# bibtab

bibtype: proceedings
filename: elefunt.bib
label: Boisvert:1997:QNS
editor: Ronald F. Boisvert
publisher: pub-CHAPMAN-HALL
address: pub-CHAPMAN-HALL:adr
pages: vii + 384
year: 1997
ISBN: 0-412-80530-8 OR 0412805308
ISBN13: 978-0-412-80530-1 OR 9780412805301
LCCN: QA297 .I35 1996
bibdate: Fri Jul 09 05:58:30 2004
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2004.07.09 05:58:30 ???
acknowledgement: ack-nhfb
raweditor: Ronald F. Boisvert
booktitle:
Quality of Numerical Software: Assessment and Enhancement. Proceedings of the IFIP TC2/WG2.5 Working Conference on the Quality of Numerical Software, Assessment and Enhancement, Oxford, United Kingdom, 8--12 July 1996

title:
Quality of Numerical Software: Assessment and Enhancement. Proceedings of the IFIP TC2/WG2.5 Working Conference on the Quality of Numerical Software, Assessment and Enhancement, Oxford, United Kingdom, 8--12 July 1996

rawbooktitle:
Quality of Numerical Software: Assessment and Enhancement. {Proceedings of the IFIP TC2/WG2.5 Working Conference on the Quality of Numerical Software, Assessment and Enhancement, Oxford, United Kingdom, 8--12 July 1996}

rawtitle:
Quality of Numerical Software: Assessment and Enhancement. {Proceedings of the IFIP TC2/WG2.5 Working Conference on the Quality of Numerical Software, Assessment and Enhancement, Oxford, United Kingdom, 8--12 July 1996}

entry:
@Proceedings{Boisvert:1997:QNS,
  editor =       "Ronald F. Boisvert",
  booktitle =    "Quality of Numerical Software: Assessment and
                 Enhancement. {Proceedings of the IFIP TC2/WG2.5 Working
                 Conference on the Quality of Numerical Software,
                 Assessment and Enhancement, Oxford, United Kingdom,
                 8--12 July 1996}",
  title =        "Quality of Numerical Software: Assessment and
                 Enhancement. {Proceedings of the IFIP TC2/WG2.5 Working
                 Conference on the Quality of Numerical Software,
                 Assessment and Enhancement, Oxford, United Kingdom,
                 8--12 July 1996}",
  publisher =    pub-CHAPMAN-HALL,
  address =      pub-CHAPMAN-HALL:adr,
  pages =        "vii + 384",
  year =         "1997",
  ISBN =         "0-412-80530-8",
  ISBN-13 =      "978-0-412-80530-1",
  LCCN =         "QA297 .I35 1996",
  bibdate =      "Fri Jul 09 05:58:30 2004",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: elefunt.bib
label: Lang:1997:ISC
editor: Tomas Lang and Jean-Michel Muller and Naofumi Takagi
booktitle: 13th IEEE Symposium on Computer Arithmetic: proceedings, July 6--9, 1997, Asilomar, California, USA
title: 13th IEEE Symposium on Computer Arithmetic: proceedings, July 6--9, 1997, Asilomar, California, USA
volume: 13
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xiii + 291
year: 1997
ISBN: 0-8186-7846-1, 0-8186-7847-X, 0-8186-7848-8 OR 0818678461, 081867847X, 0818678488
ISSN: 1063-6889 OR 10636889
LCCN: QA76.9.C62 S95 1997
bibdate: Fri Mar 27 09:56:17 MST 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1998.03.27 09:56:17 MST
note: IEEE Computer Society order number PR07846. IEEE Order Plan catalog number 97CB36091.
series: Symposium on Computer Arithmetic
acknowledgement: ack-nhfb
raweditor: Tomas Lang and Jean-Michel Muller and Naofumi Takagi
rawnote: IEEE Computer Society order number PR07846. IEEE Order Plan catalog number 97CB36091.
ISBN13:
978-0-8186-7846-2, 978-0-8186-7847-9, 978-0-8186-7848-6 OR 9780818678462, 9780818678479, 9780818678486

rawbooktitle:
13th {IEEE} Symposium on Computer Arithmetic: proceedings, July 6--9, 1997, Asilomar, California, {USA}

rawtitle:
13th {IEEE} Symposium on Computer Arithmetic: proceedings, July 6--9, 1997, Asilomar, California, {USA}

entry:
@Proceedings{Lang:1997:ISC,
  editor =       "Tomas Lang and Jean-Michel Muller and Naofumi Takagi",
  booktitle =    "13th {IEEE} Symposium on Computer Arithmetic:
                 proceedings, July 6--9, 1997, Asilomar, California,
                 {USA}",
  title =        "13th {IEEE} Symposium on Computer Arithmetic:
                 proceedings, July 6--9, 1997, Asilomar, California,
                 {USA}",
  volume =       "13",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xiii + 291",
  year =         "1997",
  ISBN =         "0-8186-7846-1, 0-8186-7847-X, 0-8186-7848-8",
  ISBN-13 =      "978-0-8186-7846-2, 978-0-8186-7847-9,
                 978-0-8186-7848-6",
  ISSN =         "1063-6889",
  LCCN =         "QA76.9.C62 S95 1997",
  bibdate =      "Fri Mar 27 09:56:17 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "IEEE Computer Society order number PR07846. IEEE Order
                 Plan catalog number 97CB36091.",
  series =       "Symposium on Computer Arithmetic",
  acknowledgement = ack-nhfb,
  sponsor =      "IEEE.",
}


bibtype: proceedings
filename: elefunt.bib
label: Thiele:1997:IIC
editor: Lothar Thiele and others
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xii + 540
year: 1997
ISBN: 0-8186-7959-X, 0-8186-7960-3, 0-8186-7958-1 OR 081867959X, 0818679603, 0818679581
LCCN: TK7874.6 .I57 1997eb; TK7874.6 .I57 1997; TK7874.6 .I58 1997
bibdate: Sun Mar 4 21:13:29 MST 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; melvyl.cdlib.org:210/CDL90
bibtimestamp: 2007.03.04 21:13:29 MST
remark: IEEE Computer Society Press order number PR07958. IEEE catalog number 97TB100177
acknowledgement: ack-nhfb
raweditor: Lothar Thiele and others
booktitle:
IEEE International Conference on Application-Specific Systems, Architectures and Processors: proceedings, July 14--16, 1997, Zurich, Switzerland

title:
IEEE International Conference on Application-Specific Systems, Architectures and Processors: proceedings, July 14--16, 1997, Zurich, Switzerland

ISBN13:
978-0-8186-7959-9, 978-0-8186-7960-5, 978-0-8186-7958-2 OR 9780818679599, 9780818679605, 9780818679582

subject:
Array processors; Congresses; Signal processing; Digital techniques; Application-specific integrated circuits

rawbooktitle:
{IEEE International Conference on Application-Specific Systems, Architectures and Processors: proceedings, July 14--16, 1997, Z{\"u}rich, Switzerland}

rawtitle:
{IEEE International Conference on Application-Specific Systems, Architectures and Processors: proceedings, July 14--16, 1997, Z{\"u}rich, Switzerland}

entry:
@Proceedings{Thiele:1997:IIC,
  editor =       "Lothar Thiele and others",
  booktitle =    "{IEEE International Conference on Application-Specific
                 Systems, Architectures and Processors: proceedings,
                 July 14--16, 1997, Z{\"u}rich, Switzerland}",
  title =        "{IEEE International Conference on Application-Specific
                 Systems, Architectures and Processors: proceedings,
                 July 14--16, 1997, Z{\"u}rich, Switzerland}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xii + 540",
  year =         "1997",
  ISBN =         "0-8186-7959-X, 0-8186-7960-3, 0-8186-7958-1",
  ISBN-13 =      "978-0-8186-7959-9, 978-0-8186-7960-5,
                 978-0-8186-7958-2",
  LCCN =         "TK7874.6 .I57 1997eb; TK7874.6 .I57 1997; TK7874.6
                 .I58 1997",
  bibdate =      "Sun Mar 4 21:13:29 MST 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Application-Specific
                 Systems, Architectures, and Processors (11th: 1997:
                 Z{\"u}rich, Switzerland)",
  remark =       "IEEE Computer Society Press order number PR07958. IEEE
                 catalog number 97TB100177",
  subject =      "Array processors; Congresses; Signal processing;
                 Digital techniques; Application-specific integrated
                 circuits",
}


bibtype: proceedings
filename: elefunt.bib
label: Rusev:1998:TMS
editor: Petur Rusev and I. Dimovski and Virginia Kiryakova
booktitle: Transformation methods and special functions, Varna '96: second international workshop: proceedings
title: Transformation methods and special functions, Varna '96: second international workshop: proceedings
publisher: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
address: Sofia, Bulgaria
pages: vi + 613
year: 1998
ISBN: 954-8986-05-1 OR 9548986051
ISBN13: 978-954-8986-05-2 OR 9789548986052
bibdate: Thu Dec 1 11:08:47 MST 2011
bibsource: fsz3950.oclc.org:210/WorldCat https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.12.01 11:08:47 MST
subject: Transformations (Mathematics); Differential equations; Integral equations
acknowledgement: ack-nhfb
raweditor: Petur Rusev and I. Dimovski and Virginia Kiryakova
remark:
``This second edition of the Workshops 'TM and SF' has been devoted to the 100th anniversary of the eminent Bulgarian mathematician Nikola Obreshkoff (1896-1963)''--T.p. verso.

TOC:
On a generalization of the theorem on two constants / G. Adamczyk On a construction of the solutions of some elliptic equations with generalized coefficients / A. Antonevich Some non-metrizable spaces of harmonic functions / G. Balikov, I. Dimitrov Duhamel-type representations of the solutions of non-local boundary value problems for the fractional diffusion-wave equation / E. Bazhlekova Pointwise convergence for Hankel transform / J. Betancour, L. Rodriguez-Mesa On fractional order continuity, integrability and derivability of real functions / B. Bonilla, J. Trujillo, M. Rivero On the root functions of a nonlocal Sturm--Liouville problem / N. Bozhinov Mellin transform theory and the role of its differential and integral operators / P. Butzer, S. Jansche Exact solution of some systems of non-selfadjoint partial differential equations / D. Callebaut Numerical computation of Lame functions / H.-J. Dobner, S. Ritter Some extremal problems for $p$-valent alpha-convex functions / J. Dziok Extension of a result on the convolution product of distributions / B. Fisher, A. Kilicman Simple algorithms for approximations of generalized elliptic-type integrals / M. A. El-Gabali, Shyam L. Kalla On Zernicke polynomials / H.-J. Glaeske Tomato salad problem in spherical stereology / R. Gorenflo On existence of solutions of ordinary differential equations of fractional order / N. Hayek ldots [et al.] Tauberian theorem for distributions / J. Jelinek Radiation field integrals and their evaluation techniques / Shyam L. Kalla, H. G. Khajah On the product of distributions / A. Kaminski On isotopies of algebras and triple systems / N. Kamiya Univalence criteria connected with arithmetic and geometric means: I / S. Kanas, A. Lecko Global and causal solutions of fractional linear differential equations / S. Kempfle, H. Beyer On the applications of Mikusinski's operational calculus to the controllability of dynamical systems / W. Kierat, K. Skornik Application of fractional calculus to solve Abel--Volterra nonlinear and linear integral equations / A. Kilbas, M. Saigo Note on linear operators and fractional calculus operators in the univalent function theory / Yong Chan Kim Application of the generalized Mikhaylov criterion / S. Krasinska On some classes of holomorphic functions in the half-plane / A. Lazinska Expansions in series of Legendre functions / E. R. Love, M. Hunter Intersections with Gronwall methods / W. Luh Applications of fractional calculus in mechanics / F. Mainardi Automorphisms in the commutant of the integration operator in spaces of Lebesgue integrable functions / S. Mincheva Applications of fractional calculus operators to univalent functions / S. Owa Application of orthogonal polynomials to solution of fractional integral equations / I. Podlubny Remark on Watson transform / A. Prudnikov, U. Skornik Generalized operators of fractional integro-differentiation in meaning of M. Saigo and their applications / O. Repin Fractional integrals and wavelet transformations / B. Rubin, D. Ryabogin, E. Shamir More generalization of fractional calculus / M. Saigo, N. Maeda On certain subclasses of analytic functions involving a linear operator / H. Saitoh On some sequence spaces / E. Savas Class of integro-differential equations via fractional calculus / N. Shawagfeh On some extreme points of the unit ball / J. Sokol, W. Szumny Hyper-Bessel operators, differential equations, functions, and integral transforms of 4th order / S. Spirova Some operational techniques in the theory of special functions / H. M. Srivastava Convolution in the theory of univalent functions / J. Stankiewicz Some extensions of the Rolle and Gauss--Lucas theorems / T. Stoyanov On infinitely divisible probability distributions and integral equations / K. Takano Generating functions related to pairs of inverse functions / R. Tremblay, B. J. Fugere Integral transforms connected with the group representations / N. Tretyakova On some integral operators in the clas of functions with negative coefficients / L. Trojnar-Spelina On a new generalized Taylor's formula / J. Trujillo, M. Rivero, B. Bonilla Some properties of the finite Laplace transform / M. Valbuena, L. Galue, I. Ali Airy integral transform and the Paley--Wiener theorem / Vu Kim Tuan On starlike functions related with hyperbolic regions / A. Wisniowska Editorial: Nikola Obreshkoff (1896--1963): biographical data and 100 selected papers of Acad. N. Obreshkoff Obreshkoff's generalization of Descartes rule / P. Rusev Obrechkoff's generalization of the Laplace and Meijer transformations: origins and recent developments / I. Dimovski, V. Kiryakova Longstanding conjecture failed? / V. Kiryakova Afterthoughts on interpretation of fractional derivatives and integrals / R. Gorenflo Modelling viscous damped oscillations by fractional differential operators / S. Kempfle Considerations on fractional calculus: interpretations and applications / F. Mainardi Introduction to the fractional calculus and some applications / K. Oldham

rawbooktitle:
{Transformation methods and special functions, Varna '96: second international workshop: proceedings}

rawtitle:
{Transformation methods and special functions, Varna '96: second international workshop: proceedings}

rawTOC:
On a generalization of the theorem on two constants / G. Adamczyk \\ On a construction of the solutions of some elliptic equations with generalized coefficients / A. Antonevich \\ Some non-metrizable spaces of harmonic functions / G. Balikov, I. Dimitrov \\ Duhamel-type representations of the solutions of non-local boundary value problems for the fractional diffusion-wave equation / E. Bazhlekova \\ Pointwise convergence for Hankel transform / J. Betancour, L. Rodr\'iguez-Mesa \\ On fractional order continuity, integrability and derivability of real functions / B. Bonilla, J. Trujillo, M. Rivero \\ On the root functions of a nonlocal Sturm--Liouville problem / N. Bozhinov \\ Mellin transform theory and the role of its differential and integral operators / P. Butzer, S. Jansche \\ Exact solution of some systems of non-selfadjoint partial differential equations / D. Callebaut \\ Numerical computation of Lame functions / H.-J. Dobner, S. Ritter \\ Some extremal problems for $p$-valent alpha-convex functions / J. Dziok \\ Extension of a result on the convolution product of distributions / B. Fisher, A. Kilicman \\ Simple algorithms for approximations of generalized elliptic-type integrals / M. A. El-Gabali, Shyam L. Kalla \\ On Zernicke polynomials / H.-J. Glaeske \\ Tomato salad problem in spherical stereology / R. Gorenflo \\ On existence of solutions of ordinary differential equations of fractional order / N. Hayek \ldots{} [et al.] \\ Tauberian theorem for distributions / J. Jel\'inek \\ Radiation field integrals and their evaluation techniques / Shyam L. Kalla, H. G. Khajah \\ On the product of distributions / A. Kami\'nski \\ On isotopies of algebras and triple systems / N. Kamiya \\ Univalence criteria connected with arithmetic and geometric means: I / S. Kanas, A. Lecko \\ Global and causal solutions of fractional linear differential equations / S. Kempfle, H. Beyer \\ On the applications of Mikusinski's operational calculus to the controllability of dynamical systems / W. Kierat, K. Sk\'ornik \\ Application of fractional calculus to solve Abel--Volterra nonlinear and linear integral equations / A. Kilbas, M. Saigo \\ Note on linear operators and fractional calculus operators in the univalent function theory / Yong Chan Kim \\ Application of the generalized Mikhaylov criterion / S. Krasinska \\ On some classes of holomorphic functions in the half-plane / A. Lazi{\'n}ska \\ Expansions in series of Legendre functions / E. R. Love, M. Hunter \\ Intersections with Gronwall methods / W. Luh \\ Applications of fractional calculus in mechanics / F. Mainardi \\ Automorphisms in the commutant of the integration operator in spaces of Lebesgue integrable functions / S. Mincheva \\ Applications of fractional calculus operators to univalent functions / S. Owa \\ Application of orthogonal polynomials to solution of fractional integral equations / I. Podlubny \\ Remark on Watson transform / A. Prudnikov, U. Sk\'ornik \\ Generalized operators of fractional integro-differentiation in meaning of M. Saigo and their applications / O. Repin \\ Fractional integrals and wavelet transformations / B. Rubin, D. Ryabogin, E. Shamir \\ More generalization of fractional calculus / M. Saigo, N. Maeda \\ On certain subclasses of analytic functions involving a linear operator / H. Saitoh \\ On some sequence spaces / E. Savas \\ Class of integro-differential equations via fractional calculus / N. Shawagfeh \\ On some extreme points of the unit ball / J. Sokol, W. Szumny \\ Hyper-Bessel operators, differential equations, functions, and integral transforms of 4th order / S. Spirova \\ Some operational techniques in the theory of special functions / H. M. Srivastava \\ Convolution in the theory of univalent functions / J. Stankiewicz \\ Some extensions of the Rolle and Gauss--Lucas theorems / T. Stoyanov \\ On infinitely divisible probability distributions and integral equations / K. Takano \\ Generating functions related to pairs of inverse functions / R. Tremblay, B. J. Fug\`ere \\ Integral transforms connected with the group representations / N. Tretyakova \\ On some integral operators in the clas of functions with negative coefficients / L. Trojnar-Spelina \\ On a new generalized Taylor's formula / J. Trujillo, M. Rivero, B. Bonilla \\ Some properties of the finite Laplace transform / M. Valbuena, L. Galue, I. Ali \\ Airy integral transform and the Paley--Wiener theorem / Vu Kim Tuan \\ On starlike functions related with hyperbolic regions / A. Wi{\'s}niowska \\ Editorial: Nikola Obreshkoff (1896--1963): biographical data and 100 selected papers of Acad. N. Obreshkoff \\ Obreshkoff's generalization of Descartes rule / P. Rusev \\ Obrechkoff's generalization of the Laplace and Meijer transformations: origins and recent developments / I. Dimovski, V. Kiryakova \\ Longstanding conjecture failed? / V. Kiryakova \\ Afterthoughts on interpretation of fractional derivatives and integrals / R. Gorenflo \\ Modelling viscous damped oscillations by fractional differential operators / S. Kempfle \\ Considerations on fractional calculus: interpretations and applications / F. Mainardi \\ Introduction to the fractional calculus and some applications / K. Oldham

entry:
@Proceedings{Rusev:1998:TMS,
  editor =       "Petur Rusev and I. Dimovski and Virginia Kiryakova",
  booktitle =    "{Transformation methods and special functions, Varna
                 '96: second international workshop: proceedings}",
  title =        "{Transformation methods and special functions, Varna
                 '96: second international workshop: proceedings}",
  publisher =    "Institute of Mathematics and Informatics, Bulgarian
                 Academy of Sciences",
  address =      "Sofia, Bulgaria",
  pages =        "vi + 613",
  year =         "1998",
  ISBN =         "954-8986-05-1",
  ISBN-13 =      "978-954-8986-05-2",
  LCCN =         "????",
  bibdate =      "Thu Dec 1 11:08:47 MST 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  meetingname =  "International Workshop ``Transform Methods and Special
                 Functions'' (2nd: 1996: Varna, Bulgaria)",
  remark =       "``This second edition of the Workshops 'TM and SF' has
                 been devoted to the 100th anniversary of the eminent
                 Bulgarian mathematician Nikola Obreshkoff
                 (1896-1963)''--T.p. verso.",
  subject =      "Transformations (Mathematics); Differential equations;
                 Integral equations",
  tableofcontents = "On a generalization of the theorem on two constants
                 / G. Adamczyk \\
                 On a construction of the solutions of some elliptic
                 equations with generalized coefficients / A. Antonevich
                 \\
                 Some non-metrizable spaces of harmonic functions / G.
                 Balikov, I. Dimitrov \\
                 Duhamel-type representations of the solutions of
                 non-local boundary value problems for the fractional
                 diffusion-wave equation / E. Bazhlekova \\
                 Pointwise convergence for Hankel transform / J.
                 Betancour, L. Rodr\'iguez-Mesa \\
                 On fractional order continuity, integrability and
                 derivability of real functions / B. Bonilla, J.
                 Trujillo, M. Rivero \\
                 On the root functions of a nonlocal Sturm--Liouville
                 problem / N. Bozhinov \\
                 Mellin transform theory and the role of its
                 differential and integral operators / P. Butzer, S.
                 Jansche \\
                 Exact solution of some systems of non-selfadjoint
                 partial differential equations / D. Callebaut \\
                 Numerical computation of Lame functions / H.-J. Dobner,
                 S. Ritter \\
                 Some extremal problems for $p$-valent alpha-convex
                 functions / J. Dziok \\
                 Extension of a result on the convolution product of
                 distributions / B. Fisher, A. Kilicman \\
                 Simple algorithms for approximations of generalized
                 elliptic-type integrals / M. A. El-Gabali, Shyam L.
                 Kalla \\
                 On Zernicke polynomials / H.-J. Glaeske \\
                 Tomato salad problem in spherical stereology / R.
                 Gorenflo \\
                 On existence of solutions of ordinary differential
                 equations of fractional order / N. Hayek \ldots{} [et
                 al.] \\
                 Tauberian theorem for distributions / J. Jel\'inek \\
                 Radiation field integrals and their evaluation
                 techniques / Shyam L. Kalla, H. G. Khajah \\
                 On the product of distributions / A. Kami\'nski \\
                 On isotopies of algebras and triple systems / N. Kamiya
                 \\
                 Univalence criteria connected with arithmetic and
                 geometric means: I / S. Kanas, A. Lecko \\
                 Global and causal solutions of fractional linear
                 differential equations / S. Kempfle, H. Beyer \\
                 On the applications of Mikusinski's operational
                 calculus to the controllability of dynamical systems /
                 W. Kierat, K. Sk\'ornik \\
                 Application of fractional calculus to solve
                 Abel--Volterra nonlinear and linear integral equations
                 / A. Kilbas, M. Saigo \\
                 Note on linear operators and fractional calculus
                 operators in the univalent function theory / Yong Chan
                 Kim \\
                 Application of the generalized Mikhaylov criterion / S.
                 Krasinska \\
                 On some classes of holomorphic functions in the
                 half-plane / A. Lazi{\'n}ska \\
                 Expansions in series of Legendre functions / E. R.
                 Love, M. Hunter \\
                 Intersections with Gronwall methods / W. Luh \\
                 Applications of fractional calculus in mechanics / F.
                 Mainardi \\
                 Automorphisms in the commutant of the integration
                 operator in spaces of Lebesgue integrable functions /
                 S. Mincheva \\
                 Applications of fractional calculus operators to
                 univalent functions / S. Owa \\
                 Application of orthogonal polynomials to solution of
                 fractional integral equations / I. Podlubny \\
                 Remark on Watson transform / A. Prudnikov, U. Sk\'ornik
                 \\
                 Generalized operators of fractional
                 integro-differentiation in meaning of M. Saigo and
                 their applications / O. Repin \\
                 Fractional integrals and wavelet transformations / B.
                 Rubin, D. Ryabogin, E. Shamir \\
                 More generalization of fractional calculus / M. Saigo,
                 N. Maeda \\
                 On certain subclasses of analytic functions involving a
                 linear operator / H. Saitoh \\
                 On some sequence spaces / E. Savas \\
                 Class of integro-differential equations via fractional
                 calculus / N. Shawagfeh \\
                 On some extreme points of the unit ball / J. Sokol, W.
                 Szumny \\
                 Hyper-Bessel operators, differential equations,
                 functions, and integral transforms of 4th order / S.
                 Spirova \\
                 Some operational techniques in the theory of special
                 functions / H. M. Srivastava \\
                 Convolution in the theory of univalent functions / J.
                 Stankiewicz \\
                 Some extensions of the Rolle and Gauss--Lucas theorems
                 / T. Stoyanov \\
                 On infinitely divisible probability distributions and
                 integral equations / K. Takano \\
                 Generating functions related to pairs of inverse
                 functions / R. Tremblay, B. J. Fug\`ere \\
                 Integral transforms connected with the group
                 representations / N. Tretyakova \\
                 On some integral operators in the clas of functions
                 with negative coefficients / L. Trojnar-Spelina \\
                 On a new generalized Taylor's formula / J. Trujillo, M.
                 Rivero, B. Bonilla \\
                 Some properties of the finite Laplace transform / M.
                 Valbuena, L. Galue, I. Ali \\
                 Airy integral transform and the Paley--Wiener theorem /
                 Vu Kim Tuan \\
                 On starlike functions related with hyperbolic regions /
                 A. Wi{\'s}niowska \\
                 Editorial: Nikola Obreshkoff (1896--1963): biographical
                 data and 100 selected papers of Acad. N. Obreshkoff \\
                 Obreshkoff's generalization of Descartes rule / P.
                 Rusev \\
                 Obrechkoff's generalization of the Laplace and Meijer
                 transformations: origins and recent developments / I.
                 Dimovski, V. Kiryakova \\
                 Longstanding conjecture failed? / V. Kiryakova \\
                 Afterthoughts on interpretation of fractional
                 derivatives and integrals / R. Gorenflo \\
                 Modelling viscous damped oscillations by fractional
                 differential operators / S. Kempfle \\
                 Considerations on fractional calculus: interpretations
                 and applications / F. Mainardi \\
                 Introduction to the fractional calculus and some
                 applications / K. Oldham",
}


bibtype: book
filename: elefunt.bib
label: Bultheel:1999:ORF
editor: Adhemar Bultheel and Pablo Gonzales-Vera and Erik Hendriksen and Olav Njastad
booktitle: Orthogonal Rational Functions
title: Orthogonal Rational Functions
volume: 5
publisher: pub-CAMBRIDGE
address: pub-CAMBRIDGE:adr
pages: xiv + 407
year: 1999
ISBN: 0-521-65006-2 (hardcover) OR 0521650062 (hardcover)
ISBN13: 978-0-521-65006-9 (hardcover) OR 9780521650069 (hardcover)
LCCN: QA404.5 .O75 1999
bibdate: Tue Mar 24 21:04:21 MDT 2009
bibtimestamp: 2009.03.24 21:04:21 MDT
series: Cambridge monographs on applied and computational mathematics
subject: functions, orthogonal; functions of complex variables
acknowledgement: ack-nhfb
rawbooktitle: Orthogonal Rational Functions
raweditor: Adhemar Bultheel and Pablo Gonzales-Vera and Erik Hendriksen and Olav Njastad
rawtitle: Orthogonal Rational Functions
URL:
http://www.loc.gov/catdir/description/cam029/98011646.html; http://www.loc.gov/catdir/toc/cam024/98011646.html

entry:
@Book{Bultheel:1999:ORF,
  editor =       "Adhemar Bultheel and Pablo Gonzales-Vera and Erik
                 Hendriksen and Olav Njastad",
  booktitle =    "Orthogonal Rational Functions",
  title =        "Orthogonal Rational Functions",
  volume =       "5",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xiv + 407",
  year =         "1999",
  ISBN =         "0-521-65006-2 (hardcover)",
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subject: Signal processing; Digital techniques; Congresses; Algorithms; Computer architecture
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label: Berggren:2000:PSB
editor: Lennart Berggren and Jonathan Borwein and Peter Borwein
booktitle: Pi: a source book
title: Pi: a source book
publisher: pub-SV
address: pub-SV:adr
edition: Second
pages: xx + 736
year: 2000
DOI: https://doi.org/10.1007/978-1-4757-3240-5
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subject: Pi (mathematical constant)
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TOC:
Preface / v Preface to the Second Edition / viii Acknowledgments / ix Introduction / xvii 1. The Rhind Mathematical Papyrus-Problem 50 ($approx $ 1650 B.C.) / A problem dealing with the area of a round field of given diameter / 1 2. Engels. Quadrature of the Circle in Ancient Egypt (1977) / A conjectural explanation of how the mathematicians of ancient Egypt approximated the area of a circle / 3 3. Archimedes. Measurement of a Circle ($approx $ 250 BC) / The seminal work in which Archimedes presents the first true algorithm for $pi $ / 7 4. Phillips. Archimedes the Numerical Analyst (1981) / A summary of Archimedes' work on the computation of $pi $ using modern notation / 15 5. Lam and Ang. Circle Measurements in Ancient China (1986) / This paper discusses and contains a translation of Liu Hui's (3rd century) method for evaluating $pi $ and also examines values for $pi $ given by Zu Chongzhi (429--500) / 20 6. The Banu Musa: The Measurement of Plane and Solid Figures ($approx $ 850) / This extract gives an explicit statement and proof that the ratio of the circumference to the diameter is constant / 36 7. Madhava. The Power Series for Arctan and Pi ($approx $ 1400) / These theorems by a fifteenth century Indian mathematician give Gregory's series for arctan with remainder terms and Leibniz's series for $pi $ / 45 8. Hope-Jones. Ludolph (or Ludolff or Lucius) van Ceulen (1938) / Correspondence about van Ceulen's tombstone in reference to it containing some digits of $pi $ / 51 9. Viete. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) / Two excerpts. One containing the first infinite expression of $pi $, obtained by relating the area of a regular $2n$-gon to that of a regular $n$-gon / 53 10. Wallis. Computation of $pi $ by Successive Interpolations (1655) / How Wallis derived the infinite product for $pi $ that bears his name / 68 11. Wallis. Arithmetica Infinitorum (1655) / An excerpt including Prop. 189, 191 and an alternate form of the result that gives Wm. Brounker's continued fraction expression for $4/pi $ / 78 12. Huygens. De Circuli Magnitudine Inventa (1724) / Huygens's proof of W. Snell's discovery of improvements in Archimedes' method of estimating the lengths of circular arcs / 81 13. Gregory. Correspondence with John Collins (1671) / A letter to Collins in which he gives his series for arctangent, carried to the ninth power. / 87 14. Roy. The Discovery of the Series Formula for $pi $ by Leibniz, Gregory, and Nilakantha (1990) / A discussion of the discovery of the series $pi /4 = 1 - 1/3 + 1/5, cdots $ / 92 15. Jones. The First Use of $pi $ for the Circle Ratio (1706) / An excerpt from Jones' book, the Synopsis Palmariorum Matheseos: or, a New Introduction to the Mathematics, London, 1706 / 108 16. Newton. Of the Method of Fluxions and Infinite Series (1737) / An excerpt giving Newton's calculation of $pi $ to 16 decimal places / 110 17. Euler. Chapter 10 of Introduction to Analysis of the Infinite (On the Use of the Discovered Fractions to Sum Infinite Series) (1748) / This includes many of Euler's infinite series for $pi $ and powers of $pi $ / 112 18. Lambert. Memoire Sur Quelques Proprietes Remarquables Des Quantites Transcendentes Circulaires et Logarithmiques (1761) / An excerpt from Lambert's original proof of the irrationality of $pi $ / 129 19. Lambert. Irrationality of $pi $ (1969) / A translation and Struik's discussion of Lambert's proof of the irrationality of $pi $ / 141 20. Shanks. Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals (1853) / Pages from Shank's report of his monumental hand calculation of $pi $ / 147 21. Hermite. Sur La Fonction Exponentielle (1873) / The first proof of the transcendence of $e$ / 162 22. Lindemann. Ueber die Zahl $pi $ (1882) / The first proof of the transcendence of $pi $ / 194 23. Weierstrass. Zu Lindemann's Abhandlung ``Uber die Ludolphsche Zahl'' (1885) / Weierstrass' proof of the transcendence of $pi $ / 207 24. Hilbert. Ueber die Trancendenz der Zahlen $e$ und $pi $ (1893) / Hilbert's short and elegant simplification of the transcendence proofs for $e$ and $pi $ / 226 25. Goodwin. Quadrature of the Circle (1894) / The dubious origin of the attempted legislation of the value of $pi $ in Indiana / 230 26. Edington. House Bill No. 246, Indiana State Legislature, 1897 (1935) / A summary of the action taken by the Indiana State Legislature to fix the value of $pi $ (including a copy of the actual bill that was proposed) / 231 27. Singmaster. The Legal Values of Pi (1985) / A history of the attempt by Indiana to legislate the value of $pi $ / 236 28. Ramanujan. Squaring the Circle (1913) / A geometric approximation to $pi $ / 240 29. Ramanujan. Modular Equations and Approximations to $pi $ (1914) / Ramanujan's seminal paper on $pi $ that includes a number of striking series and algebraic approximations / 241 30. Watson. The Marquis and the Land Agent: A Tale of the Eighteenth Century (1933) / A Presidential address to the Mathematical Association in which the author gives an account of ``some of the elementary work on arcs and ellipses and other curves which led up to the idea of inverting an elliptic integral, and so laying the foundations of elliptic functions and doubly periodic functions generally.'' / 258 31. Ballantine. The Best (?) Formula for Computing $pi $ to a Thousand Places (1939) / An early attempt to orchestrate the calculation of $pi $ more cleverly / 271 32. Birch. An Algorithm for Construction of Arctangent Relations (1946) / The object of this note is to express $pi / 4 $ as a sum of arctan relations in powers of 10 / 274 33. Niven. A Simple Proof that $pi $ Is Irrational (1947) / A very concise proof of the irrationality of $pi $ / 276 34. Reitwiesner. An ENIAC Determination of $pi $ and $e$ to 2000 Decimal Places (1950) / One of the first computer-based computations / 277 35. Schepler. The Chronology of Pi (1950) / A fairly reliable outline of the history of $pi $ from 3000 BC to 1949 / 282 36. Mahler. On the Approximation of $pi $ (1953) / ``The aim of this paper is to determine an explicit lower bound free of unknown constants for the distance of $pi $ from a given rational or algebraic number'' / 306 37. Wrench, Jr. The Evolution of Extended Decimal Approximations to $pi $ (1960) / A history of the calculation of the digits of $pi $ to 1960 38. Shanks and Wrench, Jr. Calculation of $pi $ to 100,000 Decimals (1962) / A landmark computation of $pi $ to more than 100,000 places / 326 39. Sweeny. On the Computation of Euler's Constant (1963) / The computation of Euler's constant to 3566 decimal places / 350 40. Baker. Approximations to the Logarithms of Certain Rational Numbers (1964) / The main purpose of this deep and fundamental paper is to ``deduce results concerning the accuracy with which the natural logarithms of certain rational numbers may be approximated by rational numbers, or, more generally, by algebraic numbers of bounded degree.'' / 359 41. Adams. Asymptotic Diophantine Approximations to $E$ (1966) / An asymptotic estimate for the rational approximation to $e$ which disproves the conjecture that $e$ behaves like almost all numbers in this respect / 368 42. Mahler. Applications of Some Formulae by Hermite to the Approximations of Exponentials of Logarithms (1967) / An important extension of Hilbert's approach to the study of transcendence / 372 43. Eves. In Mathematical Circles; A Selection of Mathematical Stories and Anecdotes (excerpt) (1969) / A collection of mathematical stories and anecdotes about $pi $ / 400 44. Eves. Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (1971) / A further collection of mathematical stories and anecdotes about $pi $ / 402 45. Todd. The Lemniscate Constants (1975) / A unifying account of some of the methods used for computing the lemniscate constants / 412 46. Salamin. Computation of r Using Arithmetic-Geometric Mean (1976) / The first quadratically converging algorithm for $pi $ based on Gauss's AGM and on Legendre's relation for elliptic integrals / 418 47. Brent. Fast Multiple-Precision Evaluation of Elementary Functions (1976) / ``This paper contains the `Gauss-Legendre' method and some different algorithms for log and exp (using Landen transformations).'' / 424 48. Beukers. A Note on the Irrationality of $zeta (2)$ and $zetq (3)$ (1979) / A short and elegant recasting of Apery's proof of the irrationality of $zeta (3)$ (and $zeta (2)$) / 434 49. van der Poorten. A Proof that Euler Missed ldots Apery's Proof of the Irrationality of $zeta (3)$ (1979) / An illuminating account of Apery's astonishing proof of the irrationality of $zeta (3)$ / 439 50. Brent and McMillan. Some New Algorithms for High-Precision Computation of Euler's Constant (1980) / Several new algorithms for high precision calculation of Euler's constant, including one which was used to compute 30,100 decimal places / 448 51. Apostol. A Proof that Euler Missed: Evaluating $zeta (2)$ the Easy Way (1983) / This note shows that one of the double integrals considered by Beukers ([48] in the table of contents) can be used to establish directly that $zeta (2) = pi / 6$ / 456 52. O'Shaughnessy. Putting God Back in Math (1983) / An article about the Institute of Pi Research, an organization that ``pokes fun at creationists by pointing out that even the Bible makes mistakes.'' / 458 53. Stern. A Remarkable Approximation to $pi $ (1985) / Justification of the value of $pi $ in the Bible through numerological interpretations / 460 54. Newman and Shanks. On a Sequence Arising in Series for $pi $ (1984) / More connections between $pi $ and modular equations / 462 55. Cox. The Arithmetic-Geometric Mean of Gauss (1984) / An extensive study of the complex analytic properties of the AGM / 481 56. Borwein and Borwein. The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions (1984) / The relationship between the AGM iteration and fast computation of elementary functions (one of the by-products is an algorithm for $pi $) / 537 57. Newman. A Simplified Version of the Fast Algorithms of Brent and Salamin (1984) / Elementary algorithms for evaluating $e^x$ and $pi $ using the Gauss AGM without explicit elliptic function theory / 553 58. Wagon. Is Pi Normal? (1985) / A discussion of the conjecture that $pi $ has randomly distributed digits / 557 59. Keith. Circle Digits: A Self-Referential Story (1986) / A mnemonic for the first 402 decimal places of $pi $ / 560 60. Bailey. The Computation of $pi $ to 29,360,000 Decimal Digits Using Borweins' Quartically Convergent Algorithm (1988) / The algorithms used, both for $pi $ and for performing the required multiple-precision arithmetic / 562 61. Kanada. Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of 1 Calculation (1988) / Details of the computation and statistical tests of the first 200 million digits of $pi $ / 576 62. Borwein and Borwein. Ramanujan and Pi (1988) / This article documents Ramanujan's life, his ingenious approach to calculating $pi $, and how his approach is now incorporated into modern computer algorithms / 588 63. Chudnovsky and Chudnovsky. Approximations and Complex Multiplication According to Ramanujan (1988) / This excerpt describes ``Ramanujan's original quadratic period--quasiperiod relations for elliptic curves with complex multiplication and their applications to representations of fractions of $pi $ and other logarithms in terms of rapidly convergent nearly integral (hypergeometric) series.'' / 596 64. Borwein, Borwein and Bailey. Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi (1989) / An exposition of the computation of $pi $ using mathematics rooted in Ramanujan's work / 623 65. Borwein, Borwein and Dilcher. Pi, Euler Numbers, and Asymptotic Expansions (1989) / An explanation as to why the slowly convergent Gregory series for $pi $, truncated at 500,000 terms, gives $pi $ to 40 places with only the 6th, 17th, 18th, and 29th places being incorrect / 642 66. Beukers, Bezivin, and Robba. An Alternative Proof of the Lindemann--Weierstrass Theorem (1990) / The Lindemann--Weierstrass theorem as a by-product of a criterion for rationality of solutions of differential equations / 649 67. Webster. The Tail of Pi (1991) / Various anecdotes about $pi $ from the 14th annual IMO Lecture to the Royal Society / 654 68. Eco. An excerpt from Foucault's Pendulum (1993) / ``The unnumbered perfection of the circle itself.'' / 658 69. Keith. Pi Mnemonics and the Art of Constrained Writing (1996) / A mnemonic for $pi $ based on Edgar Allen Poe's poem ``The Raven.'' / 659 70. Bailey, Borwein, and Plouffe. On the Rapid Computation of Various Polylogarithmic Constants (1996) / A fast method for computing individual digits of $pi $ in base 2 / 663 Appendix I --- On the Early History of Pi / 677 Appendix II --- A Computational Chronology of Pi / 683 Appendix III --- Selected Formulae for Pi / 686 Appendix IV --- Translations of Viete and Huygens / 690 Bibliography / 711 Credits / 717 Index / 721

rawTOC:
Preface / v \\ \\ Preface to the Second Edition / viii \\ Acknowledgments / ix \\ \\ Introduction / xvii \\ \\ 1. The Rhind Mathematical Papyrus-Problem 50 ($\approx$ 1650 B.C.) / A problem dealing with the area of a round field of given diameter / 1 \\ \\ 2. Engels. Quadrature of the Circle in Ancient Egypt (1977) / A conjectural explanation of how the mathematicians of ancient Egypt approximated the area of a circle / 3 \\ \\ 3. Archimedes. Measurement of a Circle ($\approx$ 250 BC) / The seminal work in which Archimedes presents the first true algorithm for $\pi$ / 7 \\ \\ 4. Phillips. Archimedes the Numerical Analyst (1981) / A summary of Archimedes' work on the computation of $\pi$ using modern notation / 15 \\ \\ 5. Lam and Ang. Circle Measurements in Ancient China (1986) / This paper discusses and contains a translation of Liu Hui's (3rd century) method for evaluating $\pi$ and also examines values for $\pi$ given by Zu Chongzhi (429--500) / 20 \\ \\ 6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane and Solid Figures ($\approx$ 850) / This extract gives an explicit statement and proof that the ratio of the circumference to the diameter is constant / 36 \\ \\ 7. M{\=a}dhava. The Power Series for Arctan and Pi ($\approx$ 1400) / These theorems by a fifteenth century Indian mathematician give Gregory's series for arctan with remainder terms and Leibniz's series for $\pi$ / 45 \\ \\ 8. Hope-Jones. Ludolph (or Ludolff or Lucius) van Ceulen (1938) / Correspondence about van Ceulen's tombstone in reference to it containing some digits of $\pi$ / 51 \\ \\ 9. Vi{\'e}te. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) / Two excerpts. One containing the first infinite expression of $\pi$, obtained by relating the area of a regular $2n$-gon to that of a regular $n$-gon / 53 \\ \\ 10. Wallis. Computation of $\pi$ by Successive Interpolations (1655) / How Wallis derived the infinite product for $\pi$ that bears his name / 68 \\ \\ 11. Wallis. Arithmetica Infinitorum (1655) / An excerpt including Prop. 189, 191 and an alternate form of the result that gives Wm. Brounker's continued fraction expression for $4/\pi$ / 78 \\ \\ 12. Huygens. De Circuli Magnitudine Inventa (1724) / Huygens's proof of W. Snell's discovery of improvements in Archimedes' method of estimating the lengths of circular arcs / 81 \\ \\ 13. Gregory. Correspondence with John Collins (1671) / A letter to Collins in which he gives his series for arctangent, carried to the ninth power. / 87 \\ \\ 14. Roy. The Discovery of the Series Formula for $\pi$ by Leibniz, Gregory, and Nilakantha (1990) / A discussion of the discovery of the series $\pi/4 = 1 - 1/3 + 1/5, \cdots{}$ / 92 \\ \\ 15. Jones. The First Use of $\pi$ for the Circle Ratio (1706) / An excerpt from Jones' book, the Synopsis Palmariorum Matheseos: or, a New Introduction to the Mathematics, London, 1706 / 108 \\ \\ 16. Newton. Of the Method of Fluxions and Infinite Series (1737) / An excerpt giving Newton's calculation of $\pi$ to 16 decimal places / 110 \\ \\ 17. Euler. Chapter 10 of Introduction to Analysis of the Infinite (On the Use of the Discovered Fractions to Sum Infinite Series) (1748) / This includes many of Euler's infinite series for $\pi$ and powers of $\pi$ / 112 \\ \\ 18. Lambert. M{\'e}moire Sur Quelques Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s Transcendentes Circulaires et Logarithmiques (1761) / An excerpt from Lambert's original proof of the irrationality of $\pi$ / 129 \\ \\ 19. Lambert. Irrationality of $\pi$ (1969) / A translation and Struik's discussion of Lambert's proof of the irrationality of $\pi$ / 141 \\ \\ 20. Shanks. Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals (1853) / Pages from Shank's report of his monumental hand calculation of $\pi$ / 147 \\ \\ 21. Hermite. Sur La Fonction Exponentielle (1873) / The first proof of the transcendence of $e$ / 162 \\ \\ 22. Lindemann. Ueber die Zahl $\pi$ (1882) / The first proof of the transcendence of $\pi$ / 194 \\ \\ 23. Weierstrass. Zu Lindemann's Abhandlung ``Uber die Ludolphsche Zahl'' (1885) / Weierstrass' proof of the transcendence of $\pi$ / 207 \\ \\ 24. Hilbert. Ueber die Trancendenz der Zahlen $e$ und $\pi$ (1893) / Hilbert's short and elegant simplification of the transcendence proofs for $e$ and $\pi$ / 226 \\ \\ 25. Goodwin. Quadrature of the Circle (1894) / The dubious origin of the attempted legislation of the value of $\pi$ in Indiana / 230 \\ \\ 26. Edington. House Bill No. 246, Indiana State Legislature, 1897 (1935) / A summary of the action taken by the Indiana State Legislature to fix the value of $\pi$ (including a copy of the actual bill that was proposed) / 231 \\ \\ 27. Singmaster. The Legal Values of Pi (1985) / A history of the attempt by Indiana to legislate the value of $\pi$ / 236 \\ \\ 28. Ramanujan. Squaring the Circle (1913) / A geometric approximation to $\pi$ / 240 \\ \\ 29. Ramanujan. Modular Equations and Approximations to $\pi$ (1914) / Ramanujan's seminal paper on $\pi$ that includes a number of striking series and algebraic approximations / 241 \\ \\ 30. Watson. The Marquis and the Land Agent: A Tale of the Eighteenth Century (1933) / A Presidential address to the Mathematical Association in which the author gives an account of ``some of the elementary work on arcs and ellipses and other curves which led up to the idea of inverting an elliptic integral, and so laying the foundations of elliptic functions and doubly periodic functions generally.'' / 258 \\ \\ 31. Ballantine. The Best (?) Formula for Computing $\pi$ to a Thousand Places (1939) / An early attempt to orchestrate the calculation of $\pi$ more cleverly / 271 \\ \\ 32. Birch. An Algorithm for Construction of Arctangent Relations (1946) / The object of this note is to express $\pi / 4 $ as a sum of arctan relations in powers of 10 / 274 \\ \\ 33. Niven. A Simple Proof that $\pi$ Is Irrational (1947) / A very concise proof of the irrationality of $\pi$ / 276 \\ \\ 34. Reitwiesner. An ENIAC Determination of $\pi$ and $e$ to 2000 Decimal Places (1950) / One of the first computer-based computations / 277 \\ \\ 35. Schepler. The Chronology of Pi (1950) / A fairly reliable outline of the history of $\pi$ from 3000 BC to 1949 / 282 \\ \\ 36. Mahler. On the Approximation of $\pi$ (1953) / ``The aim of this paper is to determine an explicit lower bound free of unknown constants for the distance of $\pi$ from a given rational or algebraic number'' / 306 \\ \\ 37. Wrench, Jr. The Evolution of Extended Decimal Approximations to $\pi$ (1960) / A history of the calculation of the digits of $\pi$ to 1960 \\ \\ 38. Shanks and Wrench, Jr. Calculation of $\pi$ to 100,000 Decimals (1962) / A landmark computation of $\pi$ to more than 100,000 places / 326 \\ \\ 39. Sweeny. On the Computation of Euler's Constant (1963) / The computation of Euler's constant to 3566 decimal places / 350 \\ \\ 40. Baker. Approximations to the Logarithms of Certain Rational Numbers (1964) / The main purpose of this deep and fundamental paper is to ``deduce results concerning the accuracy with which the natural logarithms of certain rational numbers may be approximated by rational numbers, or, more generally, by algebraic numbers of bounded degree.'' / 359 \\ \\ 41. Adams. Asymptotic Diophantine Approximations to $E$ (1966) / An asymptotic estimate for the rational approximation to $e$ which disproves the conjecture that $e$ behaves like almost all numbers in this respect / 368 \\ \\ 42. Mahler. Applications of Some Formulae by Hermite to the Approximations of Exponentials of Logarithms (1967) / An important extension of Hilbert's approach to the study of transcendence / 372 \\ \\ 43. Eves. In Mathematical Circles; A Selection of Mathematical Stories and Anecdotes (excerpt) (1969) / A collection of mathematical stories and anecdotes about $\pi$ / 400 \\ \\ 44. Eves. Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (1971) / A further collection of mathematical stories and anecdotes about $\pi$ / 402 \\ \\ 45. Todd. The Lemniscate Constants (1975) / A unifying account of some of the methods used for computing the lemniscate constants / 412 \\ \\ 46. Salamin. Computation of r Using Arithmetic-Geometric Mean (1976) / The first quadratically converging algorithm for $\pi$ based on Gauss's AGM and on Legendre's relation for elliptic integrals / 418 \\ \\ 47. Brent. Fast Multiple-Precision Evaluation of Elementary Functions (1976) / ``This paper contains the `Gauss-Legendre' method and some different algorithms for log and exp (using Landen transformations).'' / 424 \\ \\ 48. Beukers. A Note on the Irrationality of $\zeta(2)$ and $\zetq(3)$ (1979) / A short and elegant recasting of Ap{\'e}ry's proof of the irrationality of $\zeta(3)$ (and $\zeta(2)$) / 434 \\ \\ 49. van der Poorten. A Proof that Euler Missed \ldots{} Ap{\'e}ry's Proof of the Irrationality of $\zeta(3)$ (1979) / An illuminating account of Ap{\'e}ry's astonishing proof of the irrationality of $\zeta(3)$ / 439 \\ \\ 50. Brent and McMillan. Some New Algorithms for High-Precision Computation of Euler's Constant (1980) / Several new algorithms for high precision calculation of Euler's constant, including one which was used to compute 30,100 decimal places / 448 \\ \\ 51. Apostol. A Proof that Euler Missed: Evaluating $\zeta(2)$ the Easy Way (1983) / This note shows that one of the double integrals considered by Beukers ([48] in the table of contents) can be used to establish directly that $\zeta(2) = \pi / 6$ / 456 \\ \\ 52. O'Shaughnessy. Putting God Back in Math (1983) / An article about the Institute of Pi Research, an organization that ``pokes fun at creationists by pointing out that even the Bible makes mistakes.'' / 458 \\ \\ 53. Stern. A Remarkable Approximation to $\pi$ (1985) / Justification of the value of $\pi$ in the Bible through numerological interpretations / 460 \\ \\ 54. Newman and Shanks. On a Sequence Arising in Series for $\pi$ (1984) / More connections between $\pi$ and modular equations / 462 \\ \\ 55. Cox. The Arithmetic-Geometric Mean of Gauss (1984) / An extensive study of the complex analytic properties of the AGM / 481 \\ \\ 56. Borwein and Borwein. The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions (1984) / The relationship between the AGM iteration and fast computation of elementary functions (one of the by-products is an algorithm for $\pi$) / 537 \\ \\ 57. Newman. A Simplified Version of the Fast Algorithms of Brent and Salamin (1984) / Elementary algorithms for evaluating $e^x$ and $\pi$ using the Gauss AGM without explicit elliptic function theory / 553 \\ \\ 58. Wagon. Is Pi Normal? (1985) / A discussion of the conjecture that $\pi$ has randomly distributed digits / 557 \\ \\ 59. Keith. Circle Digits: A Self-Referential Story (1986) / A mnemonic for the first 402 decimal places of $\pi$ / 560 \\ \\ 60. Bailey. The Computation of $\pi$ to 29,360,000 Decimal Digits Using Borweins' Quartically Convergent Algorithm (1988) / The algorithms used, both for $\pi$ and for performing the required multiple-precision arithmetic / 562 \\ \\ 61. Kanada. Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of 1 Calculation (1988) / Details of the computation and statistical tests of the first 200 million digits of $\pi$ / 576 \\ \\ 62. Borwein and Borwein. Ramanujan and Pi (1988) / This article documents Ramanujan's life, his ingenious approach to calculating $\pi$, and how his approach is now incorporated into modern computer algorithms / 588 \\ \\ 63. Chudnovsky and Chudnovsky. Approximations and Complex Multiplication According to Ramanujan (1988) / This excerpt describes ``Ramanujan's original quadratic period--quasiperiod relations for elliptic curves with complex multiplication and their applications to representations of fractions of $\pi$ and other logarithms in terms of rapidly convergent nearly integral (hypergeometric) series.'' / 596 \\ \\ 64. Borwein, Borwein and Bailey. Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi (1989) / An exposition of the computation of $\pi$ using mathematics rooted in Ramanujan's work / 623 \\ \\ 65. Borwein, Borwein and Dilcher. Pi, Euler Numbers, and Asymptotic Expansions (1989) / An explanation as to why the slowly convergent Gregory series for $\pi$, truncated at 500,000 terms, gives $\pi$ to 40 places with only the 6th, 17th, 18th, and 29th places being incorrect / 642 \\ \\ 66. Beukers, B{\'e}zivin, and Robba. An Alternative Proof of the Lindemann--Weierstrass Theorem (1990) / The Lindemann--Weierstrass theorem as a by-product of a criterion for rationality of solutions of differential equations / 649 \\ \\ 67. Webster. The Tail of Pi (1991) / Various anecdotes about $\pi$ from the 14th annual IMO Lecture to the Royal Society / 654 \\ \\ 68. Eco. An excerpt from Foucault's Pendulum (1993) / ``The unnumbered perfection of the circle itself.'' / 658 \\ \\ 69. Keith. Pi Mnemonics and the Art of Constrained Writing (1996) / A mnemonic for $\pi$ based on Edgar Allen Poe's poem ``The Raven.'' / 659 \\ \\ 70. Bailey, Borwein, and Plouffe. On the Rapid Computation of Various Polylogarithmic Constants (1996) / A fast method for computing individual digits of $\pi$ in base 2 / 663 \\ Appendix I --- On the Early History of Pi / 677 \\ \\ Appendix II --- A Computational Chronology of Pi / 683 \\ \\ Appendix III --- Selected Formulae for Pi / 686 \\ \\ Appendix IV --- Translations of Vi{\`e}te and Huygens / 690 \\ Bibliography / 711 \\ \\ Credits / 717 \\ \\ Index / 721

entry:
@Book{Berggren:2000:PSB,
  editor =       "Lennart Berggren and Jonathan Borwein and Peter
                 Borwein",
  booktitle =    "Pi: a source book",
  title =        "Pi: a source book",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xx + 736",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4757-3240-5",
  ISBN =         "0-387-98946-3 (hardcover)",
  ISBN-13 =      "978-0-387-98946-4 (hardcover)",
  LCCN =         "QA484 .P5 2000",
  MRclass =      "11-00 (01A05 01A75 11-03)",
  MRnumber =     "1746004",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
                 https://www.math.utah.edu/pub/tex/bib/pi.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  libnote =      "Not yet in my library.",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject =      "Pi (mathematical constant)",
  tableofcontents = "Preface / v \\
                 \\
                 Preface to the Second Edition / viii \\
                 Acknowledgments / ix \\
                 \\
                 Introduction / xvii \\
                 \\
                 1. The Rhind Mathematical Papyrus-Problem 50 ($\approx$
                 1650 B.C.) / A problem dealing with the area of a round
                 field of given diameter / 1 \\
                 \\
                 2. Engels. Quadrature of the Circle in Ancient Egypt
                 (1977) / A conjectural explanation of how the
                 mathematicians of ancient Egypt approximated the area
                 of a circle / 3 \\
                 \\
                 3. Archimedes. Measurement of a Circle ($\approx$ 250
                 BC) / The seminal work in which Archimedes presents the
                 first true algorithm for $\pi$ / 7 \\
                 \\
                 4. Phillips. Archimedes the Numerical Analyst (1981) /
                 A summary of Archimedes' work on the computation of
                 $\pi$ using modern notation / 15 \\
                 \\
                 5. Lam and Ang. Circle Measurements in Ancient China
                 (1986) / This paper discusses and contains a
                 translation of Liu Hui's (3rd century) method for
                 evaluating $\pi$ and also examines values for $\pi$
                 given by Zu Chongzhi (429--500) / 20 \\
                 \\
                 6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane
                 and Solid Figures ($\approx$ 850) / This extract gives
                 an explicit statement and proof that the ratio of the
                 circumference to the diameter is constant / 36 \\
                 \\
                 7. M{\=a}dhava. The Power Series for Arctan and Pi
                 ($\approx$ 1400) / These theorems by a fifteenth
                 century Indian mathematician give Gregory's series for
                 arctan with remainder terms and Leibniz's series for
                 $\pi$ / 45 \\
                 \\
                 8. Hope-Jones. Ludolph (or Ludolff or Lucius) van
                 Ceulen (1938) / Correspondence about van Ceulen's
                 tombstone in reference to it containing some digits of
                 $\pi$ / 51 \\
                 \\
                 9. Vi{\'e}te. Variorum de Rebus Mathematicis Reponsorum
                 Liber VII (1593) / Two excerpts. One containing the
                 first infinite expression of $\pi$, obtained by
                 relating the area of a regular $2n$-gon to that of a
                 regular $n$-gon / 53 \\
                 \\
                 10. Wallis. Computation of $\pi$ by Successive
                 Interpolations (1655) / How Wallis derived the infinite
                 product for $\pi$ that bears his name / 68 \\
                 \\
                 11. Wallis. Arithmetica Infinitorum (1655) / An excerpt
                 including Prop. 189, 191 and an alternate form of the
                 result that gives Wm. Brounker's continued fraction
                 expression for $4/\pi$ / 78 \\
                 \\
                 12. Huygens. De Circuli Magnitudine Inventa (1724) /
                 Huygens's proof of W. Snell's discovery of improvements
                 in Archimedes' method of estimating the lengths of
                 circular arcs / 81 \\
                 \\
                 13. Gregory. Correspondence with John Collins (1671) /
                 A letter to Collins in which he gives his series for
                 arctangent, carried to the ninth power. / 87 \\
                 \\
                 14. Roy. The Discovery of the Series Formula for $\pi$
                 by Leibniz, Gregory, and Nilakantha (1990) / A
                 discussion of the discovery of the series $\pi/4 = 1 -
                 1/3 + 1/5, \cdots{}$ / 92 \\
                 \\
                 15. Jones. The First Use of $\pi$ for the Circle Ratio
                 (1706) / An excerpt from Jones' book, the Synopsis
                 Palmariorum Matheseos: or, a New Introduction to the
                 Mathematics, London, 1706 / 108 \\
                 \\
                 16. Newton. Of the Method of Fluxions and Infinite
                 Series (1737) / An excerpt giving Newton's calculation
                 of $\pi$ to 16 decimal places / 110 \\
                 \\
                 17. Euler. Chapter 10 of Introduction to Analysis of
                 the Infinite (On the Use of the Discovered Fractions to
                 Sum Infinite Series) (1748) / This includes many of
                 Euler's infinite series for $\pi$ and powers of $\pi$ /
                 112 \\
                 \\
                 18. Lambert. M{\'e}moire Sur Quelques
                 Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s
                 Transcendentes Circulaires et Logarithmiques (1761) /
                 An excerpt from Lambert's original proof of the
                 irrationality of $\pi$ / 129 \\
                 \\
                 19. Lambert. Irrationality of $\pi$ (1969) / A
                 translation and Struik's discussion of Lambert's proof
                 of the irrationality of $\pi$ / 141 \\
                 \\
                 20. Shanks. Contributions to Mathematics Comprising
                 Chiefly of the Rectification of the Circle to 607
                 Places of Decimals (1853) / Pages from Shank's report
                 of his monumental hand calculation of $\pi$ / 147 \\
                 \\
                 21. Hermite. Sur La Fonction Exponentielle (1873) / The
                 first proof of the transcendence of $e$ / 162 \\
                 \\
                 22. Lindemann. Ueber die Zahl $\pi$ (1882) / The first
                 proof of the transcendence of $\pi$ / 194 \\
                 \\
                 23. Weierstrass. Zu Lindemann's Abhandlung ``Uber die
                 Ludolphsche Zahl'' (1885) / Weierstrass' proof of the
                 transcendence of $\pi$ / 207 \\
                 \\
                 24. Hilbert. Ueber die Trancendenz der Zahlen $e$ und
                 $\pi$ (1893) / Hilbert's short and elegant
                 simplification of the transcendence proofs for $e$ and
                 $\pi$ / 226 \\
                 \\
                 25. Goodwin. Quadrature of the Circle (1894) / The
                 dubious origin of the attempted legislation of the
                 value of $\pi$ in Indiana / 230 \\
                 \\
                 26. Edington. House Bill No. 246, Indiana State
                 Legislature, 1897 (1935) / A summary of the action
                 taken by the Indiana State Legislature to fix the value
                 of $\pi$ (including a copy of the actual bill that was
                 proposed) / 231 \\
                 \\
                 27. Singmaster. The Legal Values of Pi (1985) / A
                 history of the attempt by Indiana to legislate the
                 value of $\pi$ / 236 \\
                 \\
                 28. Ramanujan. Squaring the Circle (1913) / A geometric
                 approximation to $\pi$ / 240 \\
                 \\
                 29. Ramanujan. Modular Equations and Approximations to
                 $\pi$ (1914) / Ramanujan's seminal paper on $\pi$ that
                 includes a number of striking series and algebraic
                 approximations / 241 \\
                 \\
                 30. Watson. The Marquis and the Land Agent: A Tale of
                 the Eighteenth Century (1933) / A Presidential address
                 to the Mathematical Association in which the author
                 gives an account of ``some of the elementary work on
                 arcs and ellipses and other curves which led up to the
                 idea of inverting an elliptic integral, and so laying
                 the foundations of elliptic functions and doubly
                 periodic functions generally.'' / 258 \\
                 \\
                 31. Ballantine. The Best (?) Formula for Computing
                 $\pi$ to a Thousand Places (1939) / An early attempt to
                 orchestrate the calculation of $\pi$ more cleverly /
                 271 \\
                 \\
                 32. Birch. An Algorithm for Construction of Arctangent
                 Relations (1946) / The object of this note is to
                 express $\pi / 4 $ as a sum of arctan relations in
                 powers of 10 / 274 \\
                 \\
                 33. Niven. A Simple Proof that $\pi$ Is Irrational
                 (1947) / A very concise proof of the irrationality of
                 $\pi$ / 276 \\
                 \\
                 34. Reitwiesner. An ENIAC Determination of $\pi$ and
                 $e$ to 2000 Decimal Places (1950) / One of the first
                 computer-based computations / 277 \\
                 \\
                 35. Schepler. The Chronology of Pi (1950) / A fairly
                 reliable outline of the history of $\pi$ from 3000 BC
                 to 1949 / 282 \\
                 \\
                 36. Mahler. On the Approximation of $\pi$ (1953) /
                 ``The aim of this paper is to determine an explicit
                 lower bound free of unknown constants for the distance
                 of $\pi$ from a given rational or algebraic number'' /
                 306 \\
                 \\
                 37. Wrench, Jr. The Evolution of Extended Decimal
                 Approximations to $\pi$ (1960) / A history of the
                 calculation of the digits of $\pi$ to 1960 \\
                 \\
                 38. Shanks and Wrench, Jr. Calculation of $\pi$ to
                 100,000 Decimals (1962) / A landmark computation of
                 $\pi$ to more than 100,000 places / 326 \\
                 \\
                 39. Sweeny. On the Computation of Euler's Constant
                 (1963) / The computation of Euler's constant to 3566
                 decimal places / 350 \\
                 \\
                 40. Baker. Approximations to the Logarithms of Certain
                 Rational Numbers (1964) / The main purpose of this deep
                 and fundamental paper is to ``deduce results concerning
                 the accuracy with which the natural logarithms of
                 certain rational numbers may be approximated by
                 rational numbers, or, more generally, by algebraic
                 numbers of bounded degree.'' / 359 \\
                 \\
                 41. Adams. Asymptotic Diophantine Approximations to $E$
                 (1966) / An asymptotic estimate for the rational
                 approximation to $e$ which disproves the conjecture
                 that $e$ behaves like almost all numbers in this
                 respect / 368 \\
                 \\
                 42. Mahler. Applications of Some Formulae by Hermite to
                 the Approximations of Exponentials of Logarithms (1967)
                 / An important extension of Hilbert's approach to the
                 study of transcendence / 372 \\
                 \\
                 43. Eves. In Mathematical Circles; A Selection of
                 Mathematical Stories and Anecdotes (excerpt) (1969) / A
                 collection of mathematical stories and anecdotes about
                 $\pi$ / 400 \\
                 \\
                 44. Eves. Mathematical Circles Revisited; A Second
                 Collection of Mathematical Stories and Anecdotes
                 (excerpt) (1971) / A further collection of mathematical
                 stories and anecdotes about $\pi$ / 402 \\
                 \\
                 45. Todd. The Lemniscate Constants (1975) / A unifying
                 account of some of the methods used for computing the
                 lemniscate constants / 412 \\
                 \\
                 46. Salamin. Computation of r Using
                 Arithmetic-Geometric Mean (1976) / The first
                 quadratically converging algorithm for $\pi$ based on
                 Gauss's AGM and on Legendre's relation for elliptic
                 integrals / 418 \\
                 \\
                 47. Brent. Fast Multiple-Precision Evaluation of
                 Elementary Functions (1976) / ``This paper contains the
                 `Gauss-Legendre' method and some different algorithms
                 for log and exp (using Landen transformations).'' / 424
                 \\
                 \\
                 48. Beukers. A Note on the Irrationality of $\zeta(2)$
                 and $\zetq(3)$ (1979) / A short and elegant recasting
                 of Ap{\'e}ry's proof of the irrationality of $\zeta(3)$
                 (and $\zeta(2)$) / 434 \\
                 \\
                 49. van der Poorten. A Proof that Euler Missed \ldots{}
                 Ap{\'e}ry's Proof of the Irrationality of $\zeta(3)$
                 (1979) / An illuminating account of Ap{\'e}ry's
                 astonishing proof of the irrationality of $\zeta(3)$ /
                 439 \\
                 \\
                 50. Brent and McMillan. Some New Algorithms for
                 High-Precision Computation of Euler's Constant (1980) /
                 Several new algorithms for high precision calculation
                 of Euler's constant, including one which was used to
                 compute 30,100 decimal places / 448 \\
                 \\
                 51. Apostol. A Proof that Euler Missed: Evaluating
                 $\zeta(2)$ the Easy Way (1983) / This note shows that
                 one of the double integrals considered by Beukers ([48]
                 in the table of contents) can be used to establish
                 directly that $\zeta(2) = \pi / 6$ / 456 \\
                 \\
                 52. O'Shaughnessy. Putting God Back in Math (1983) / An
                 article about the Institute of Pi Research, an
                 organization that ``pokes fun at creationists by
                 pointing out that even the Bible makes mistakes.'' /
                 458 \\
                 \\
                 53. Stern. A Remarkable Approximation to $\pi$ (1985) /
                 Justification of the value of $\pi$ in the Bible
                 through numerological interpretations / 460 \\
                 \\
                 54. Newman and Shanks. On a Sequence Arising in Series
                 for $\pi$ (1984) / More connections between $\pi$ and
                 modular equations / 462 \\
                 \\
                 55. Cox. The Arithmetic-Geometric Mean of Gauss (1984)
                 / An extensive study of the complex analytic properties
                 of the AGM / 481 \\
                 \\
                 56. Borwein and Borwein. The Arithmetic-Geometric Mean
                 and Fast Computation of Elementary Functions (1984) /
                 The relationship between the AGM iteration and fast
                 computation of elementary functions (one of the
                 by-products is an algorithm for $\pi$) / 537 \\
                 \\
                 57. Newman. A Simplified Version of the Fast Algorithms
                 of Brent and Salamin (1984) / Elementary algorithms for
                 evaluating $e^x$ and $\pi$ using the Gauss AGM without
                 explicit elliptic function theory / 553 \\
                 \\
                 58. Wagon. Is Pi Normal? (1985) / A discussion of the
                 conjecture that $\pi$ has randomly distributed digits /
                 557 \\
                 \\
                 59. Keith. Circle Digits: A Self-Referential Story
                 (1986) / A mnemonic for the first 402 decimal places of
                 $\pi$ / 560 \\
                 \\
                 60. Bailey. The Computation of $\pi$ to 29,360,000
                 Decimal Digits Using Borweins' Quartically Convergent
                 Algorithm (1988) / The algorithms used, both for $\pi$
                 and for performing the required multiple-precision
                 arithmetic / 562 \\
                 \\
                 61. Kanada. Vectorization of Multiple-Precision
                 Arithmetic Program and 201,326,000 Decimal Digits of 1
                 Calculation (1988) / Details of the computation and
                 statistical tests of the first 200 million digits of
                 $\pi$ / 576 \\
                 \\
                 62. Borwein and Borwein. Ramanujan and Pi (1988) / This
                 article documents Ramanujan's life, his ingenious
                 approach to calculating $\pi$, and how his approach is
                 now incorporated into modern computer algorithms / 588
                 \\
                 \\
                 63. Chudnovsky and Chudnovsky. Approximations and
                 Complex Multiplication According to Ramanujan (1988) /
                 This excerpt describes ``Ramanujan's original quadratic
                 period--quasiperiod relations for elliptic curves with
                 complex multiplication and their applications to
                 representations of fractions of $\pi$ and other
                 logarithms in terms of rapidly convergent nearly
                 integral (hypergeometric) series.'' / 596 \\
                 \\
                 64. Borwein, Borwein and Bailey. Ramanujan, Modular
                 Equations, and Approximations to Pi or How to Compute
                 One Billion Digits of Pi (1989) / An exposition of the
                 computation of $\pi$ using mathematics rooted in
                 Ramanujan's work / 623 \\
                 \\
                 65. Borwein, Borwein and Dilcher. Pi, Euler Numbers,
                 and Asymptotic Expansions (1989) / An explanation as to
                 why the slowly convergent Gregory series for $\pi$,
                 truncated at 500,000 terms, gives $\pi$ to 40 places
                 with only the 6th, 17th, 18th, and 29th places being
                 incorrect / 642 \\
                 \\
                 66. Beukers, B{\'e}zivin, and Robba. An Alternative
                 Proof of the Lindemann--Weierstrass Theorem (1990) /
                 The Lindemann--Weierstrass theorem as a by-product of a
                 criterion for rationality of solutions of differential
                 equations / 649 \\
                 \\
                 67. Webster. The Tail of Pi (1991) / Various anecdotes
                 about $\pi$ from the 14th annual IMO Lecture to the
                 Royal Society / 654 \\
                 \\
                 68. Eco. An excerpt from Foucault's Pendulum (1993) /
                 ``The unnumbered perfection of the circle itself.'' /
                 658 \\
                 \\
                 69. Keith. Pi Mnemonics and the Art of Constrained
                 Writing (1996) / A mnemonic for $\pi$ based on Edgar
                 Allen Poe's poem ``The Raven.'' / 659 \\
                 \\
                 70. Bailey, Borwein, and Plouffe. On the Rapid
                 Computation of Various Polylogarithmic Constants (1996)
                 / A fast method for computing individual digits of
                 $\pi$ in base 2 / 663 \\
                 Appendix I --- On the Early History of Pi / 677 \\
                 \\
                 Appendix II --- A Computational Chronology of Pi / 683
                 \\
                 \\
                 Appendix III --- Selected Formulae for Pi / 686 \\
                 \\
                 Appendix IV --- Translations of Vi{\`e}te and Huygens /
                 690 \\
                 Bibliography / 711 \\
                 \\
                 Credits / 717 \\
                 \\
                 Index / 721",
}


bibtype: proceedings
filename: elefunt.bib
label: Cocolicchio:2000:ASF
editor: Decio Cocolicchio and G. Dattoli and H. M. Srivastava
volume: 1
publisher: Aracne
address: Roma, Italy
edition: 1.
pages: 336
year: 2000
ISBN: 88-7999-265-X OR 887999265X
ISBN13: 978-88-7999-265-7 OR 9788879992657
LCCN: QA351 .A38 2000
bibdate: Sat Oct 30 19:16:34 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2010.10.30 19:16:34 MDT
series: Proceedings of the Melfi school on advanced topics in mathematics and physics
subject: Functions, Special; Congresses
acknowledgement: ack-nhfb
raweditor: Decio Cocolicchio and G. Dattoli and H. M. Srivastava
booktitle:
Advanced special functions and applications: proceedings of the workshop: Melfi (PZ), Italy, 9--12 May 1999

title:
Advanced special functions and applications: proceedings of the workshop: Melfi (PZ), Italy, 9--12 May 1999

rawbooktitle:
{Advanced special functions and applications: proceedings of the workshop: Melfi (PZ), Italy, 9--12 May 1999}

rawtitle:
{Advanced special functions and applications: proceedings of the workshop: Melfi (PZ), Italy, 9--12 May 1999}

entry:
@Proceedings{Cocolicchio:2000:ASF,
  editor =       "Decio Cocolicchio and G. Dattoli and H. M.
                 Srivastava",
  booktitle =    "{Advanced special functions and applications:
                 proceedings of the workshop: Melfi (PZ), Italy, 9--12
                 May 1999}",
  title =        "{Advanced special functions and applications:
                 proceedings of the workshop: Melfi (PZ), Italy, 9--12
                 May 1999}",
  volume =       "1",
  publisher =    "Aracne",
  address =      "Roma, Italy",
  edition =      "1.",
  pages =        "336",
  year =         "2000",
  ISBN =         "88-7999-265-X",
  ISBN-13 =      "978-88-7999-265-7",
  LCCN =         "QA351 .A38 2000",
  bibdate =      "Sat Oct 30 19:16:34 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Proceedings of the Melfi school on advanced topics in
                 mathematics and physics",
  acknowledgement = ack-nhfb,
  subject =      "Functions, Special; Congresses",
}


bibtype: proceedings
filename: elefunt.bib
label: Dunkl:2000:PIW
editor: Charles Dunkl and Mourad Ismail and Roderick Wong
booktitle: Proceedings of the international workshop, special functions: Hong Kong, 21--25 June 1999
title: Proceedings of the international workshop, special functions: Hong Kong, 21--25 June 1999
publisher: pub-WORLD-SCI
address: pub-WORLD-SCI:adr
pages: xi + 438
year: 2000
ISBN: 981-02-4393-6 OR 9810243936
ISBN13: 978-981-02-4393-7 OR 9789810243937
LCCN: QA351 .P76 2000
bibdate: Fri Jul 09 06:30:25 2004
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2004.07.09 06:30:25 ???
acknowledgement: ack-nhfb
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rawtitle: {Proceedings of the international workshop, special functions: Hong Kong, 21--25 June 1999}
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  title =        "{Proceedings of the international workshop, special
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  acknowledgement = ack-nhfb,
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bibtype: proceedings
filename: elefunt.bib
label: Sprague:2000:PAH
editor: Ralph H. Sprague
publisher: pub-IEEE
address: pub-IEEE:adr
pages: liv + 259
year: 2000
ISBN: 0-7695-0493-0, 0-7695-0494-9, 0-7695-0495-7 OR 0769504930, 0769504949, 0769504957
LCCN: TA168 .H37 2000; TA168 .H37 2000xeb; TA168
bibdate: Sun Mar 4 21:23:42 MST 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; melvyl.cdlib.org:210/CDL90
bibtimestamp: 2007.03.04 21:23:42 MST
remark: IEEE Computer Society Order Number: PR00493
subject: Systems engineering; Congresses; Information theory; Electronic data processing; System design
acknowledgement: ack-nhfb
raweditor: Ralph H. Sprague
booktitle:
Proceedings of the 33rd Annual Hawaii International Conference on System Sciences: abstracts and CD-ROM of full papers: January 4--7, 2000, Maui, Hawaii

title:
Proceedings of the 33rd Annual Hawaii International Conference on System Sciences: abstracts and CD-ROM of full papers: January 4--7, 2000, Maui, Hawaii

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  booktitle =    "{Proceedings of the 33rd Annual Hawaii International
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  title =        "{Proceedings of the 33rd Annual Hawaii International
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  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
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  acknowledgement = ack-nhfb,
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  remark =       "IEEE Computer Society Order Number: PR00493",
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bibtype: proceedings
filename: elefunt.bib
label: Banerji:2001:SFS
editor: P. K. Banerji
address: Jodhpur, India
pages: 258
year: 2001
ISBN: 81-7233-267-X OR 817233267X
ISBN13: 978-81-7233-267-9 OR 9788172332679
LCCN: QA351 .S665 2001
bibdate: Sat Oct 30 19:13:10 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2010.10.30 19:13:10 MDT
subject: Functions, Special; Congresses
acknowledgement: ack-nhfb
raweditor: P. K. Banerji
booktitle:
Special functions: selected articles: proceedings of the First National Conference of the Society for Special Functions and their Applications, March 3--4, 2000, Jodhpur, India

title:
Special functions: selected articles: proceedings of the First National Conference of the Society for Special Functions and their Applications, March 3--4, 2000, Jodhpur, India

publisher:
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  title =        "{Special functions: selected articles: proceedings of
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  publisher =    "Published by Scientific Publishers (India) for the
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}


bibtype: proceedings
filename: elefunt.bib
label: Burgess:2001:ISC
editor: N. Burgess and L. Ciminiera
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xii + 285
year: 2001
ISBN: 0-7695-1150-3; 0-7695-1152-X OR 0769511503; 076951152X
ISBN13: 978-0-7695-1150-4; 978-0-7695-1152-8 OR 9780769511504; 9780769511528
ISSN: 1063-6889 OR 10636889
LCCN: QA76.9.C62 S95 2001
bibdate: Fri May 03 14:20:49 2002
bibtimestamp: 2002.05.03 14:20:49 ???
note: IEEE order no. PR01150.
keywords: ARITH-15
acknowledgement: ack-nhfb
raweditor: N. Burgess and L. Ciminiera
rawnote: IEEE order no. PR01150.
booktitle:
15th IEEE Symposium on Computer Arithmetic: ARITH-15 2001: proceedings: Vail, Colorado, 11--13 June, 2001

title:
15th IEEE Symposium on Computer Arithmetic: ARITH-15 2001: proceedings: Vail, Colorado, 11--13 June, 2001

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  booktitle =    "{15th IEEE Symposium on Computer Arithmetic: ARITH-15
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  note =         "IEEE order no. PR01150.",
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  xxtitle =      "Computer Arithmetic: Papers presented at the {15th
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}


bibtype: book
filename: elefunt.bib
label: Lide:2001:CEM
editor: David R. Lide
booktitle: A Century of Excellence in Measurements, Standards, and Technology
title: A Century of Excellence in Measurements, Standards, and Technology
volume: 958
publisher: pub-NIST
address: pub-NIST:adr
pages: ix + 386
year: 2001
bibdate: Fri Jul 09 06:29:11 2004
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2004.07.09 06:29:11 ???
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acknowledgement: ack-nhfb
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  publisher =    pub-NIST,
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bibtype: proceedings
filename: elefunt.bib
label: Siafarikas:2001:PFI
editor: Panayiotis D. Siafarikas and Theodore Seio Chihara
volume: 133(1/2)
publisher: pub-ELSEVIER
address: pub-ELSEVIER:adr
pages: xxvii + 705
year: 2001
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
LCCN: QA76 J86 v. 133, no. 1/2
bibdate: Sat Oct 30 19:08:06 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2010.10.30 19:08:06 ???
series: Journal of computational and applied mathematics
acknowledgement: ack-nhfb
raweditor: Panayiotis D. Siafarikas and Theodore Seio Chihara
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Proceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications: Patras, Greece, 20--24 September 1999

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Proceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications: Patras, Greece, 20--24 September 1999

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  title =        "{Proceedings of the Fifth International Symposium on
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bibtype: proceedings
filename: elefunt.bib
label: Borrione:2002:TIW
editor: Dominique Borrione
year: 2002
bibdate: Sat Jun 25 12:28:18 2005
bibtimestamp: 2005.06.25 12:28:18 ???
URL: http://www.cs.utexas.edu/users/moore/acl2/workshop-2002/
acknowledgement: ack-nhfb
raweditor: Dominique Borrione
booktitle:
Third International Workshop on the ACL2 Theorem Prover and its Applications (ACL2-2002), April 8--9, 2002, in Grenoble, France. Presentations, affiliated with ETAPS 2002

title:
Third International Workshop on the ACL2 Theorem Prover and its Applications (ACL2-2002), April 8--9, 2002, in Grenoble, France. Presentations, affiliated with ETAPS 2002

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bibtype: book
filename: elefunt.bib
label: Lide:2002:CEM
editor: David R. Lide
booktitle: A Century of Excellence in Measurements, Standards, and Technology
title: A Century of Excellence in Measurements, Standards, and Technology
publisher: pub-CRC
address: pub-CRC:adr
pages: ix + 386
year: 2002
ISBN: 0-8493-1247-7 OR 0849312477
ISBN13: 978-0-8493-1247-2 OR 9780849312472
LCCN: QC100.U6 .C46 2002
bibdate: Fri Jul 09 06:29:11 2004
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2004.07.09 06:29:11 ???
note: Republication of cite Lide:2001:CEM.
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acknowledgement: ack-nhfb
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bibtype: proceedings
filename: elefunt.bib
label: Anonymous:2003:CRN
editor: Anonymous
booktitle: 5th Conference on Real Numbers and Computers 2003 --- RNC5, Lyon, France, September 2003
title: 5th Conference on Real Numbers and Computers 2003 --- RNC5, Lyon, France, September 2003
year: 2003
bibdate: Sat Jun 25 14:57:33 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.06.25 14:57:33 ???
acknowledgement: ack-nhfb
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bibtype: proceedings
filename: elefunt.bib
label: Koelink:2003:OPS
editor: Erik Koelink and Walter Van Assche
booktitle: Orthogonal polynomials and special functions: Leuven 2002
title: Orthogonal polynomials and special functions: Leuven 2002
volume: 1817
publisher: pub-SV
address: pub-SV:adr
pages: x + 249
year: 2003
ISBN: 3-540-40375-2 OR 3540403752
ISBN13: 978-3-540-40375-3 OR 9783540403753
ISSN: 0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)
LCCN: 33 33-06 33C 68W
bibdate: Sat Oct 30 17:00:03 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.bibsys.no:2100/BIBSYS
bibtimestamp: 2010.10.30 17:00:03 MDT
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bibtype: book
filename: elefunt.bib
label: Berggren:2004:PSB
editor: Lennart Berggren and Jonathan Borwein and Peter Borwein
booktitle: Pi: a source book
title: Pi: a source book
publisher: pub-SV
address: pub-SV:adr
edition: Third
pages: xx + 797
year: 2004
DOI: https://doi.org/10.1007/978-1-4757-4217-6
ISBN: 0-387-20571-3 OR 0387205713
ISBN13: 978-0-387-20571-7 OR 9780387205717
MRclass: 11-00 (01A05 01A75 11-03)
MRnumber: 2065455
MRreviewer: F. Beukers
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
remark: CECM Preprint 2003:210.
acknowledgement: ack-nhfb
authordates: Jonathan Michael Borwein (20 May 1951--2 August 2016)
rawbooktitle: Pi: a source book
raweditor: Lennart Berggren and Jonathan Borwein and Peter Borwein
rawtitle: Pi: a source book
ORCID: Borwein, Jonathan/0000-0002-1263-0646
TOC:
Preface to the Third Edition / v Preface to the Second Edition / vi Preface / vii Acknowledgments / x Introduction / xvii 1. The Rhind Mathematical Papyrus --- Problem 50 ($approx $1650 B.C.) / A problem dealing with the area of a round field of given diameter / 1 2. Engels / Quadrature of the Circle in Ancient Egypt (1977) / A conjectural explanation of how the mathematicians of ancient Egypt approximated the area of a circle / 3 3. Archimedes / Measurement of a Circle --- (-250 B.C.) / The seminal work in which Archimedes presents the first true algorithm for $ pi $ / 7 4. Phillips / Archimedes the Numerical --- Analyst (1981) / A summary of Archimedes' work on the computation of $ pi $ using modem notation / 15 5. Lam and Ang / Circle Measurements in Ancient China (1986) / This paper discusses and contains a translation of Liu Hui's (3rd century) method for evaluating $ pi $ and also examines values for $ pi $ given by Zu Chongzhi (429--500) / 20 6. The Banu Musa: The Measurement of Plane and Solid Figures (--850) / This extract gives an explicit statement and proof that the ratio of the circumference to the diameter is constant / 36 7. Madhava / The Power Series for Arctan and Pi (-1400) / These theorems by a fifteenth century Indian mathematician give Gregory's series for arctan with remainder terms and Leibniz's series for $ pi $ / 45 8. Hope-Jones / Ludolph (or Ludolff or Lucius) van Ceulen (1938) / Correspondence about van Ceulen's tombstone in reference to it containing some digits of $ pi $ / 51 9. Viete / booktitle Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) / Two excerpts. One containing the first infinite expression of $ pi $, obtained by relating the area of a regular $2n$-gon to that of a regular $n$-gon / 53 10. Wallis. Computation of $ pi $ by Successive Interpolations (1655) / How Wallis derived the infinite product for $ pi $ that bears his name / 68 11. Wallis / booktitle Arithmetica Infinitorum (1655) / An excerpt including Prop. 189, 191 and an alternate form of the result that gives Wm. Brounker's continued fraction expression for $ 4 / pi $ / ?? 12. Huygens / booktitle De Circuli Magnitudine Inventa (1654) / Huygens's demonstration of how to triple the number of correct decimals over those in Archimedes' estimate of $ pi $ / 81 13. Gregory / Correspondence with John Collins (1671) / A letter to Collins in which he gives his series for arctangent, carried to the ninth power / 87 14. Roy / The Discovery of the Series Formula for $ pi $ by Leibniz, Gregory, and Nilakantha (1990) / A discussion of the discovery of the series $ pi / 4 = 1 - 1/3 + 1/5 - cdots $ / 92 15. Jones / The First Use of $ pi $ for the Circle Ratio (1706) / An excerpt from Jones' book, the booktitle Synopsis Palmariorum Matheseos: or, a New Introduction to the Mathematics, London, 1706 / 108 16. Newton / Of the Method of Fluxions and Infinite Series (1737) / An excerpt giving Newton's calculation of $ pi $ to 16 decimal places / 110 17. Euler / Chapter 10 of booktitle Introduction to Analysis of the Infinite (On the Use of the Discovered Fractions to Sum Infinite Series) (1748) / This includes many of Euler's infinite series for $ pi $ and powers of $ pi $ / 112 18. Lambert / booktitle Memoire Sur Quelques Proprietes Remarquables Des Quantites Transcendentes Circulaires et Logarithmiques (1761) / An excerpt from Lambert's original proof of the irrationality of $ pi $ / 129 19. Lambert / Irrationality of $ pi $ (1969) / A translation and Struik's discussion of Lambert's proof of the irrationality of $ pi $ / 141 20. Shanks / Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals (1853) / Pages from Shanks's report of his monumental hand calculation of $ pi $ / 147 21. Hermite / booktitle Sur La Fonction Exponentielle (1873) / The first proof of the transcendence of $ e $ / 162 22. Lindemann / booktitle Ueber die Zahl $ pi $ (1882) / The first proof of the transcendence of $ pi $ / 194 23. Weierstrass / booktitle Zu Lindemann's Abhandlung ``Uber die Ludolphsche Zahl'' (1885) / Weierstrass' proof of the transcendence of $ pi $ / 207 24. Hilbert / booktitle Ueber die Transzendenz der Zahlen $ e $ und $ pi $ (1893) / Hilbert's short and elegant simplification of the transcendence proofs for $ e $ and $ pi $ / 226 25. Goodwin / Quadrature of the Circle (1894) / The dubious origin of the attempted legislation of the value of $ pi $ in Indiana / 230 26. Edington / House Bill No. 246, Indiana State Legislature, 1897 (1935) / A summary of the action taken by the Indiana State Legislature to fix the value of $ pi $ (including a copy of the actual bill that was proposed) / 231 27. Singmaster / The Legal Values of Pi (1985) / A history of the attempt by Indiana to legislate the value of $ pi $ / 236 28. Ramanujan / Squaring the Circle (1913) / A geometric approximation to $ pi $ / 240 29. Ramanujan / Modular Equations and Approximations to $ pi $ (1914) / Ramanujan's seminal paper on pi that includes a number of striking series and algebraic approximations / 241 30. Watson / The Marquis and the Land Agent: A Tale of the Eighteenth Century (1933) / A Presidential address to the Mathematical Association in which the author gives an account of ``some of the elementary work on arcs and ellipses and other curves which led up to the idea of inverting an elliptic integral, and so laying the foundations of elliptic functions and doubly periodic functions generally.'' / ?? 31. Ballantine / The Best (?) Formula for Computing $ pi $ to a Thousand Places (1939) / An early attempt to orchestrate the calculation of $ pi $ more cleverly / 271 32. Birch / An Algorithm for Construction of Arctangent Relations (1946) / The object of this note is to express $ pi / 4$ as a sum of arctan relations in powers of 10 / 274 33. Niven / A Simple Proof that $ pi $ is Irrational (1947) / A very concise proof of the irrationality of $ pi $ / 276 34. Reitwiesner / An ENIAC Determination of $ pi $ and $ e $ to 2000 Decimal Places (1950) / One of the first computer-based computations / 277 35. Schepler / The Chronology of Pi (1950) / A fairly reliable outline of the history of $ pi $ from 3000 B.C. to 1949 / 282 36. Mahler / On the Approximation of $ pi $ (1953) / ``The aim of this paper is to determine an explicit lower bound free of unknown constants for the distance of $ pi $ from a given rational or algebraic number.'' / 306 37. Wrench, Jr. / The Evolution of Extended Decimal Approximations to $ pi $ (1960) / A history of the calculation of the digits of $ pi $ to 1960 / 319 38. Shanks and Wrench, Jr. / Calculation of $ pi $ to 100,000 Decimals (1962) / A landmark computation of $ pi $ to more than 100,000 places / 326 39. Sweeny / On the Computation of Euler's Constant (1963) / The computation of Euler's constant to 3566 decimal places / 350 40. Baker / Approximations to the Logarithms of Certain Rational Numbers (1964) / The main purpose of this deep and fundamental paper is to ``deduce results concerning the accuracy with which the natural logarithms of certain rational numbers may be approximated by rational numbers, or, more generally, by algebraic numbers of bounded degree.'' / 359 41. Adams / Asymptotic Diophantine Approximations to e (1966) / An asymptotic estimate for the rational approximation to $ e $ which disproves the conjecture that $ e $ behaves like almost all numbers in this respect / 368 42. Mahler / Applications of Some Formulae by Hermite to the Approximations of Exponentials of Logarithms (1967) / An important extension of Hilbert's approach to the study of transcendence / 372 43. Eves / In Mathematical Circles; A Selection of Mathematical Stories and Anecdotes (excerpt) (1969) / A collection of mathematical stories and anecdotes about $ pi $ / 456 44. Eves / Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (1971) / A further collection of mathematical stories and anecdotes about $ pi $ / 402 45. Todd / The Lemniscate Constants (1975) / A unifying account of some of the methods used for computing the lemniscate constants / 412 46. Salamin / Computation of $ pi $ Using Arithmetic--Geometric Mean (1976) / The first quadratically converging algorithm for $ pi $ based on Gauss's AGM and on Legendre's relation for elliptic integrals / 418 47. Brent / Fast Multiple-Precision Evaluation of Elementary Functions (1976) / ``This paper contains the `Gauss--Legendre' method and some different algorithms for $log $ and $exp $ (using Landen transformations).'' / 424 48. Beukers / A Note on the Irrationality of $ zeta (2) $ and $ zeta (3) $ (1979) / A short and elegant recasting of Apery's proof of the irrationality of $zeta (3)$ (and $zeta (2)$) / 434 49. van der Poorten / A Proof that Euler Missed ldots Apery's Proof of the Irrationality of $zeta (3)$ (1979) / An illuminating account of Apery's astonishing proof of the irrationality of $zeta (3)$ / 439 50. Brent and McMillan / Some New Algorithms for High-Precision Computation of Euler's Constant (1980) / Several new algorithms for high-precision calculation of Euler's constant, including one which was used to compute 30,100 decimal places / 448 51. Apostol / A Proof that Euler Missed: Evaluating $zeta (2)$ the Easy Way (1983) / This note shows that one of the double integrals considered by Beukers ([48] in the table of contents) can be used to establish directly that $zeta (2) = pi ^2 / 6$ / 456 52. O'Shaughnessy / Putting God Back in Math (1983) / An article about the Institute of Pi Research, an organization that ``pokes fun at creationists by pointing out that even the Bible makes mistakes.'' / 458 53. Stern / A Remarkable Approximation to $ pi $ (1985) / Justification of the value of $ pi $ in the Bible through numerological interpretations / 460 54. Newman and Shanks / On a Sequence Arising in Series for $ pi $ (1984) / More connections between $ pi $ and modular equations / 462 55. Cox / The Arithmetic--Geometric Mean of Gauss (1984) / An extensive study of the complex analytic properties of the AGM / 481 56. Borwein and Borwein / The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions (1984) / The relationship between the AGM iteration and fast computation of elementary functions (one of the by-products is an algorithm for $ pi $) / 537 57. Newman / A Simplified Version of the Fast Algorithms of Brent and Salamin (1984) / Elementary algorithms for evaluating $ e^x $ and $ pi $ using the Gauss AGM without explicit elliptic function theory / 553 58. Wagon / Is Pi Normal? (1985) / A discussion of the conjecture that $ pi $ has randomly distributed digits / 557 59. Keith / Circle Digits: A Self-Referential Story (1986) / A mnemonic for the first 402 decimal places of $ pi $ / 560 60. Bailey / The Computation of $ pi $ to 29,360,000 Decimal Digits Using Borwein's Quartically Convergent Algorithm (1988) / The algorithms used, both for $ pi $ and for performing the required multiple-precision arithmetic / 562 61. Kanada / Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of $ pi $ Calculation (1988) / Details of the computation and statistical tests of the first 200 million digits of $ pi $ / 576 62. Borwein and Borwein / Ramanujan and Pi (1988) / This article documents Ramanujan's life, his ingenious approach to calculating $ pi $, and how his approach is now incorporated into modern computer algorithms / 588 63. Chudnovsky and Chudnovsky / Approximations and Complex Multiplication According to Ramanujan (1988) / This excerpt describes ``Ramanujan's original quadratic period--quasiperiod relations for elliptic curves with complex multiplication and their applications to representations of fractions of $ pi $ and other logarithms in terms of rapidly convergent nearly integral (hypergeometric) series.'' / 596 64. Borwein, Borwein and Bailey / Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi (1989) / An exposition of the computation of $ pi $ using mathematics rooted in Ramanujan's work / 623 65. Borwein, Borwein and Dilcher / Pi, Euler Numbers, and Asymptotic Expansions (1989) / An explanation as to why the slowly convergent Gregory series for $ pi $, truncated at 500,000 terms, gives $ pi $ to 40 places with only the 6th, 17th, 18th, and 29th places being incorrect / 642 66. Beukers, Bezivin, and Robba / An Alternative Proof of the Lindemann--Weierstrass Theorem (1990) / The Lindemann--Weierstrass theorem as a by-product of a criterion for rationality of solutions of differential equations / 649 67. Webster / The Tale of Pi (1991) / Various anecdotes about $ pi $ from the 14th annual IMO Lecture to the Royal Society / 654 68. Eco / An excerpt from Foucault's Pendulum (1993) / ``The unnumbered perfection of the circle itself.'' / 658 69. Keith / Pi Mnemonics and the Art of Constrained Writing (1996) / A mnemonic for $ pi $ based on Edgar Allen Poe's poem ``The Raven.'' / 659 70. Bailey, Borwein, and Plouffe / On the Rapid Computation of Various Polylogarithmic Constants (1997) / A fast method for computing individual digits of $ pi $ in base 2 / 663 Appendix I --- On the Early History of Pi / 677 Appendix II --- A Computational Chronology of Pi / 683 Appendix III --- Selected Formulae for Pi / 686 Appendix IV --- Translations of Viele and Huygens / 690 Bibliography / 710 Credits / 717 A Pamphlet on Pi / 721 Contents / 723 1. Pi and Its Friends / 725 2. Normality of Numbers / 741 3. Historia Cyclometrica / 753 4. Demotica Cyclometrica / 771 References / 779 Index / 783

rawTOC:
Preface to the Third Edition / v \\ Preface to the Second Edition / vi \\ Preface / vii \\ Acknowledgments / x \\ Introduction / xvii \\ 1. The Rhind Mathematical Papyrus --- Problem 50 ($\approx$1650 B.C.) / A problem dealing with the area of a round field of given diameter / 1 \\ 2. Engels / Quadrature of the Circle in Ancient Egypt (1977) / A conjectural explanation of how the mathematicians of ancient Egypt approximated the area of a circle / 3 \\ 3. Archimedes / Measurement of a Circle --- (-250 B.C.) / The seminal work in which Archimedes presents the first true algorithm for $ \pi $ / 7 \\ 4. Phillips / Archimedes the Numerical --- Analyst (1981) / A summary of Archimedes' work on the computation of $ \pi $ using modem notation / 15 \\ 5. Lam and Ang / Circle Measurements in Ancient China (1986) / This paper discusses and contains a translation of Liu Hui's (3rd century) method for evaluating $ \pi $ and also examines values for $ \pi $ given by Zu Chongzhi (429--500) / 20 \\ 6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane and Solid Figures (--850) / This extract gives an explicit statement and proof that the ratio of the circumference to the diameter is constant / 36 \\ 7. M{\=a}dhava / The Power Series for Arctan and Pi (-1400) / These theorems by a fifteenth century Indian mathematician give Gregory's series for arctan with remainder terms and Leibniz's series for $ \pi $ / 45 \\ 8. Hope-Jones / Ludolph (or Ludolff or Lucius) van Ceulen (1938) / Correspondence about van Ceulen's tombstone in reference to it containing some digits of $ \pi $ / 51 \\ 9. Vi{\`e}te / \booktitle{Variorum de Rebus Mathematicis Reponsorum Liber VII} (1593) / Two excerpts. One containing the first infinite expression of $ \pi $, obtained by relating the area of a regular $2n$-gon to that of a regular $n$-gon / 53 \\ 10. Wallis. Computation of $ \pi $ by Successive Interpolations (1655) / How Wallis derived the infinite product for $ \pi $ that bears his name / 68 \\ 11. Wallis / \booktitle{Arithmetica Infinitorum} (1655) / An excerpt including Prop. 189, 191 and an alternate form of the result that gives Wm. Brounker's continued fraction expression for $ 4 / \pi$ / ?? \\ 12. Huygens / \booktitle{De Circuli Magnitudine Inventa} (1654) / Huygens's demonstration of how to triple the number of correct decimals over those in Archimedes' estimate of $ \pi $ / 81 13. Gregory / Correspondence with John Collins (1671) / A letter to Collins in which he gives his series for arctangent, carried to the ninth power / 87 \\ 14. Roy / The Discovery of the Series Formula for $ \pi $ by Leibniz, Gregory, and Nilakantha (1990) / A discussion of the discovery of the series $ \pi / 4 = 1 - 1/3 + 1/5 - \cdots{} $ / 92 \\ 15. Jones / The First Use of $ \pi $ for the Circle Ratio (1706) / An excerpt from Jones' book, the \booktitle{Synopsis Palmariorum Matheseos: or, a New Introduction to the Mathematics}, London, 1706 / 108 \\ 16. Newton / Of the Method of Fluxions and Infinite Series (1737) / An excerpt giving Newton's calculation of $ \pi $ to 16 decimal places / 110 \\ 17. Euler / Chapter 10 of \booktitle{Introduction to Analysis of the Infinite (On the Use of the Discovered Fractions to Sum Infinite Series)} (1748) / This includes many of Euler's infinite series for $ \pi $ and powers of $ \pi $ / 112 \\ 18. Lambert / \booktitle{M{\'e}moire Sur Quelques Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s Transcendentes Circulaires et Logarithmiques} (1761) / An excerpt from Lambert's original proof of the irrationality of $ \pi $ / 129 19. Lambert / Irrationality of $ \pi $ (1969) / A translation and Struik's discussion of Lambert's proof of the irrationality of $ \pi $ / 141 \\ 20. Shanks / Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals (1853) / Pages from Shanks's report of his monumental hand calculation of $ \pi $ / 147 \\ 21. Hermite / \booktitle{Sur La Fonction Exponentielle} (1873) / The first proof of the transcendence of $ e $ / 162 \\ 22. Lindemann / \booktitle{Ueber die Zahl $ \pi $} (1882) / The first proof of the transcendence of $ \pi $ / 194 23. Weierstrass / \booktitle{Zu Lindemann's Abhandlung ``{\"U}ber die Ludolphsche Zahl''} (1885) / Weierstrass' proof of the transcendence of $ \pi $ / 207 24. Hilbert / \booktitle{Ueber die Transzendenz der Zahlen $ e $ und $ \pi $} (1893) / Hilbert's short and elegant simplification of the transcendence proofs for $ e $ and $ \pi $ / 226 25. Goodwin / Quadrature of the Circle (1894) / The dubious origin of the attempted legislation of the value of $ \pi $ in Indiana / 230 \\ 26. Edington / House Bill No. 246, Indiana State Legislature, 1897 (1935) / A summary of the action taken by the Indiana State Legislature to fix the value of $ \pi $ (including a copy of the actual bill that was proposed) / 231 \\ 27. Singmaster / The Legal Values of Pi (1985) / A history of the attempt by Indiana to legislate the value of $ \pi $ / 236 \\ 28. Ramanujan / Squaring the Circle (1913) / A geometric approximation to $ \pi $ / 240 \\ 29. Ramanujan / Modular Equations and Approximations to $ \pi $ (1914) / Ramanujan's seminal paper on pi that includes a number of striking series and algebraic approximations / 241 \\ 30. Watson / The Marquis and the Land Agent: A Tale of the Eighteenth Century (1933) / A Presidential address to the Mathematical Association in which the author gives an account of ``some of the elementary work on arcs and ellipses and other curves which led up to the idea of inverting an elliptic integral, and so laying the foundations of elliptic functions and doubly periodic functions generally.'' / ?? \\ 31. Ballantine / The Best (?) Formula for Computing $ \pi $ to a Thousand Places (1939) / An early attempt to orchestrate the calculation of $ \pi $ more cleverly / 271 \\ 32. Birch / An Algorithm for Construction of Arctangent Relations (1946) / The object of this note is to express $ \pi / 4$ as a sum of arctan relations in powers of 10 / 274 \\ 33. Niven / A Simple Proof that $ \pi $ is Irrational (1947) / A very concise proof of the irrationality of $ \pi $ / 276 \\ 34. Reitwiesner / An ENIAC Determination of $ \pi $ and $ e $ to 2000 Decimal Places (1950) / One of the first computer-based computations / 277 \\ 35. Schepler / The Chronology of Pi (1950) / A fairly reliable outline of the history of $ \pi $ from 3000 B.C. to 1949 / 282 \\ 36. Mahler / On the Approximation of $ \pi $ (1953) / ``The aim of this paper is to determine an explicit lower bound free of unknown constants for the distance of $ \pi $ from a given rational or algebraic number.'' / 306 \\ 37. Wrench, Jr. / The Evolution of Extended Decimal Approximations to $ \pi $ (1960) / A history of the calculation of the digits of $ \pi $ to 1960 / 319 \\ 38. Shanks and Wrench, Jr. / Calculation of $ \pi $ to 100,000 Decimals (1962) / A landmark computation of $ \pi $ to more than 100,000 places / 326 39. Sweeny / On the Computation of Euler's Constant (1963) / The computation of Euler's constant to 3566 decimal places / 350 40. Baker / Approximations to the Logarithms of Certain Rational Numbers (1964) / The main purpose of this deep and fundamental paper is to ``deduce results concerning the accuracy with which the natural logarithms of certain rational numbers may be approximated by rational numbers, or, more generally, by algebraic numbers of bounded degree.'' / 359 \\ 41. Adams / Asymptotic Diophantine Approximations to e (1966) / An asymptotic estimate for the rational approximation to $ e $ which disproves the conjecture that $ e $ behaves like almost all numbers in this respect / 368 \\ 42. Mahler / Applications of Some Formulae by Hermite to the Approximations of Exponentials of Logarithms (1967) / An important extension of Hilbert's approach to the study of transcendence / 372 43. Eves / In Mathematical Circles; A Selection of Mathematical Stories and Anecdotes (excerpt) (1969) / A collection of mathematical stories and anecdotes about $ \pi $ / 456 \\ 44. Eves / Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (1971) / A further collection of mathematical stories and anecdotes about $ \pi $ / 402 45. Todd / The Lemniscate Constants (1975) / A unifying account of some of the methods used for computing the lemniscate constants / 412 \\ 46. Salamin / Computation of $ \pi $ Using Arithmetic--Geometric Mean (1976) / The first quadratically converging algorithm for $ \pi $ based on Gauss's AGM and on Legendre's relation for elliptic integrals / 418 \\ 47. Brent / Fast Multiple-Precision Evaluation of Elementary Functions (1976) / ``This paper contains the `Gauss--Legendre' method and some different algorithms for $\log$ and $\exp$ (using Landen transformations).'' / 424 \\ 48. Beukers / A Note on the Irrationality of $ \zeta(2) $ and $ \zeta(3) $ (1979) / A short and elegant recasting of Apery's proof of the irrationality of $\zeta(3)$ (and $\zeta(2)$) / 434 \\ 49. van der Poorten / A Proof that Euler Missed \ldots{} Apery's Proof of the Irrationality of $\zeta (3)$ (1979) / An illuminating account of Apery's astonishing proof of the irrationality of $\zeta (3)$ / 439 \\ 50. Brent and McMillan / Some New Algorithms for High-Precision Computation of Euler's Constant (1980) / Several new algorithms for high-precision calculation of Euler's constant, including one which was used to compute 30,100 decimal places / 448 \\ 51. Apostol / A Proof that Euler Missed: Evaluating $\zeta(2)$ the Easy Way (1983) / This note shows that one of the double integrals considered by Beukers ([48] in the table of contents) can be used to establish directly that $\zeta(2) = \pi^2 / 6$ / 456 \\ 52. O'Shaughnessy / Putting God Back in Math (1983) / An article about the Institute of Pi Research, an organization that ``pokes fun at creationists by pointing out that even the Bible makes mistakes.'' / 458 \\ 53. Stern / A Remarkable Approximation to $ \pi $ (1985) / Justification of the value of $ \pi $ in the Bible through numerological interpretations / 460 \\ 54. Newman and Shanks / On a Sequence Arising in Series for $ \pi $ (1984) / More connections between $ \pi $ and modular equations / 462 \\ 55. Cox / The Arithmetic--Geometric Mean of Gauss (1984) / An extensive study of the complex analytic properties of the AGM / 481 \\ 56. Borwein and Borwein / The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions (1984) / The relationship between the AGM iteration and fast computation of elementary functions (one of the by-products is an algorithm for $ \pi $) / 537 57. Newman / A Simplified Version of the Fast Algorithms of Brent and Salamin (1984) / Elementary algorithms for evaluating $ e^x $ and $ \pi $ using the Gauss AGM without explicit elliptic function theory / 553 \\ 58. Wagon / Is Pi Normal? (1985) / A discussion of the conjecture that $ \pi $ has randomly distributed digits / 557 \\ 59. Keith / Circle Digits: A Self-Referential Story (1986) / A mnemonic for the first 402 decimal places of $ \pi $ / 560 \\ 60. Bailey / The Computation of $ \pi $ to 29,360,000 Decimal Digits Using Borwein's Quartically Convergent Algorithm (1988) / The algorithms used, both for $ \pi $ and for performing the required multiple-precision arithmetic / 562 \\ 61. Kanada / Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of $ \pi $ Calculation (1988) / Details of the computation and statistical tests of the first 200 million digits of $ \pi $ / 576 \\ 62. Borwein and Borwein / Ramanujan and Pi (1988) / This article documents Ramanujan's life, his ingenious approach to calculating $ \pi $, and how his approach is now incorporated into modern computer algorithms / 588 \\ 63. Chudnovsky and Chudnovsky / Approximations and Complex Multiplication According to Ramanujan (1988) / This excerpt describes ``Ramanujan's original quadratic period--quasiperiod relations for elliptic curves with complex multiplication and their applications to representations of fractions of $ \pi $ and other logarithms in terms of rapidly convergent nearly integral (hypergeometric) series.'' / 596 \\ 64. Borwein, Borwein and Bailey / Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi (1989) / An exposition of the computation of $ \pi $ using mathematics rooted in Ramanujan's work / 623 \\ 65. Borwein, Borwein and Dilcher / Pi, Euler Numbers, and Asymptotic Expansions (1989) / An explanation as to why the slowly convergent Gregory series for $ \pi $, truncated at 500,000 terms, gives $ \pi $ to 40 places with only the 6th, 17th, 18th, and 29th places being incorrect / 642 \\ 66. Beukers, Bezivin, and Robba / An Alternative Proof of the Lindemann--Weierstrass Theorem (1990) / The Lindemann--Weierstrass theorem as a by-product of a criterion for rationality of solutions of differential equations / 649 \\ 67. Webster / The Tale of Pi (1991) / Various anecdotes about $ \pi $ from the 14th annual IMO Lecture to the Royal Society / 654 \\ 68. Eco / An excerpt from Foucault's Pendulum (1993) / ``The unnumbered perfection of the circle itself.'' / 658 \\ 69. Keith / Pi Mnemonics and the Art of Constrained Writing (1996) / A mnemonic for $ \pi $ based on Edgar Allen Poe's poem ``The Raven.'' / 659 \\ 70. Bailey, Borwein, and Plouffe / On the Rapid Computation of Various Polylogarithmic Constants (1997) / A fast method for computing individual digits of $ \pi $ in base 2 / 663 \\ Appendix I --- On the Early History of Pi / 677 \\ Appendix II --- A Computational Chronology of Pi / 683 \\ Appendix III --- Selected Formulae for Pi / 686 \\ Appendix IV --- Translations of Viele and Huygens / 690 \\ Bibliography / 710 \\ Credits / 717 \\ A Pamphlet on Pi / 721 \\ Contents / 723 \\ 1. Pi and Its Friends / 725 \\ 2. Normality of Numbers / 741 \\ 3. Historia Cyclometrica / 753 \\ 4. Demotica Cyclometrica / 771 \\ References / 779 \\ Index / 783

entry:
@Book{Berggren:2004:PSB,
  editor =       "Lennart Berggren and Jonathan Borwein and Peter
                 Borwein",
  booktitle =    "Pi: a source book",
  title =        "Pi: a source book",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Third",
  pages =        "xx + 797",
  year =         "2004",
  DOI =          "https://doi.org/10.1007/978-1-4757-4217-6",
  ISBN =         "0-387-20571-3",
  ISBN-13 =      "978-0-387-20571-7",
  MRclass =      "11-00 (01A05 01A75 11-03)",
  MRnumber =     "2065455",
  MRreviewer =   "F. Beukers",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  remark =       "CECM Preprint 2003:210.",
  tableofcontents = "Preface to the Third Edition / v \\
                 Preface to the Second Edition / vi \\
                 Preface / vii \\
                 Acknowledgments / x \\
                 Introduction / xvii \\
                 1. The Rhind Mathematical Papyrus --- Problem 50
                 ($\approx$1650 B.C.) / A problem dealing with the area
                 of a round field of given diameter / 1 \\
                 2. Engels / Quadrature of the Circle in Ancient Egypt
                 (1977) / A conjectural explanation of how the
                 mathematicians of ancient Egypt approximated the area
                 of a circle / 3 \\
                 3. Archimedes / Measurement of a Circle --- (-250 B.C.)
                 / The seminal work in which Archimedes presents the
                 first true algorithm for $ \pi $ / 7 \\
                 4. Phillips / Archimedes the Numerical --- Analyst
                 (1981) / A summary of Archimedes' work on the
                 computation of $ \pi $ using modem notation / 15 \\
                 5. Lam and Ang / Circle Measurements in Ancient China
                 (1986) / This paper discusses and contains a
                 translation of Liu Hui's (3rd century) method for
                 evaluating $ \pi $ and also examines values for $ \pi $
                 given by Zu Chongzhi (429--500) / 20 \\
                 6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane
                 and Solid Figures (--850) / This extract gives an
                 explicit statement and proof that the ratio of the
                 circumference to the diameter is constant / 36 \\
                 7. M{\=a}dhava / The Power Series for Arctan and Pi
                 (-1400) / These theorems by a fifteenth century Indian
                 mathematician give Gregory's series for arctan with
                 remainder terms and Leibniz's series for $ \pi $ / 45
                 \\
                 8. Hope-Jones / Ludolph (or Ludolff or Lucius) van
                 Ceulen (1938) / Correspondence about van Ceulen's
                 tombstone in reference to it containing some digits of
                 $ \pi $ / 51 \\
                 9. Vi{\`e}te / \booktitle{Variorum de Rebus
                 Mathematicis Reponsorum Liber VII} (1593) / Two
                 excerpts. One containing the first infinite expression
                 of $ \pi $, obtained by relating the area of a regular
                 $2n$-gon to that of a regular $n$-gon / 53 \\
                 10. Wallis. Computation of $ \pi $ by Successive
                 Interpolations (1655) / How Wallis derived the infinite
                 product for $ \pi $ that bears his name / 68 \\
                 11. Wallis / \booktitle{Arithmetica Infinitorum} (1655)
                 / An excerpt including Prop. 189, 191 and an alternate
                 form of the result that gives Wm. Brounker's continued
                 fraction expression for $ 4 / \pi$ / ?? \\
                 12. Huygens / \booktitle{De Circuli Magnitudine
                 Inventa} (1654) / Huygens's demonstration of how to
                 triple the number of correct decimals over those in
                 Archimedes' estimate of $ \pi $ / 81 13. Gregory /
                 Correspondence with John Collins (1671) / A letter to
                 Collins in which he gives his series for arctangent,
                 carried to the ninth power / 87 \\
                 14. Roy / The Discovery of the Series Formula for $ \pi
                 $ by Leibniz, Gregory, and Nilakantha (1990) / A
                 discussion of the discovery of the series $ \pi / 4 = 1
                 - 1/3 + 1/5 - \cdots{} $ / 92 \\
                 15. Jones / The First Use of $ \pi $ for the Circle
                 Ratio (1706) / An excerpt from Jones' book, the
                 \booktitle{Synopsis Palmariorum Matheseos: or, a New
                 Introduction to the Mathematics}, London, 1706 / 108
                 \\
                 16. Newton / Of the Method of Fluxions and Infinite
                 Series (1737) / An excerpt giving Newton's calculation
                 of $ \pi $ to 16 decimal places / 110 \\
                 17. Euler / Chapter 10 of \booktitle{Introduction to
                 Analysis of the Infinite (On the Use of the Discovered
                 Fractions to Sum Infinite Series)} (1748) / This
                 includes many of Euler's infinite series for $ \pi $
                 and powers of $ \pi $ / 112 \\
                 18. Lambert / \booktitle{M{\'e}moire Sur Quelques
                 Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s
                 Transcendentes Circulaires et Logarithmiques} (1761) /
                 An excerpt from Lambert's original proof of the
                 irrationality of $ \pi $ / 129 19. Lambert /
                 Irrationality of $ \pi $ (1969) / A translation and
                 Struik's discussion of Lambert's proof of the
                 irrationality of $ \pi $ / 141 \\
                 20. Shanks / Contributions to Mathematics Comprising
                 Chiefly of the Rectification of the Circle to 607
                 Places of Decimals (1853) / Pages from Shanks's report
                 of his monumental hand calculation of $ \pi $ / 147 \\
                 21. Hermite / \booktitle{Sur La Fonction Exponentielle}
                 (1873) / The first proof of the transcendence of $ e $
                 / 162 \\
                 22. Lindemann / \booktitle{Ueber die Zahl $ \pi $}
                 (1882) / The first proof of the transcendence of $ \pi
                 $ / 194 23. Weierstrass / \booktitle{Zu Lindemann's
                 Abhandlung ``{\"U}ber die Ludolphsche Zahl''} (1885) /
                 Weierstrass' proof of the transcendence of $ \pi $ /
                 207 24. Hilbert / \booktitle{Ueber die Transzendenz der
                 Zahlen $ e $ und $ \pi $} (1893) / Hilbert's short and
                 elegant simplification of the transcendence proofs for
                 $ e $ and $ \pi $ / 226 25. Goodwin / Quadrature of the
                 Circle (1894) / The dubious origin of the attempted
                 legislation of the value of $ \pi $ in Indiana / 230
                 \\
                 26. Edington / House Bill No. 246, Indiana State
                 Legislature, 1897 (1935) / A summary of the action
                 taken by the Indiana State Legislature to fix the value
                 of $ \pi $ (including a copy of the actual bill that
                 was proposed) / 231 \\
                 27. Singmaster / The Legal Values of Pi (1985) / A
                 history of the attempt by Indiana to legislate the
                 value of $ \pi $ / 236 \\
                 28. Ramanujan / Squaring the Circle (1913) / A
                 geometric approximation to $ \pi $ / 240 \\
                 29. Ramanujan / Modular Equations and Approximations to
                 $ \pi $ (1914) / Ramanujan's seminal paper on pi that
                 includes a number of striking series and algebraic
                 approximations / 241 \\
                 30. Watson / The Marquis and the Land Agent: A Tale of
                 the Eighteenth Century (1933) / A Presidential address
                 to the Mathematical Association in which the author
                 gives an account of ``some of the elementary work on
                 arcs and ellipses and other curves which led up to the
                 idea of inverting an elliptic integral, and so laying
                 the foundations of elliptic functions and doubly
                 periodic functions generally.'' / ?? \\
                 31. Ballantine / The Best (?) Formula for Computing $
                 \pi $ to a Thousand Places (1939) / An early attempt to
                 orchestrate the calculation of $ \pi $ more cleverly /
                 271 \\
                 32. Birch / An Algorithm for Construction of Arctangent
                 Relations (1946) / The object of this note is to
                 express $ \pi / 4$ as a sum of arctan relations in
                 powers of 10 / 274 \\
                 33. Niven / A Simple Proof that $ \pi $ is Irrational
                 (1947) / A very concise proof of the irrationality of $
                 \pi $ / 276 \\
                 34. Reitwiesner / An ENIAC Determination of $ \pi $ and
                 $ e $ to 2000 Decimal Places (1950) / One of the first
                 computer-based computations / 277 \\
                 35. Schepler / The Chronology of Pi (1950) / A fairly
                 reliable outline of the history of $ \pi $ from 3000
                 B.C. to 1949 / 282 \\
                 36. Mahler / On the Approximation of $ \pi $ (1953) /
                 ``The aim of this paper is to determine an explicit
                 lower bound free of unknown constants for the distance
                 of $ \pi $ from a given rational or algebraic number.''
                 / 306 \\
                 37. Wrench, Jr. / The Evolution of Extended Decimal
                 Approximations to $ \pi $ (1960) / A history of the
                 calculation of the digits of $ \pi $ to 1960 / 319 \\
                 38. Shanks and Wrench, Jr. / Calculation of $ \pi $ to
                 100,000 Decimals (1962) / A landmark computation of $
                 \pi $ to more than 100,000 places / 326 39. Sweeny / On
                 the Computation of Euler's Constant (1963) / The
                 computation of Euler's constant to 3566 decimal places
                 / 350 40. Baker / Approximations to the Logarithms of
                 Certain Rational Numbers (1964) / The main purpose of
                 this deep and fundamental paper is to ``deduce results
                 concerning the accuracy with which the natural
                 logarithms of certain rational numbers may be
                 approximated by rational numbers, or, more generally,
                 by algebraic numbers of bounded degree.'' / 359 \\
                 41. Adams / Asymptotic Diophantine Approximations to e
                 (1966) / An asymptotic estimate for the rational
                 approximation to $ e $ which disproves the conjecture
                 that $ e $ behaves like almost all numbers in this
                 respect / 368 \\
                 42. Mahler / Applications of Some Formulae by Hermite
                 to the Approximations of Exponentials of Logarithms
                 (1967) / An important extension of Hilbert's approach
                 to the study of transcendence / 372 43. Eves / In
                 Mathematical Circles; A Selection of Mathematical
                 Stories and Anecdotes (excerpt) (1969) / A collection
                 of mathematical stories and anecdotes about $ \pi $ /
                 456 \\
                 44. Eves / Mathematical Circles Revisited; A Second
                 Collection of Mathematical Stories and Anecdotes
                 (excerpt) (1971) / A further collection of mathematical
                 stories and anecdotes about $ \pi $ / 402 45. Todd /
                 The Lemniscate Constants (1975) / A unifying account of
                 some of the methods used for computing the lemniscate
                 constants / 412 \\
                 46. Salamin / Computation of $ \pi $ Using
                 Arithmetic--Geometric Mean (1976) / The first
                 quadratically converging algorithm for $ \pi $ based on
                 Gauss's AGM and on Legendre's relation for elliptic
                 integrals / 418 \\
                 47. Brent / Fast Multiple-Precision Evaluation of
                 Elementary Functions (1976) / ``This paper contains the
                 `Gauss--Legendre' method and some different algorithms
                 for $\log$ and $\exp$ (using Landen transformations).''
                 / 424 \\
                 48. Beukers / A Note on the Irrationality of $ \zeta(2)
                 $ and $ \zeta(3) $ (1979) / A short and elegant
                 recasting of Apery's proof of the irrationality of
                 $\zeta(3)$ (and $\zeta(2)$) / 434 \\
                 49. van der Poorten / A Proof that Euler Missed
                 \ldots{} Apery's Proof of the Irrationality of $\zeta
                 (3)$ (1979) / An illuminating account of Apery's
                 astonishing proof of the irrationality of $\zeta (3)$ /
                 439 \\
                 50. Brent and McMillan / Some New Algorithms for
                 High-Precision Computation of Euler's Constant (1980) /
                 Several new algorithms for high-precision calculation
                 of Euler's constant, including one which was used to
                 compute 30,100 decimal places / 448 \\
                 51. Apostol / A Proof that Euler Missed: Evaluating
                 $\zeta(2)$ the Easy Way (1983) / This note shows that
                 one of the double integrals considered by Beukers ([48]
                 in the table of contents) can be used to establish
                 directly that $\zeta(2) = \pi^2 / 6$ / 456 \\
                 52. O'Shaughnessy / Putting God Back in Math (1983) /
                 An article about the Institute of Pi Research, an
                 organization that ``pokes fun at creationists by
                 pointing out that even the Bible makes mistakes.'' /
                 458 \\
                 53. Stern / A Remarkable Approximation to $ \pi $
                 (1985) / Justification of the value of $ \pi $ in the
                 Bible through numerological interpretations / 460 \\
                 54. Newman and Shanks / On a Sequence Arising in Series
                 for $ \pi $ (1984) / More connections between $ \pi $
                 and modular equations / 462 \\
                 55. Cox / The Arithmetic--Geometric Mean of Gauss
                 (1984) / An extensive study of the complex analytic
                 properties of the AGM / 481 \\
                 56. Borwein and Borwein / The Arithmetic--Geometric
                 Mean and Fast Computation of Elementary Functions
                 (1984) / The relationship between the AGM iteration and
                 fast computation of elementary functions (one of the
                 by-products is an algorithm for $ \pi $) / 537 57.
                 Newman / A Simplified Version of the Fast Algorithms of
                 Brent and Salamin (1984) / Elementary algorithms for
                 evaluating $ e^x $ and $ \pi $ using the Gauss AGM
                 without explicit elliptic function theory / 553 \\
                 58. Wagon / Is Pi Normal? (1985) / A discussion of the
                 conjecture that $ \pi $ has randomly distributed digits
                 / 557 \\
                 59. Keith / Circle Digits: A Self-Referential Story
                 (1986) / A mnemonic for the first 402 decimal places of
                 $ \pi $ / 560 \\
                 60. Bailey / The Computation of $ \pi $ to 29,360,000
                 Decimal Digits Using Borwein's Quartically Convergent
                 Algorithm (1988) / The algorithms used, both for $ \pi
                 $ and for performing the required multiple-precision
                 arithmetic / 562 \\
                 61. Kanada / Vectorization of Multiple-Precision
                 Arithmetic Program and 201,326,000 Decimal Digits of $
                 \pi $ Calculation (1988) / Details of the computation
                 and statistical tests of the first 200 million digits
                 of $ \pi $ / 576 \\
                 62. Borwein and Borwein / Ramanujan and Pi (1988) /
                 This article documents Ramanujan's life, his ingenious
                 approach to calculating $ \pi $, and how his approach
                 is now incorporated into modern computer algorithms /
                 588 \\
                 63. Chudnovsky and Chudnovsky / Approximations and
                 Complex Multiplication According to Ramanujan (1988) /
                 This excerpt describes ``Ramanujan's original quadratic
                 period--quasiperiod relations for elliptic curves with
                 complex multiplication and their applications to
                 representations of fractions of $ \pi $ and other
                 logarithms in terms of rapidly convergent nearly
                 integral (hypergeometric) series.'' / 596 \\
                 64. Borwein, Borwein and Bailey / Ramanujan, Modular
                 Equations, and Approximations to Pi or How to Compute
                 One Billion Digits of Pi (1989) / An exposition of the
                 computation of $ \pi $ using mathematics rooted in
                 Ramanujan's work / 623 \\
                 65. Borwein, Borwein and Dilcher / Pi, Euler Numbers,
                 and Asymptotic Expansions (1989) / An explanation as to
                 why the slowly convergent Gregory series for $ \pi $,
                 truncated at 500,000 terms, gives $ \pi $ to 40 places
                 with only the 6th, 17th, 18th, and 29th places being
                 incorrect / 642 \\
                 66. Beukers, Bezivin, and Robba / An Alternative Proof
                 of the Lindemann--Weierstrass Theorem (1990) / The
                 Lindemann--Weierstrass theorem as a by-product of a
                 criterion for rationality of solutions of differential
                 equations / 649 \\
                 67. Webster / The Tale of Pi (1991) / Various anecdotes
                 about $ \pi $ from the 14th annual IMO Lecture to the
                 Royal Society / 654 \\
                 68. Eco / An excerpt from Foucault's Pendulum (1993) /
                 ``The unnumbered perfection of the circle itself.'' /
                 658 \\
                 69. Keith / Pi Mnemonics and the Art of Constrained
                 Writing (1996) / A mnemonic for $ \pi $ based on Edgar
                 Allen Poe's poem ``The Raven.'' / 659 \\
                 70. Bailey, Borwein, and Plouffe / On the Rapid
                 Computation of Various Polylogarithmic Constants (1997)
                 / A fast method for computing individual digits of $
                 \pi $ in base 2 / 663 \\
                 Appendix I --- On the Early History of Pi / 677 \\
                 Appendix II --- A Computational Chronology of Pi / 683
                 \\
                 Appendix III --- Selected Formulae for Pi / 686 \\
                 Appendix IV --- Translations of Viele and Huygens / 690
                 \\
                 Bibliography / 710 \\
                 Credits / 717 \\
                 A Pamphlet on Pi / 721 \\
                 Contents / 723 \\
                 1. Pi and Its Friends / 725 \\
                 2. Normality of Numbers / 741 \\
                 3. Historia Cyclometrica / 753 \\
                 4. Demotica Cyclometrica / 771 \\
                 References / 779 \\
                 Index / 783",
}


bibtype: proceedings
filename: elefunt.bib
label: Frougny:2004:RCR
editor: Christiane Frougny and Vasco Brattka and Norbert Muller
booktitle: RNC'6, 6th Conference on Real Numbers and Computers: Nov 15--17, 2004, Dagstuhl, Germany
title: RNC'6, 6th Conference on Real Numbers and Computers: Nov 15--17, 2004, Dagstuhl, Germany
publisher: Universitaat Trier, Fachbereich IV, Mathematik, Informatik
address: Trier, Germany
pages: 216 + i
year: 2004
ISSN: 0944-0488 OR 09440488
ISSNL: 0944-0488 OR 09440488
bibdate: Thu Apr 28 05:55:01 2022
bibtimestamp: 2022.04.28 05:55:01 ???
note: Forschungsbericht Nr. 04-8.
keywords: base conversion; decimal floating-point arithmetic
acknowledgement: ack-nhfb
bookpages: 216 + i
rawbooktitle: {RNC'6, 6th Conference on Real Numbers and Computers: Nov 15--17, 2004, Dagstuhl, Germany}
raweditor: Christiane Frougny and Vasco Brattka and Norbert M{\"u}ller
rawnote: Forschungsbericht Nr. 04-8.
rawtitle: {RNC'6, 6th Conference on Real Numbers and Computers: Nov 15--17, 2004, Dagstuhl, Germany}
URL:
http://www.informatik.uni-trier.de/Reports/TR-08-2004; http://www.informatik.uni-trier.de/Reports/TR-08-2004/rnc6-complete.pdf

TOC:
Introduction / Christiane Frougny / 1--4 Invited Lecture: New ideas and results for solving Differential equations symbolically [abstract only] / Benno Fuchssteiner / 5--5 Invited Lecture: A survey of Integer Relations algorithms and rational numbers [abstract only] / Simon Plouffe / 6--6 Invited Lecture: Real Numbers and Robustness in Computational Geometry / Stefan Schirra / 7--21 Bridging the gap between formal specification and bit-level floating-point arithmetic / Sylvie Boldo / 22--36 Automata, Borel functions and real numbers in Pisot base / B. Cagnard, P. Simonnet / 37--54 Generating formally certified bounds on values and round-off errors / Marc Daumas, Guillaume Melquiond / 55--70 A proven correctly rounded logarithm in double-precision / Florent de Dinechin, Catherine Loirat, Jean-Michel Muller / 71--85 A comparison of polynomial evaluation schemes / L. Fousse, S. Schmitt / 86--102 A comparison of real and complex pseudozero sets for polynomials with real coefficients / Stef Graillat, Philippe Langlois / 103--112 On Intermediate Precision Required for Correctly-Rounding Decimal-to-Binary Floating-Point Conversion / Michel Hack / 113--134 The Generic Multiple-Precision Floating-Point Addition With Exact Rounding (as in the MPFR Library) / Vincent Lefevre / 135--145 Software Division and Square Root Using Goldschmidt's Algorithms / Peter Markstein / 146--157 A Fast Algorithm for Julia Sets of Hyperbolic Rational Functions / R. Rettinger / 158--171 An extension of Chaitin's halting probability $Omega $ to measurement operator in infinite dimensional quantum system / Kohtaro Tadaki / 172--191 On the Hierarchy of $Delta _2^0$-Real Numbers / Xizhong Zheng / 192--215 Trierer Forschungsberichte Mathematik / Informatik [one page list of reports] / 1--1 (216--216)

rawTOC:
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entry:
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  editor =       "Christiane Frougny and Vasco Brattka and Norbert
                 M{\"u}ller",
  booktitle =    "{RNC'6, 6th Conference on Real Numbers and Computers:
                 Nov 15--17, 2004, Dagstuhl, Germany}",
  title =        "{RNC'6, 6th Conference on Real Numbers and Computers:
                 Nov 15--17, 2004, Dagstuhl, Germany}",
  publisher =    "Universita{\"a}t Trier, Fachbereich IV, Mathematik,
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  address =      "Trier, Germany",
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  pages =        "216 + i",
  year =         "2004",
  ISSN =         "0944-0488",
  ISSN-L =       "0944-0488",
  bibdate =      "Thu Apr 28 05:55:01 2022",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Forschungsbericht Nr. 04-8.",
  URL =          "http://www.informatik.uni-trier.de/Reports/TR-08-2004;
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  acknowledgement = ack-nhfb,
  keywords =     "base conversion; decimal floating-point arithmetic",
  tableofcontents = "Introduction / Christiane Frougny / 1--4 \\
                 Invited Lecture: New ideas and results for solving
                 Differential equations symbolically [abstract only] /
                 Benno Fuchssteiner / 5--5 \\
                 Invited Lecture: A survey of Integer Relations
                 algorithms and rational numbers [abstract only] / Simon
                 Plouffe / 6--6 \\
                 Invited Lecture: Real Numbers and Robustness in
                 Computational Geometry / Stefan Schirra / 7--21 \\
                 Bridging the gap between formal specification and
                 bit-level floating-point arithmetic / Sylvie Boldo /
                 22--36 \\
                 Automata, Borel functions and real numbers in Pisot
                 base / B. Cagnard, P. Simonnet / 37--54 \\
                 Generating formally certified bounds on values and
                 round-off errors / Marc Daumas, Guillaume Melquiond /
                 55--70 \\
                 A proven correctly rounded logarithm in
                 double-precision / Florent de Dinechin, Catherine
                 Loirat, Jean-Michel Muller / 71--85 \\
                 A comparison of polynomial evaluation schemes / L.
                 Fousse, S. Schmitt / 86--102 \\
                 A comparison of real and complex pseudozero sets for
                 polynomials with real coefficients / Stef Graillat,
                 Philippe Langlois / 103--112 \\
                 On Intermediate Precision Required for
                 Correctly-Rounding Decimal-to-Binary Floating-Point
                 Conversion / Michel Hack / 113--134 \\
                 The Generic Multiple-Precision Floating-Point Addition
                 With Exact Rounding (as in the MPFR Library) / Vincent
                 Lef{\`e}vre / 135--145 \\
                 Software Division and Square Root Using Goldschmidt's
                 Algorithms / Peter Markstein / 146--157 \\
                 A Fast Algorithm for Julia Sets of Hyperbolic Rational
                 Functions / R. Rettinger / 158--171 \\
                 An extension of Chaitin's halting probability $\Omega$
                 to measurement operator in infinite dimensional quantum
                 system / Kohtaro Tadaki / 172--191 \\
                 On the Hierarchy of $\Delta_2^0$-Real Numbers / Xizhong
                 Zheng / 192--215 \\
                 Trierer Forschungsberichte Mathematik / Informatik [one
                 page list of reports] / 1--1 (216--216)",
}


bibtype: book
filename: elefunt.bib
label: Wahdan:2004:IHE
editor: Abdel-Moniem Wahdan
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xlv + 954
year: 2004
bibdate: Tue Jul 19 08:01:02 MDT 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; melvyl.cdlib.org:210/CDL90
bibtimestamp: 2005.07.19 08:01:02 MDT
note: IEEE catalog number 04EX893.
subject: Electric engineering; Congresses; Electronics; Congresses; Computer engineering; Congresses
acknowledgement: ack-nhfb
raweditor: Abdel-Moniem Wahdan
rawnote: IEEE catalog number 04EX893.
booktitle:
ICEEC'04: 2004 International Conference on Electrical, Electronic and Computer Engineering: proceedings: 5--7 September, 2004, Cairo, Egypt

title:
ICEEC'04: 2004 International Conference on Electrical, Electronic and Computer Engineering: proceedings: 5--7 September, 2004, Cairo, Egypt

rawbooktitle:
{ICEEC'04: 2004 International Conference on Electrical, Electronic and Computer Engineering: proceedings: 5--7 September, 2004, Cairo, Egypt}

rawtitle:
{ICEEC'04: 2004 International Conference on Electrical, Electronic and Computer Engineering: proceedings: 5--7 September, 2004, Cairo, Egypt}

entry:
@Book{Wahdan:2004:IHE,
  editor =       "Abdel-Moniem Wahdan",
  booktitle =    "{ICEEC'04: 2004 International Conference on
                 Electrical, Electronic and Computer Engineering:
                 proceedings: 5--7 September, 2004, Cairo, Egypt}",
  title =        "{ICEEC'04: 2004 International Conference on
                 Electrical, Electronic and Computer Engineering:
                 proceedings: 5--7 September, 2004, Cairo, Egypt}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xlv + 954",
  year =         "2004",
  bibdate =      "Tue Jul 19 08:01:02 MDT 2005",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 melvyl.cdlib.org:210/CDL90",
  note =         "IEEE catalog number 04EX893.",
  acknowledgement = ack-nhfb,
  subject =      "Electric engineering; Congresses; Electronics;
                 Congresses; Computer engineering; Congresses",
}


bibtype: proceedings
filename: elefunt.bib
label: IEEE:2005:PIS
editor: IEEE
publisher: pub-IEEE
address: pub-IEEE:adr
year: 2005
bibdate: Tue Jun 21 19:02:16 2005
bibsource: http://arith17.polito.it/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.06.21 19:02:16 ???
acknowledgement: ack-nhfb
raweditor: {IEEE}
booktitle:
Proceedings of the 17th IEEE Symposium on Computer Arithmetic, ARITH-17, June 27--29, 2005, Cape Cod, Massachusetts, USA

title:
Proceedings of the 17th IEEE Symposium on Computer Arithmetic, ARITH-17, June 27--29, 2005, Cape Cod, Massachusetts, USA

rawbooktitle:
{Proceedings of the 17th IEEE Symposium on Computer Arithmetic, ARITH-17, June 27--29, 2005, Cape Cod, Massachusetts, USA}

rawtitle:
{Proceedings of the 17th IEEE Symposium on Computer Arithmetic, ARITH-17, June 27--29, 2005, Cape Cod, Massachusetts, USA}

entry:
@Proceedings{IEEE:2005:PIS,
  editor =       "{IEEE}",
  booktitle =    "{Proceedings of the 17th IEEE Symposium on Computer
                 Arithmetic, ARITH-17, June 27--29, 2005, Cape Cod,
                 Massachusetts, USA}",
  title =        "{Proceedings of the 17th IEEE Symposium on Computer
                 Arithmetic, ARITH-17, June 27--29, 2005, Cape Cod,
                 Massachusetts, USA}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "????",
  year =         "2005",
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  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Jun 21 19:02:16 2005",
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                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  xxnote =       "Not yet published: check editor??",
}


bibtype: book
filename: elefunt.bib
label: Ismail:2005:TAS
editor: Mourad E. H. Ismail and Erik Koelink
booktitle: Theory and Applications of Special Functions: a Volume Dedicated to Mizan Rahman
title: Theory and Applications of Special Functions: a Volume Dedicated to Mizan Rahman
volume: 13
publisher: pub-SV
address: pub-SV:adr
pages: x + 491
year: 2005
ISBN: 0-387-24231-7 (hardcover), 0-387-24233-3 (e-book) OR 0387242317 (hardcover), 0387242333 (ebook)
LCCN: QA351 .T44 2005
bibdate: Sat Oct 30 07:35:31 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2010.10.30 07:35:31 MDT
series: Developments in mathematics
acknowledgement: ack-nhfb
rawbooktitle: Theory and Applications of Special Functions: a Volume Dedicated to {Mizan Rahman}
raweditor: Mourad E. H. Ismail and Erik Koelink
rawtitle: Theory and Applications of Special Functions: a Volume Dedicated to {Mizan Rahman}
ISBN13:
978-0-387-24231-6 (hardcover), 978-0-387-24233-0(e-book) OR 9780387242316 (hardcover), 9780387242330(ebook)

URL:
http://www.loc.gov/catdir/enhancements/fy0663/2005275626-d.html; http://www.loc.gov/catdir/toc/fy0605/2005275626.html

abstract:
This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. It also includes an article by Askey, Ismail, and Koelink on Rahman's mathematical contributions and how they influenced the recent upsurge in the subject. Theory and Applications of Special Functions is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems.

subject:
Mathematics; Special Functions; Functions, special; Integral Transforms; Approximations and Expansions; Integral Transforms, Operational Calculus

TOC:
Mizan Rahman, his mathematics and literary writings / Richard Askey, Mourad E. H. Ismail and Erik Koelink On the completeness of sets of $q$-Bessel function $Jnu ^(3)(x; q)$ / L. D. Abreu and J. Bustoz $alpha $-Gaussian polynomials and finite Rogers-Ramanujan identities / George E. Andrews On a generalized gamma convolution related to the $q$-calculus / Christian Berg Ramanujan and cranks / Bruce C. Berndt, Heng Huat Chan, Song Heng Chan and Wen-Chin Liaw Saalschutz chain reactions and multiple $q$-series transformations / Chu Wenchang Painleve equations and associated polynomials / Peter A. Clarkson Zeta functions of Heisenberg graphs over finite rings / Michelle DeDeo, Maria Martinez, Archie Medrano, Marvin Minei, Harold Stark and Audrey Terras $q$-Analogues of some multivariable biorthogonal polynomials / George Gasper and Mizan Rahman ^?? : Some systems of multivariable orthogonal Askey-Wilson polynomials / George Gasper and Mizan Rahman Continuous Hahn functions as Clebsch--Gordan coefficients / Wolter Groenevelt, Erik Koelink and Hjalmar Rosengren New proofs of some $q$-series results / Mourad E. H. Ismail and Ruiming Zhang Little $q$-Jacobi functions of complex order / Kevin W. J. Kadell Second addition formula for continuous $q$-ultraspherical polynomials / Tom H. Koornwinder Bilateral series involving basic hypergeometric functions / Hjalmar Rosengren Hilbert space asymptotics of a class of orthonormal polynomials on a bounded interval / S. N. M. Ruijsenaars Abel--Rothe type generalizations of Jacobi's triple product identity / Michael Schlosser Summable sums of hypergeometric series / D. Stanton Askey--Wilson functions and quantum groups / Jasper V. Stokman Analog of the Cauchy--Hadamard formula for expansions in $q$-polynomials /Remarks on some basic hypergeometric series / Changgui Zhang

rawabstract:
This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. It also includes an article by Askey, Ismail, and Koelink on Rahman's mathematical contributions and how they influenced the recent upsurge in the subject. Theory and Applications of Special Functions is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems.

rawTOC:
Mizan Rahman, his mathematics and literary writings / Richard Askey, Mourad E. H. Ismail and Erik Koelink \\ On the completeness of sets of $q$-Bessel function $J\nu^{(3)}(x; q)$ / L. D. Abreu and J. Bustoz \\ $\alpha$-Gaussian polynomials and finite Rogers-Ramanujan identities / George E. Andrews \\ On a generalized gamma convolution related to the $q$-calculus / Christian Berg \\ Ramanujan and cranks / Bruce C. Berndt, Heng Huat Chan, Song Heng Chan and Wen-Chin Liaw \\ Saalschutz chain reactions and multiple $q$-series transformations / Chu Wenchang \\ Painleve equations and associated polynomials / Peter A. Clarkson \\ Zeta functions of Heisenberg graphs over finite rings / Michelle DeDeo, Maria Martinez, Archie Medrano, Marvin Minei, Harold Stark and Audrey Terras \\ $q$-Analogues of some multivariable biorthogonal polynomials / George Gasper and Mizan Rahman \\ ^?? : Some systems of multivariable orthogonal Askey-Wilson polynomials / George Gasper and Mizan Rahman \\ Continuous Hahn functions as Clebsch--Gordan coefficients / Wolter Groenevelt, Erik Koelink and Hjalmar Rosengren \\ New proofs of some $q$-series results / Mourad E. H. Ismail and Ruiming Zhang \\ Little $q$-Jacobi functions of complex order / Kevin W. J. Kadell \\ Second addition formula for continuous $q$-ultraspherical polynomials / Tom H. Koornwinder \\ Bilateral series involving basic hypergeometric functions / Hjalmar Rosengren \\ Hilbert space asymptotics of a class of orthonormal polynomials on a bounded interval / S. N. M. Ruijsenaars \\ Abel--Rothe type generalizations of Jacobi's triple product identity / Michael Schlosser \\ Summable sums of hypergeometric series / D. Stanton \\ Askey--Wilson functions and quantum groups / Jasper V. Stokman \\ Analog of the Cauchy--Hadamard formula for expansions in $q$-polynomials /Remarks on some basic hypergeometric series / Changgui Zhang

entry:
@Book{Ismail:2005:TAS,
  editor =       "Mourad E. H. Ismail and Erik Koelink",
  booktitle =    "Theory and Applications of Special Functions: a Volume
                 Dedicated to {Mizan Rahman}",
  title =        "Theory and Applications of Special Functions: a Volume
                 Dedicated to {Mizan Rahman}",
  volume =       "13",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 491",
  year =         "2005",
  ISBN =         "0-387-24231-7 (hardcover), 0-387-24233-3 (e-book)",
  ISBN-13 =      "978-0-387-24231-6 (hardcover),
                 978-0-387-24233-0(e-book)",
  LCCN =         "QA351 .T44 2005",
  bibdate =      "Sat Oct 30 07:35:31 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Developments in mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0663/2005275626-d.html;
                 http://www.loc.gov/catdir/toc/fy0605/2005275626.html",
  abstract =     "This book, dedicated to Mizan Rahman, is made up of a
                 collection of articles on various aspects of q-series
                 and special functions. It also includes an article by
                 Askey, Ismail, and Koelink on Rahman's mathematical
                 contributions and how they influenced the recent
                 upsurge in the subject. Theory and Applications of
                 Special Functions is intended for researchers and
                 graduate students in special functions, algebraic
                 combinatorics, quantum groups, and integrable
                 systems.",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Special Functions; Functions, special;
                 Integral Transforms; Approximations and Expansions;
                 Integral Transforms, Operational Calculus",
  tableofcontents = "Mizan Rahman, his mathematics and literary writings
                 / Richard Askey, Mourad E. H. Ismail and Erik Koelink
                 \\
                 On the completeness of sets of $q$-Bessel function
                 $J\nu^{(3)}(x; q)$ / L. D. Abreu and J. Bustoz \\
                 $\alpha$-Gaussian polynomials and finite
                 Rogers-Ramanujan identities / George E. Andrews \\
                 On a generalized gamma convolution related to the
                 $q$-calculus / Christian Berg \\
                 Ramanujan and cranks / Bruce C. Berndt, Heng Huat Chan,
                 Song Heng Chan and Wen-Chin Liaw \\
                 Saalschutz chain reactions and multiple $q$-series
                 transformations / Chu Wenchang \\
                 Painleve equations and associated polynomials / Peter
                 A. Clarkson \\
                 Zeta functions of Heisenberg graphs over finite rings /
                 Michelle DeDeo, Maria Martinez, Archie Medrano, Marvin
                 Minei, Harold Stark and Audrey Terras \\
                 $q$-Analogues of some multivariable biorthogonal
                 polynomials / George Gasper and Mizan Rahman \\
                 ^?? : Some systems of multivariable orthogonal
                 Askey-Wilson polynomials / George Gasper and Mizan
                 Rahman \\
                 Continuous Hahn functions as Clebsch--Gordan
                 coefficients / Wolter Groenevelt, Erik Koelink and
                 Hjalmar Rosengren \\
                 New proofs of some $q$-series results / Mourad E. H.
                 Ismail and Ruiming Zhang \\
                 Little $q$-Jacobi functions of complex order / Kevin W.
                 J. Kadell \\
                 Second addition formula for continuous
                 $q$-ultraspherical polynomials / Tom H. Koornwinder \\
                 Bilateral series involving basic hypergeometric
                 functions / Hjalmar Rosengren \\
                 Hilbert space asymptotics of a class of orthonormal
                 polynomials on a bounded interval / S. N. M.
                 Ruijsenaars \\
                 Abel--Rothe type generalizations of Jacobi's triple
                 product identity / Michael Schlosser \\
                 Summable sums of hypergeometric series / D. Stanton \\
                 Askey--Wilson functions and quantum groups / Jasper V.
                 Stokman \\
                 Analog of the Cauchy--Hadamard formula for expansions
                 in $q$-polynomials /Remarks on some basic
                 hypergeometric series / Changgui Zhang",
}


bibtype: proceedings
filename: elefunt.bib
label: Vassiliadis:2005:IIC
editor: Stamatis Vassiliadis and Nikitas J. Dimopoulos and Sanjay Vishnu Rajopadhye
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xiii + 419
year: 2005
ISBN: 0-7695-2407-9 OR 0769524079
ISBN13: 978-0-7695-2407-8 OR 9780769524078
LCCN: TK7874.6 .I58 2005
bibdate: Sun Mar 4 21:53:56 MST 2007
bibtimestamp: 2007.03.04 21:53:56 MST
acknowledgement: ack-nhfb
raweditor: Stamatis Vassiliadis and Nikitas J. Dimopoulos and Sanjay Vishnu Rajopadhye
booktitle:
16th IEEE International Conference on Application-Specific Systems, Architectures, and Processors: ASAP 2005: 23--25 July 2005, Samos, Greece

title:
16th IEEE International Conference on Application-Specific Systems, Architectures, and Processors: ASAP 2005: 23--25 July 2005, Samos, Greece

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; melvyl.cdlib.org:210/CDL90

subject:
Array processors; Congresses; Signal processing; Digital techniques; Application specific integrated circuits

rawbooktitle:
{16th IEEE International Conference on Application-Specific Systems, Architectures, and Processors: ASAP 2005: 23--25 July 2005, Samos, Greece}

rawtitle:
{16th IEEE International Conference on Application-Specific Systems, Architectures, and Processors: ASAP 2005: 23--25 July 2005, Samos, Greece}

entry:
@Proceedings{Vassiliadis:2005:IIC,
  editor =       "Stamatis Vassiliadis and Nikitas J. Dimopoulos and
                 Sanjay Vishnu Rajopadhye",
  booktitle =    "{16th IEEE International Conference on
                 Application-Specific Systems, Architectures, and
                 Processors: ASAP 2005: 23--25 July 2005, Samos,
                 Greece}",
  title =        "{16th IEEE International Conference on
                 Application-Specific Systems, Architectures, and
                 Processors: ASAP 2005: 23--25 July 2005, Samos,
                 Greece}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xiii + 419",
  year =         "2005",
  ISBN =         "0-7695-2407-9",
  ISBN-13 =      "978-0-7695-2407-8",
  LCCN =         "TK7874.6 .I58 2005",
  bibdate =      "Sun Mar 4 21:53:56 MST 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Application-Specific
                 Systems, Architectures, and Processors (16th: 2005:
                 Samos, Greece)",
  subject =      "Array processors; Congresses; Signal processing;
                 Digital techniques; Application specific integrated
                 circuits",
}


bibtype: proceedings
filename: elefunt.bib
label: zuCastell:2005:ILO
editor: Wolfgang zu Castell and Frank Filbir and Brigitte Forster
booktitle: Inzell lectures on orthogonal polynomials
title: Inzell lectures on orthogonal polynomials
publisher: Nova Science
address: Hauppauge, NY, USA
pages: x + 199
year: 2005
ISBN: 1-59454-108-6 OR 1594541086
ISBN13: 978-1-59454-108-7 OR 9781594541087
LCCN: QA404.5 .I595 2005
bibdate: Sat Oct 30 17:16:08 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; prodorbis.library.yale.edu:7090/voyager
bibtimestamp: 2010.10.30 17:16:08 MDT
series: Advances in the theory of special functions and orthogonal polynomials
subject: Orthogonal polynomials
acknowledgement: ack-nhfb
rawbooktitle: {Inzell lectures on orthogonal polynomials}
raweditor: Wolfgang zu Castell and Frank Filbir and Brigitte Forster
rawtitle: {Inzell lectures on orthogonal polynomials}
note:
Lectures from the Inzell Summer School on Orthogonal Polynomials, Harmonic Analysis, Approximation, and Applications, held in Inzell, Germany, September 17--21, 2001.

remark:
Canonical moments, orthogonal polynomials with applications to statistics / Holger Dette Discrete commutative hypergroups / Rupert Lasser Orthogonal polynomials and Banach algebras / Ryszard Szwarc Lecture notes on orthogonal polynomials of several variables / Yuan Xu

rawnote:
Lectures from the Inzell Summer School on Orthogonal Polynomials, Harmonic Analysis, Approximation, and Applications, held in Inzell, Germany, September 17--21, 2001.

entry:
@Proceedings{zuCastell:2005:ILO,
  editor =       "Wolfgang zu Castell and Frank Filbir and Brigitte
                 Forster",
  booktitle =    "{Inzell lectures on orthogonal polynomials}",
  title =        "{Inzell lectures on orthogonal polynomials}",
  publisher =    "Nova Science",
  address =      "Hauppauge, NY, USA",
  pages =        "x + 199",
  year =         "2005",
  ISBN =         "1-59454-108-6",
  ISBN-13 =      "978-1-59454-108-7",
  LCCN =         "QA404.5 .I595 2005",
  bibdate =      "Sat Oct 30 17:16:08 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  note =         "Lectures from the Inzell Summer School on Orthogonal
                 Polynomials, Harmonic Analysis, Approximation, and
                 Applications, held in Inzell, Germany, September
                 17--21, 2001.",
  series =       "Advances in the theory of special functions and
                 orthogonal polynomials",
  acknowledgement = ack-nhfb,
  remark =       "Canonical moments, orthogonal polynomials with
                 applications to statistics / Holger Dette \\
                 Discrete commutative hypergroups / Rupert Lasser \\
                 Orthogonal polynomials and Banach algebras / Ryszard
                 Szwarc \\
                 Lecture notes on orthogonal polynomials of several
                 variables / Yuan Xu",
  subject =      "Orthogonal polynomials",
}


bibtype: proceedings
filename: elefunt.bib
label: Anonymous:2006:PCR
editor: Anonymous
year: 2006
bibdate: Tue Jun 27 10:26:43 2006
bibsource: http://rnc7.loria.fr/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2006.06.27 10:26:43 ???
acknowledgement: ack-nhfb
raweditor: Anonymous
booktitle:
Proceedings of the 7th Conference on Real Numbers and Computers (RNC 7) LORIA, Nancy, France, July 10--12, 2006

title:
Proceedings of the 7th Conference on Real Numbers and Computers (RNC 7) LORIA, Nancy, France, July 10--12, 2006

rawbooktitle:
{Proceedings of the 7th Conference on Real Numbers and Computers (RNC 7) LORIA, Nancy, France, July 10--12, 2006}

rawtitle:
{Proceedings of the 7th Conference on Real Numbers and Computers (RNC 7) LORIA, Nancy, France, July 10--12, 2006}

entry:
@Proceedings{Anonymous:2006:PCR,
  editor =       "Anonymous",
  booktitle =    "{Proceedings of the 7th Conference on Real Numbers and
                 Computers (RNC 7) LORIA, Nancy, France, July 10--12,
                 2006}",
  title =        "{Proceedings of the 7th Conference on Real Numbers and
                 Computers (RNC 7) LORIA, Nancy, France, July 10--12,
                 2006}",
  publisher =    "????",
  address =      "????",
  pages =        "????",
  year =         "2006",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Jun 27 10:26:43 2006",
  bibsource =    "http://rnc7.loria.fr/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: elefunt.bib
label: Menezes:2006:PAS
editor: Ronaldo Menezes
publisher: pub-ACM
address: pub-ACM:adr
pages: 823
year: 2006
ISBN: 1-59593-315-8 (print) OR 1595933158 (print)
ISBN13: 978-1-59593-315-7 (print) OR 9781595933157 (print)
LCCN: QA75.5 A184 2006 E
bibdate: Sat Oct 9 15:04:24 MDT 2010
bibtimestamp: 2010.10.09 15:04:24 MDT
subject: Computer-assisted instruction; Congresses; Database management; Electronic data processing
acknowledgement: ack-nhfb
raweditor: Ronaldo Menezes
booktitle:
Proceedings of the 44th annual Southeast Regional Conference 2006: Melbourne, Florida, March 10--12, 2006

title:
Proceedings of the 44th annual Southeast Regional Conference 2006: Melbourne, Florida, March 10--12, 2006

bibsource:
fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

rawbooktitle:
{Proceedings of the 44th annual Southeast Regional Conference 2006: Melbourne, Florida, March 10--12, 2006}

rawtitle:
{Proceedings of the 44th annual Southeast Regional Conference 2006: Melbourne, Florida, March 10--12, 2006}

entry:
@Proceedings{Menezes:2006:PAS,
  editor =       "Ronaldo Menezes",
  booktitle =    "{Proceedings of the 44th annual Southeast Regional
                 Conference 2006: Melbourne, Florida, March 10--12,
                 2006}",
  title =        "{Proceedings of the 44th annual Southeast Regional
                 Conference 2006: Melbourne, Florida, March 10--12,
                 2006}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "823",
  year =         "2006",
  ISBN =         "1-59593-315-8 (print)",
  ISBN-13 =      "978-1-59593-315-7 (print)",
  LCCN =         "QA75.5 A184 2006 E",
  bibdate =      "Sat Oct 9 15:04:24 MDT 2010",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  subject =      "Computer-assisted instruction; Congresses; Database
                 management; Electronic data processing",
}


bibtype: proceedings
filename: elefunt.bib
label: Brown:2007:PIS
editor: C. W. Brown
publisher: pub-ACM
address: pub-ACM:adr
year: 2007
ISBN: 1-59593-743-9 (print), 1-59593-742-0 (CD-ROM) OR 1595937439 (print), 1595937420 (CDROM)
LCCN: QA76.5 S98 2007
bibdate: Fri Jun 20 08:53:37 2008
bibtimestamp: 2008.06.20 08:53:37 ???
note: ACM order number 505070.
acknowledgement: ack-nhfb
raweditor: C. W. Brown
rawnote: ACM order number 505070.
booktitle:
Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, July 29--August 1, 2007, University of Waterloo, Waterloo, Ontario, Canada

title:
Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, July 29--August 1, 2007, University of Waterloo, Waterloo, Ontario, Canada

ISBN13:
978-1-59593-743-8 (print), 978-1-59593-742-1 (CD-ROM) OR 9781595937438 (print), 9781595937421 (CDROM)

bibsource:
https://www.math.utah.edu/pub/tex/bib/axiom.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/maple-extract.bib

rawbooktitle:
{Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, July 29--August 1, 2007, University of Waterloo, Waterloo, Ontario, Canada}

rawtitle:
{Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, July 29--August 1, 2007, University of Waterloo, Waterloo, Ontario, Canada}

entry:
@Proceedings{Brown:2007:PIS,
  editor =       "C. W. Brown",
  booktitle =    "{Proceedings of the 2007 International Symposium on
                 Symbolic and Algebraic Computation, July 29--August 1,
                 2007, University of Waterloo, Waterloo, Ontario,
                 Canada}",
  title =        "{Proceedings of the 2007 International Symposium on
                 Symbolic and Algebraic Computation, July 29--August 1,
                 2007, University of Waterloo, Waterloo, Ontario,
                 Canada}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "????",
  year =         "2007",
  ISBN =         "1-59593-743-9 (print), 1-59593-742-0 (CD-ROM)",
  ISBN-13 =      "978-1-59593-743-8 (print), 978-1-59593-742-1
                 (CD-ROM)",
  LCCN =         "QA76.5 S98 2007",
  bibdate =      "Fri Jun 20 08:53:37 2008",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/axiom.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
  note =         "ACM order number 505070.",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: elefunt.bib
label: Holzapfel:2007:AGA
editor: Rolf-Peter Holzapfel and A. Muhammed Uludag and Masaaki Yoshida
volume: 235
publisher: pub-BIRKHAUSER
address: pub-BIRKHAUSER:adr
pages: viii + 437
year: 2007
ISBN: 3-7643-8283-X OR 376438283X
ISBN13: 978-3-7643-8283-4 OR 9783764382834
LCCN: QA245 .S86 2005
bibdate: Sat Oct 30 21:12:24 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2010.10.30 21:12:24 MDT
series: Progress in mathematics
subject: Algebra; Congresses.; Geometry, Algebraic; Congresses; Number theory
acknowledgement: ack-nhfb
raweditor: Rolf-Peter Holzapfel and A. Muhammed Uludag and Masaaki Yoshida
booktitle:
Arithmetic and geometry around hypergeometric functions: lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, Turkey, June 13--25, 2005

title:
Arithmetic and geometry around hypergeometric functions: lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, Turkey, June 13--25, 2005

URL:
http://www.loc.gov/catdir/enhancements/fy0913/2006939568-d.html; http://www.loc.gov/catdir/enhancements/fy0913/2006939568-t.html

rawbooktitle:
{Arithmetic and geometry around hypergeometric functions: lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, Turkey, June 13--25, 2005}

rawtitle:
{Arithmetic and geometry around hypergeometric functions: lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, Turkey, June 13--25, 2005}

entry:
@Proceedings{Holzapfel:2007:AGA,
  editor =       "Rolf-Peter Holzapfel and A. Muhammed Uludag and
                 Masaaki Yoshida",
  booktitle =    "{Arithmetic and geometry around hypergeometric
                 functions: lecture notes of a CIMPA Summer School held
                 at Galatasaray University, Istanbul, Turkey, June
                 13--25, 2005}",
  title =        "{Arithmetic and geometry around hypergeometric
                 functions: lecture notes of a CIMPA Summer School held
                 at Galatasaray University, Istanbul, Turkey, June
                 13--25, 2005}",
  volume =       "235",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "viii + 437",
  year =         "2007",
  ISBN =         "3-7643-8283-X",
  ISBN-13 =      "978-3-7643-8283-4",
  LCCN =         "QA245 .S86 2005",
  bibdate =      "Sat Oct 30 21:12:24 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Progress in mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0913/2006939568-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0913/2006939568-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Algebra; Congresses.; Geometry, Algebraic; Congresses;
                 Number theory",
}


bibtype: proceedings
filename: elefunt.bib
label: Iske:2007:AAP
editor: Armin Iske and Jeremy Levesley
booktitle: Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005
title: Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005
publisher: pub-SV
address: pub-SV:adr
pages: 300
year: 2007
DOI: https://doi.org/10.1007/978-3-540-46551-5
ISBN: 3-540-46551-0, 3-540-33283-9 OR 3540465510, 3540332839
ISBN13: 978-3-540-46551-5, 978-3-540-33283-1 OR 9783540465515, 9783540332831
LCCN: QA221 .A44 2007
bibdate: Thu Dec 1 09:41:19 MST 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.bibsys.no:2100/BIBSYS
bibtimestamp: 2011.12.01 09:41:19 MST
acknowledgement: ack-nhfb
rawbooktitle: {Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005}
raweditor: Armin Iske and Jeremy Levesley
rawtitle: {Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005}
subject:
Mathematics; Special Functions; Functions, special; Engineering mathematics; Mathematics of Computing; Approximations and Expansions; Computer science; Computational Mathematics and Numerical Analysis; Appl. Mathematics / Computational Methods of Engineering

entry:
@Proceedings{Iske:2007:AAP,
  editor =       "Armin Iske and Jeremy Levesley",
  booktitle =    "{Algorithms for Approximation: Proceedings of the 5th
                 International Conference, Chester, July 2005}",
  title =        "{Algorithms for Approximation: Proceedings of the 5th
                 International Conference, Chester, July 2005}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "300",
  year =         "2007",
  DOI =          "https://doi.org/10.1007/978-3-540-46551-5",
  ISBN =         "3-540-46551-0, 3-540-33283-9",
  ISBN-13 =      "978-3-540-46551-5, 978-3-540-33283-1",
  LCCN =         "QA221 .A44 2007",
  bibdate =      "Thu Dec 1 09:41:19 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.bibsys.no:2100/BIBSYS",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Special Functions; Functions, special;
                 Engineering mathematics; Mathematics of Computing;
                 Approximations and Expansions; Computer science;
                 Computational Mathematics and Numerical Analysis; Appl.
                 Mathematics / Computational Methods of Engineering",
}


bibtype: proceedings
filename: elefunt.bib
label: Kornerup:2007:PIS
editor: Peter Kornerup and Jean-Michel Muller
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xii + 269
year: 2007
ISBN: 0-7695-2854-6 OR 0769528546
ISBN13: 978-0-7695-2854-0 OR 9780769528540
ISSN: 1063-6889 OR 10636889
LCCN: QA76.9.C62
bibdate: Tue Jun 27 10:26:43 2006
bibtimestamp: 2006.06.27 10:26:43 ???
URL: http://www.lirmm.fr/arith18/
keywords: ARITH-18
acknowledgement: ack-nhfb
raweditor: Peter Kornerup and Jean-Michel Muller
booktitle:
Proceedings of the 18th IEEE Symposium on Computer Arithmetic, June 25--27, 2007, Montpellier, France

title:
Proceedings of the 18th IEEE Symposium on Computer Arithmetic, June 25--27, 2007, Montpellier, France

bibsource:
http://www.lirmm.fr/arith18/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; odin2.bib.sdu.dk:210/Horizon

rawbooktitle:
{Proceedings of the 18th IEEE Symposium on Computer Arithmetic, June 25--27, 2007, Montpellier, France}

rawtitle:
{Proceedings of the 18th IEEE Symposium on Computer Arithmetic, June 25--27, 2007, Montpellier, France}

entry:
@Proceedings{Kornerup:2007:PIS,
  editor =       "Peter Kornerup and Jean-Michel Muller",
  booktitle =    "{Proceedings of the 18th IEEE Symposium on Computer
                 Arithmetic, June 25--27, 2007, Montpellier, France}",
  title =        "{Proceedings of the 18th IEEE Symposium on Computer
                 Arithmetic, June 25--27, 2007, Montpellier, France}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xii + 269",
  year =         "2007",
  ISBN =         "0-7695-2854-6",
  ISBN-13 =      "978-0-7695-2854-0",
  ISSN =         "1063-6889",
  LCCN =         "QA76.9.C62",
  bibdate =      "Tue Jun 27 10:26:43 2006",
  bibsource =    "http://www.lirmm.fr/arith18/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 odin2.bib.sdu.dk:210/Horizon",
  URL =          "http://www.lirmm.fr/arith18/",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-18",
}


bibtype: proceedings
filename: elefunt.bib
label: Dominici:2008:SFO
editor: Diego Dominici and Robert S. Maier
volume: 471
publisher: pub-AMS
address: pub-AMS:adr
pages: v + 218
year: 2008
ISBN: 0-8218-4650-7 OR 0821846507
ISBN13: 978-0-8218-4650-6 OR 9780821846506
bibdate: Sat Oct 30 17:30:10 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.bibsys.no:2100/BIBSYS
bibtimestamp: 2010.10.30 17:30:10 MDT
series: Contemporary mathematics
acknowledgement: ack-nhfb
raweditor: Diego Dominici and Robert S. Maier
booktitle:
Special functions and orthogonal polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials, April 21--22, 2007, Tucson, Arizona

title:
Special functions and orthogonal polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials, April 21--22, 2007, Tucson, Arizona

rawbooktitle:
{Special functions and orthogonal polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials, April 21--22, 2007, Tucson, Arizona}

rawtitle:
{Special functions and orthogonal polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials, April 21--22, 2007, Tucson, Arizona}

entry:
@Proceedings{Dominici:2008:SFO,
  editor =       "Diego Dominici and Robert S. Maier",
  booktitle =    "{Special functions and orthogonal polynomials: AMS
                 Special Session on Special Functions and Orthogonal
                 Polynomials, April 21--22, 2007, Tucson, Arizona}",
  title =        "{Special functions and orthogonal polynomials: AMS
                 Special Session on Special Functions and Orthogonal
                 Polynomials, April 21--22, 2007, Tucson, Arizona}",
  volume =       "471",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "v + 218",
  year =         "2008",
  ISBN =         "0-8218-4650-7",
  ISBN-13 =      "978-0-8218-4650-6",
  LCCN =         "????",
  bibdate =      "Sat Oct 30 17:30:10 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.bibsys.no:2100/BIBSYS",
  series =       "Contemporary mathematics",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: elefunt.bib
label: IEEE:2008:ICA
editor: IEEE
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xiv + 309 + 12
year: 2008
ISBN: 1-4244-1897-6 (paperback), 1-4244-1898-4 OR 1424418976 (paperback), 1424418984
ISBN13: 978-1-4244-1897-8 (paperback), 978-1-4244-1898-5 OR 9781424418978 (paperback), 9781424418985
bibdate: Mon Feb 10 07:31:38 MST 2020
bibtimestamp: 2020.02.10 07:31:38 MST
note: IEEE catalog number CFP08063-PRT.
remark: Kongress auch zitiert als: ASAP 08. Parallel als Online-Ausg. erschienen. ASAP 08.
acknowledgement: ack-nhfb
raweditor: {IEEE}
rawnote: IEEE catalog number CFP08063-PRT.
booktitle:
2008 International Conference on Application-Specific Systems, Architectures and Processors: Leuven, Belgium, 2--4 July 2008

title:
2008 International Conference on Application-Specific Systems, Architectures and Processors: Leuven, Belgium, 2--4 July 2008

bibsource:
fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib

URL:
http://ieeexplore.ieee.org/servlet/opac?punumber=4569858; http://www.gbv.de/dms/tib-ub-hannover/631855815.pdf

TOC:
ASAP08 Conference proceedings / c1--c1 / doi: 10.1109/ASAP.2008.4580199 ASAP08 Conference proceedings / c2--c2 / doi: 10.1109/ASAP.2008.4580200 Frontmatter and table of contents / c1--xiii / doi: 10.1109/ASAP.2008.4580202 ASAP Organizing and Steering Committees / ix ASAP Technical Technical Program Committee / x Keynote 1: Security and Opportunities for Application-Specific Processors / Ruby B. Lee / xii Keynote 2: Art of of Application-Specific Processor Design: Great Artists use Good Tools / Gert Goossens / xiv Session 1: Application-Specific Processor Instruction Sets / 1 Copyright notice / i--i / doi: 10.1109/ASAP.2008.4580197 Copyright notice / ii--ii / doi: 10.1109/ASAP.2008.4580198 K. Atasu, O. Mencer, W. Luk, C. Ozturan and G. Dundar / Fast custom instruction identification by convex subgraph enumeration / 1--6 / doi: 10.1109/ASAP.2008.4580145 Y. Hilewitz, C. Lauradoux and R. B. Lee / Bit matrix multiplication in commodity processors / 7--12 / doi: 10.1109/ASAP.2008.4580146 M. Alle et al. / Synthesis of application accelerators on Runtime Reconfigurable Hardware / 13--18 / doi: 10.1109/ASAP.2008.4580147 A. Amaricai, M. Vladutiu, M. Udrescu, L. Prodan and O. Boncalo / Floating point multiplication rounding schemes for interval arithmetic / 19--24 / doi: 10.1109/ASAP.2008.4580148 S. Balasubramanian, H. W. Carter, A. Bogdanov, A. Rupp and Jintai Ding / Fast multivariate signature generation in hardware: The case of rainbow / 25--30 / doi: 10.1109/ASAP.2008.4580149 M. Hosseinabady and J. Nunez-Yanez / Fault-tolerant dynamically reconfigurable NoC-based SoC / 31--36 / doi: 10.1109/ASAP.2008.4580150 T. Lorunser et al. / Security Processor with Quantum Key Distribution / 37--42 / doi: 10.1109/ASAP.2008.4580151 P. K. Meher and J. C. Patra / Fully-pipelined efficient architectures for FPGA realization of discrete Hadamard transform / 43--48 / doi: 10.1109/ASAP.2008.4580152 R. Rajore, G. Garga, H. S. Jamadagni and S. K. Nandy / Reconfigurable Viterbi decoder on mesh connected multiprocessor architecture / 49--54 / doi: 10.1109/ASAP.2008.4580153 T. Ramdas, G. K. Egan, D. Abramson and K. K. Baldridge / Run-time thread sorting to expose data-level parallelism / 55--60 / doi: 10.1109/ASAP.2008.4580154 S. Jovanovic, C. Tanougast and S. Weber / A New High-Performance Scalable Dynamic Interconnection for FPGA-based Reconfigurable Systems / 61--66 / doi: 10.1109/ASAP.2008.4580155 D. Dickin and L. Shannon / Extending the SIMPPL SoC architectural framework to support application-specific architectures on multi-FPGA platforms / 67--72 / doi: 10.1109/ASAP.2008.4580156 A. E. Kiasari, S. Hessabi and H. Sarbazi-Azad / PERMAP: A performance-aware mapping for application-specific SoCs / 73--78 / doi: 10.1109/ASAP.2008.4580157 A. C. Atici, L. Batina, Junfeng Fan, I. Verbauwhede and S. Berna Ors Yalcin / Low-cost implementations of NTRU for pervasive security / 79--84 / doi: 10.1109/ASAP.2008.4580158 M. Knezzevic, K. Sakiyama, Y. K. Lee and I. Verbauwhede / On the high-throughput implementation of RIPEMD-160 hash algorithm / 85--90 / doi: 10.1109/ASAP.2008.4580159 Wang Haixin, Bai Guoqiang and Chen Hongyi / Zodiac: System architecture implementation for a high-performance Network Security Processor / 91--96 / doi: 10.1109/ASAP.2008.4580160 P. K. Meher / Efficient systolization of cyclic convolution for systolic implementation of sinusoidal transforms / 97--101 / doi: 10.1109/ASAP.2008.4580161 D. B. Thomas and W. Luk / Resource efficient generators for the floating-point uniform and exponential distributions / 102--107 / doi: 10.1109/ASAP.2008.4580162 I. L. Dalal, D. Stefan and J. Harwayne-Gidansky / Low discrepancy sequences for Monte Carlo simulations on reconfigurable platforms / 108--113 / doi: 10.1109/ASAP.2008.4580163 Y. Vanderperren and W. Dehaene / A subsampling pulsed UWB demodulator based on a flexible complex SVD / 114--119 / doi: 10.1109/ASAP.2008.4580164 J. Divyasree, H. Rajashekar and K. Varghese / Dynamically reconfigurable regular expression matching architecture / 120--125 / doi: 10.1109/ASAP.2008.4580165 J. Khan, S. Niar, A. Menhaj, Y. Elhillali and J. L. Dekeyser / An MPSoC architecture for the Multiple Target Tracking application in driver assistant system / 126--131 / doi: 10.1109/ASAP.2008.4580166 Wangyuan Zhang and Tao Li / Managing multi-core soft-error reliability through utility-driven cross domain optimization / 132--137 / doi: 10.1109/ASAP.2008.4580167 S. Braganza and M. Leeser / An efficient implementation of a phase unwrapping kernel on reconfigurable hardware / 138--143 / doi: 10.1109/ASAP.2008.4580168 H. Flatt, S. Blume, S. Hesselbarth, T. Schunemann and P. Pirsch / A parallel hardware architecture for connected component labeling based on fast label merging / 144--149 / doi: 10.1109/ASAP.2008.4580169 Yuki Kobayashi, M. Jayapala, P. Raghavan, F. Catthoor and Masaharu Imai / Operation shuffling over cycle boundaries for low energy L0 clustering / 150--155 / doi: 10.1109/ASAP.2008.4580170 V. Kundeti, Yunsi Fei and S. Rajasekaran / An efficient digital circuit for implementing Sequence Alignment algorithm in an extended processor / 156--161 / doi: 10.1109/ASAP.2008.4580171 B. K. Mohanty and P. K. Meher / Concurrent systolic architecture for high-throughput implementation of 3-dimensional discrete wavelet transform / 162--166 / doi: 10.1109/ASAP.2008.4580172 S. Mirzaei, A. Irturk, R. Kastner, B. T. Weals and R. E. Cagley / Design space exploration of a cooperative MIMO receiver for reconfigurable architectures / 167--172 / doi: 10.1109/ASAP.2008.4580173 Mao Nakajima and Minoru Watanabe / Dynamic holographic reconfiguration on a four-context ODRGA / 173--178 / doi: 10.1109/ASAP.2008.4580174 F. Pardo, P. Lopez and D. Cabello / FPGA-based hardware accelerator of the heat equation with applications on infrared thermography / 179--184 / doi: 10.1109/ASAP.2008.4580175 M. Rahmati, M. S. Sadri and M. A. Naeini / FPGA based singular value decomposition for image processing applications / 185--190 / doi: 10.1109/ASAP.2008.4580176 A. Jacob, J. Buhler and R. D. Chamberlain / Accelerating Nussinov RNA secondary structure prediction with systolic arrays on FPGAs / 191--196 / doi: 10.1109/ASAP.2008.4580177 J. Lee, L. Shannon, M. J. Yedlin and G. F. Margrave / A multi-FPGA application-specific architecture for accelerating a floating point Fourier Integral Operator / 197--202 / doi: 10.1109/ASAP.2008.4580178 K. F. C. Yiu, Chun Hok Ho, N. Grbric, Yao Lu, Xiaoxiang Shi and W. Luk / Reconfigurable acceleration of microphone array algorithms for speech enhancement / 203--208 / doi: 10.1109/ASAP.2008.4580179 Yang Sun, Yuming Zhu, M. Goel and J. R. Cavallaro / Configurable and scalable high throughput turbo decoder architecture for multiple 4G wireless standards / 209--214 / doi: 10.1109/ASAP.2008.4580180 M. B. S. Tavares, S. Kunze, E. Matus and G. P. Fettweis / Architecture and VLSI realization of a high-speed programmable decoder for LDPC convolutional codes / 215--220 / doi: 10.1109/ASAP.2008.4580181 D. Llorente, K. Karras, T. Wild and A. Herkersdorf / Buffer allocation for advanced packet segmentation in Network Processors / 221--226 / doi: 10.1109/ASAP.2008.4580182 A. Vazquez and E. Antelo / New insights on Ling adders / 227--232 / doi: 10.1109/ASAP.2008.4580183 N. Brisebarre, F. de Dinechin and J. Muller / Integer and floating-point constant multipliers for FPGAs / 239--244 / doi: 10.1109/ASAP.2008.4580184 N. Brisebarre, S. Chevillard, M. D. Ercegovac, J. Muller and S. Torres / An efficient method for evaluating polynomial and rational function approximations / 233--238 / doi: 10.1109/ASAP.2008.4580185 A. Garcia, M. Berekovic and T. Vander Aa / Mapping of the AES cryptographic algorithm on a Coarse-Grain reconfigurable array processor / 245--250 / doi: 10.1109/ASAP.2008.4580186 J. Nimmy et al. / RECONNECT: A NoC for polymorphic ASICs using a low overhead single cycle router / 251--256 / doi: 10.1109/ASAP.2008.4580187 M. Mbaye, N. Belanger, Y. Savaria and S. Pierre / Loop-oriented metrics for exploring an application-specific architecture design-space / 257--262 / doi: 10.1109/ASAP.2008.4580188 S. K. Dash and T. Srikanthan / Rapid estimation of instruction cache hit rates using loop profiling / 263--268 / doi: 10.1109/ASAP.2008.4580189 Xuan Guan and Yunsi Fei / Reducing power consumption of embedded processors through register file partitioning and compiler support / 269--274 / doi: 10.1109/ASAP.2008.4580190 A. Tumeo, M. Monchiero, G. Palermo, F. Ferrandi and D. Sciuto / Lightweight DMA management mechanisms for multiprocessors on FPGA / 275--280 / doi: 10.1109/ASAP.2008.4580191 P. de Langen and B. Juurlink / Memory copies in multi-level memory systems / 281--286 / doi: 10.1109/ASAP.2008.4580192 R. Adrsha, Mythri, S. K. Nandy and R. Narayan / Architecture of a polymorphic ASIC for interoperability across multi-mode H.264 decoders / 287--292 / doi: 10.1109/ASAP.2008.4580193 R. R. Osorio and J. D. Bruguera / An FPGA architecture for CABAC decoding in manycore systems / 293--298 / doi: 10.1109/ASAP.2008.4580194 A. Guntoro and M. Glesner / Novel approach on lifting-based DWT and IDWT processor with multi-context configuration to support different wavelet filters / 299--304 / doi: 10.1109/ASAP.2008.4580195 B. K. Mohanty and P. K. Meher / Throughput-scalable hybrid-pipeline architecture for multilevel lifting 2-D DWT of JPEG 2000 coder / 305--309 / doi: 10.1109/ASAP.2008.4580196 Author index / 310--321 / doi: 10.1109/ASAP.2008.4580201

rawbooktitle:
{2008 International Conference on Application-Specific Systems, Architectures and Processors: Leuven, Belgium, 2--4 July 2008}

rawtitle:
{2008 International Conference on Application-Specific Systems, Architectures and Processors: Leuven, Belgium, 2--4 July 2008}

rawTOC:
ASAP08 Conference proceedings / c1--c1 / doi: 10.1109/ASAP.2008.4580199 \\ ASAP08 Conference proceedings / c2--c2 / doi: 10.1109/ASAP.2008.4580200 \\ Frontmatter and table of contents / c1--xiii / doi: 10.1109/ASAP.2008.4580202 \\ ASAP Organizing and Steering Committees / ix \\ ASAP Technical Technical Program Committee / x \\ Keynote 1: Security and Opportunities for Application-Specific Processors / Ruby B. Lee / xii \\ Keynote 2: Art of of Application-Specific Processor Design: Great Artists use Good Tools / Gert Goossens / xiv \\ Session 1: Application-Specific Processor Instruction Sets / 1 \\ Copyright notice / i--i / doi: 10.1109/ASAP.2008.4580197 \\ Copyright notice / ii--ii / doi: 10.1109/ASAP.2008.4580198 \\ K. Atasu, O. Mencer, W. Luk, C. Ozturan and G. Dundar / Fast custom instruction identification by convex subgraph enumeration / 1--6 / doi: 10.1109/ASAP.2008.4580145 \\ Y. Hilewitz, C. Lauradoux and R. B. Lee / Bit matrix multiplication in commodity processors / 7--12 / doi: 10.1109/ASAP.2008.4580146 \\ M. Alle et al. / Synthesis of application accelerators on Runtime Reconfigurable Hardware / 13--18 / doi: 10.1109/ASAP.2008.4580147 \\ A. Amaricai, M. Vladutiu, M. Udrescu, L. Prodan and O. Boncalo / Floating point multiplication rounding schemes for interval arithmetic / 19--24 / doi: 10.1109/ASAP.2008.4580148 \\ S. Balasubramanian, H. W. Carter, A. Bogdanov, A. Rupp and Jintai Ding / Fast multivariate signature generation in hardware: The case of rainbow / 25--30 / doi: 10.1109/ASAP.2008.4580149 \\ M. Hosseinabady and J. Nunez-Yanez / Fault-tolerant dynamically reconfigurable NoC-based SoC / 31--36 / doi: 10.1109/ASAP.2008.4580150 \\ T. Lorunser et al. / Security Processor with Quantum Key Distribution / 37--42 / doi: 10.1109/ASAP.2008.4580151 \\ P. K. Meher and J. C. Patra / Fully-pipelined efficient architectures for FPGA realization of discrete Hadamard transform / 43--48 / doi: 10.1109/ASAP.2008.4580152 \\ R. Rajore, G. Garga, H. S. Jamadagni and S. K. Nandy / Reconfigurable Viterbi decoder on mesh connected multiprocessor architecture / 49--54 / doi: 10.1109/ASAP.2008.4580153 \\ T. Ramdas, G. K. Egan, D. Abramson and K. K. Baldridge / Run-time thread sorting to expose data-level parallelism / 55--60 / doi: 10.1109/ASAP.2008.4580154 \\ S. Jovanovic, C. Tanougast and S. Weber / A New High-Performance Scalable Dynamic Interconnection for FPGA-based Reconfigurable Systems / 61--66 / doi: 10.1109/ASAP.2008.4580155 \\ D. Dickin and L. Shannon / Extending the SIMPPL SoC architectural framework to support application-specific architectures on multi-FPGA platforms / 67--72 / doi: 10.1109/ASAP.2008.4580156 \\ A. E. Kiasari, S. Hessabi and H. Sarbazi-Azad / PERMAP: A performance-aware mapping for application-specific SoCs / 73--78 / doi: 10.1109/ASAP.2008.4580157 \\ A. C. Atici, L. Batina, Junfeng Fan, I. Verbauwhede and S. Berna Ors Yalcin / Low-cost implementations of NTRU for pervasive security / 79--84 / doi: 10.1109/ASAP.2008.4580158 \\ M. Knezzevic, K. Sakiyama, Y. K. Lee and I. Verbauwhede / On the high-throughput implementation of RIPEMD-160 hash algorithm / 85--90 / doi: 10.1109/ASAP.2008.4580159 \\ Wang Haixin, Bai Guoqiang and Chen Hongyi / Zodiac: System architecture implementation for a high-performance Network Security Processor / 91--96 / doi: 10.1109/ASAP.2008.4580160 \\ P. K. Meher / Efficient systolization of cyclic convolution for systolic implementation of sinusoidal transforms / 97--101 / doi: 10.1109/ASAP.2008.4580161 \\ D. B. Thomas and W. Luk / Resource efficient generators for the floating-point uniform and exponential distributions / 102--107 / doi: 10.1109/ASAP.2008.4580162 \\ I. L. Dalal, D. Stefan and J. Harwayne-Gidansky / Low discrepancy sequences for Monte Carlo simulations on reconfigurable platforms / 108--113 / doi: 10.1109/ASAP.2008.4580163 \\ Y. Vanderperren and W. Dehaene / A subsampling pulsed UWB demodulator based on a flexible complex SVD / 114--119 / doi: 10.1109/ASAP.2008.4580164 \\ J. Divyasree, H. Rajashekar and K. Varghese / Dynamically reconfigurable regular expression matching architecture / 120--125 / doi: 10.1109/ASAP.2008.4580165 \\ J. Khan, S. Niar, A. Menhaj, Y. Elhillali and J. L. Dekeyser / An MPSoC architecture for the Multiple Target Tracking application in driver assistant system / 126--131 / doi: 10.1109/ASAP.2008.4580166 \\ Wangyuan Zhang and Tao Li / Managing multi-core soft-error reliability through utility-driven cross domain optimization / 132--137 / doi: 10.1109/ASAP.2008.4580167 \\ S. Braganza and M. Leeser / An efficient implementation of a phase unwrapping kernel on reconfigurable hardware / 138--143 / doi: 10.1109/ASAP.2008.4580168 \\ H. Flatt, S. Blume, S. Hesselbarth, T. Schunemann and P. Pirsch / A parallel hardware architecture for connected component labeling based on fast label merging / 144--149 / doi: 10.1109/ASAP.2008.4580169 \\ Yuki Kobayashi, M. Jayapala, P. Raghavan, F. Catthoor and Masaharu Imai / Operation shuffling over cycle boundaries for low energy L0 clustering / 150--155 / doi: 10.1109/ASAP.2008.4580170 \\ V. Kundeti, Yunsi Fei and S. Rajasekaran / An efficient digital circuit for implementing Sequence Alignment algorithm in an extended processor / 156--161 / doi: 10.1109/ASAP.2008.4580171 \\ B. K. Mohanty and P. K. Meher / Concurrent systolic architecture for high-throughput implementation of 3-dimensional discrete wavelet transform / 162--166 / doi: 10.1109/ASAP.2008.4580172 \\ S. Mirzaei, A. Irturk, R. Kastner, B. T. Weals and R. E. Cagley / Design space exploration of a cooperative MIMO receiver for reconfigurable architectures / 167--172 / doi: 10.1109/ASAP.2008.4580173 \\ Mao Nakajima and Minoru Watanabe / Dynamic holographic reconfiguration on a four-context ODRGA / 173--178 / doi: 10.1109/ASAP.2008.4580174 \\ F. Pardo, P. Lopez and D. Cabello / FPGA-based hardware accelerator of the heat equation with applications on infrared thermography / 179--184 / doi: 10.1109/ASAP.2008.4580175 \\ M. Rahmati, M. S. Sadri and M. A. Naeini / FPGA based singular value decomposition for image processing applications / 185--190 / doi: 10.1109/ASAP.2008.4580176 \\ A. Jacob, J. Buhler and R. D. Chamberlain / Accelerating Nussinov RNA secondary structure prediction with systolic arrays on FPGAs / 191--196 / doi: 10.1109/ASAP.2008.4580177 \\ J. Lee, L. Shannon, M. J. Yedlin and G. F. Margrave / A multi-FPGA application-specific architecture for accelerating a floating point Fourier Integral Operator / 197--202 / doi: 10.1109/ASAP.2008.4580178 \\ K. F. C. Yiu, Chun Hok Ho, N. Grbric, Yao Lu, Xiaoxiang Shi and W. Luk / Reconfigurable acceleration of microphone array algorithms for speech enhancement / 203--208 / doi: 10.1109/ASAP.2008.4580179 \\ Yang Sun, Yuming Zhu, M. Goel and J. R. Cavallaro / Configurable and scalable high throughput turbo decoder architecture for multiple 4G wireless standards / 209--214 / doi: 10.1109/ASAP.2008.4580180 \\ M. B. S. Tavares, S. Kunze, E. Matus and G. P. Fettweis / Architecture and VLSI realization of a high-speed programmable decoder for LDPC convolutional codes / 215--220 / doi: 10.1109/ASAP.2008.4580181 \\ D. Llorente, K. Karras, T. Wild and A. Herkersdorf / Buffer allocation for advanced packet segmentation in Network Processors / 221--226 / doi: 10.1109/ASAP.2008.4580182 \\ A. Vazquez and E. Antelo / New insights on Ling adders / 227--232 / doi: 10.1109/ASAP.2008.4580183 \\ N. Brisebarre, F. de Dinechin and J. Muller / Integer and floating-point constant multipliers for FPGAs / 239--244 / doi: 10.1109/ASAP.2008.4580184 \\ N. Brisebarre, S. Chevillard, M. D. Ercegovac, J. Muller and S. Torres / An efficient method for evaluating polynomial and rational function approximations / 233--238 / doi: 10.1109/ASAP.2008.4580185 \\ A. Garcia, M. Berekovic and T. Vander Aa / Mapping of the AES cryptographic algorithm on a Coarse-Grain reconfigurable array processor / 245--250 / doi: 10.1109/ASAP.2008.4580186 \\ J. Nimmy et al. / RECONNECT: A NoC for polymorphic ASICs using a low overhead single cycle router / 251--256 / doi: 10.1109/ASAP.2008.4580187 \\ M. Mbaye, N. Belanger, Y. Savaria and S. Pierre / Loop-oriented metrics for exploring an application-specific architecture design-space / 257--262 / doi: 10.1109/ASAP.2008.4580188 \\ S. K. Dash and T. Srikanthan / Rapid estimation of instruction cache hit rates using loop profiling / 263--268 / doi: 10.1109/ASAP.2008.4580189 \\ Xuan Guan and Yunsi Fei / Reducing power consumption of embedded processors through register file partitioning and compiler support / 269--274 / doi: 10.1109/ASAP.2008.4580190 \\ A. Tumeo, M. Monchiero, G. Palermo, F. Ferrandi and D. Sciuto / Lightweight DMA management mechanisms for multiprocessors on FPGA / 275--280 / doi: 10.1109/ASAP.2008.4580191 \\ P. de Langen and B. Juurlink / Memory copies in multi-level memory systems / 281--286 / doi: 10.1109/ASAP.2008.4580192 \\ R. Adrsha, Mythri, S. K. Nandy and R. Narayan / Architecture of a polymorphic ASIC for interoperability across multi-mode H.264 decoders / 287--292 / doi: 10.1109/ASAP.2008.4580193 \\ R. R. Osorio and J. D. Bruguera / An FPGA architecture for CABAC decoding in manycore systems / 293--298 / doi: 10.1109/ASAP.2008.4580194 \\ A. Guntoro and M. Glesner / Novel approach on lifting-based DWT and IDWT processor with multi-context configuration to support different wavelet filters / 299--304 / doi: 10.1109/ASAP.2008.4580195 \\ B. K. Mohanty and P. K. Meher / Throughput-scalable hybrid-pipeline architecture for multilevel lifting 2-D DWT of JPEG 2000 coder / 305--309 / doi: 10.1109/ASAP.2008.4580196 \\ Author index / 310--321 / doi: 10.1109/ASAP.2008.4580201

entry:
@Proceedings{IEEE:2008:ICA,
  editor =       "{IEEE}",
  booktitle =    "{2008 International Conference on Application-Specific
                 Systems, Architectures and Processors: Leuven, Belgium,
                 2--4 July 2008}",
  title =        "{2008 International Conference on Application-Specific
                 Systems, Architectures and Processors: Leuven, Belgium,
                 2--4 July 2008}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xiv + 309 + 12",
  year =         "2008",
  ISBN =         "1-4244-1897-6 (paperback), 1-4244-1898-4",
  ISBN-13 =      "978-1-4244-1897-8 (paperback), 978-1-4244-1898-5",
  LCCN =         "????",
  bibdate =      "Mon Feb 10 07:31:38 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib",
  note =         "IEEE catalog number CFP08063-PRT.",
  URL =          "http://ieeexplore.ieee.org/servlet/opac?punumber=4569858;
                 http://www.gbv.de/dms/tib-ub-hannover/631855815.pdf",
  acknowledgement = ack-nhfb,
  remark =       "Kongress auch zitiert als: ASAP 08. Parallel als
                 Online-Ausg. erschienen. ASAP 08.",
  tableofcontents = "ASAP08 Conference proceedings / c1--c1 / doi:
                 10.1109/ASAP.2008.4580199 \\
                 ASAP08 Conference proceedings / c2--c2 / doi:
                 10.1109/ASAP.2008.4580200 \\
                 Frontmatter and table of contents / c1--xiii / doi:
                 10.1109/ASAP.2008.4580202 \\
                 ASAP Organizing and Steering Committees / ix \\
                 ASAP Technical Technical Program Committee / x \\
                 Keynote 1: Security and Opportunities for
                 Application-Specific Processors / Ruby B. Lee / xii \\
                 Keynote 2: Art of of Application-Specific Processor
                 Design: Great Artists use Good Tools / Gert Goossens /
                 xiv \\
                 Session 1: Application-Specific Processor Instruction
                 Sets / 1 \\
                 Copyright notice / i--i / doi:
                 10.1109/ASAP.2008.4580197 \\
                 Copyright notice / ii--ii / doi:
                 10.1109/ASAP.2008.4580198 \\
                 K. Atasu, O. Mencer, W. Luk, C. Ozturan and G. Dundar /
                 Fast custom instruction identification by convex
                 subgraph enumeration / 1--6 / doi:
                 10.1109/ASAP.2008.4580145 \\
                 Y. Hilewitz, C. Lauradoux and R. B. Lee / Bit matrix
                 multiplication in commodity processors / 7--12 / doi:
                 10.1109/ASAP.2008.4580146 \\
                 M. Alle et al. / Synthesis of application accelerators
                 on Runtime Reconfigurable Hardware / 13--18 / doi:
                 10.1109/ASAP.2008.4580147 \\
                 A. Amaricai, M. Vladutiu, M. Udrescu, L. Prodan and O.
                 Boncalo / Floating point multiplication rounding
                 schemes for interval arithmetic / 19--24 / doi:
                 10.1109/ASAP.2008.4580148 \\
                 S. Balasubramanian, H. W. Carter, A. Bogdanov, A. Rupp
                 and Jintai Ding / Fast multivariate signature
                 generation in hardware: The case of rainbow / 25--30 /
                 doi: 10.1109/ASAP.2008.4580149 \\
                 M. Hosseinabady and J. Nunez-Yanez / Fault-tolerant
                 dynamically reconfigurable NoC-based SoC / 31--36 /
                 doi: 10.1109/ASAP.2008.4580150 \\
                 T. Lorunser et al. / Security Processor with Quantum
                 Key Distribution / 37--42 / doi:
                 10.1109/ASAP.2008.4580151 \\
                 P. K. Meher and J. C. Patra / Fully-pipelined efficient
                 architectures for FPGA realization of discrete Hadamard
                 transform / 43--48 / doi: 10.1109/ASAP.2008.4580152 \\
                 R. Rajore, G. Garga, H. S. Jamadagni and S. K. Nandy /
                 Reconfigurable Viterbi decoder on mesh connected
                 multiprocessor architecture / 49--54 / doi:
                 10.1109/ASAP.2008.4580153 \\
                 T. Ramdas, G. K. Egan, D. Abramson and K. K. Baldridge
                 / Run-time thread sorting to expose data-level
                 parallelism / 55--60 / doi: 10.1109/ASAP.2008.4580154
                 \\
                 S. Jovanovic, C. Tanougast and S. Weber / A New
                 High-Performance Scalable Dynamic Interconnection for
                 FPGA-based Reconfigurable Systems / 61--66 / doi:
                 10.1109/ASAP.2008.4580155 \\
                 D. Dickin and L. Shannon / Extending the SIMPPL SoC
                 architectural framework to support application-specific
                 architectures on multi-FPGA platforms / 67--72 / doi:
                 10.1109/ASAP.2008.4580156 \\
                 A. E. Kiasari, S. Hessabi and H. Sarbazi-Azad / PERMAP:
                 A performance-aware mapping for application-specific
                 SoCs / 73--78 / doi: 10.1109/ASAP.2008.4580157 \\
                 A. C. Atici, L. Batina, Junfeng Fan, I. Verbauwhede and
                 S. Berna Ors Yalcin / Low-cost implementations of NTRU
                 for pervasive security / 79--84 / doi:
                 10.1109/ASAP.2008.4580158 \\
                 M. Knezzevic, K. Sakiyama, Y. K. Lee and I. Verbauwhede
                 / On the high-throughput implementation of RIPEMD-160
                 hash algorithm / 85--90 / doi:
                 10.1109/ASAP.2008.4580159 \\
                 Wang Haixin, Bai Guoqiang and Chen Hongyi / Zodiac:
                 System architecture implementation for a
                 high-performance Network Security Processor / 91--96 /
                 doi: 10.1109/ASAP.2008.4580160 \\
                 P. K. Meher / Efficient systolization of cyclic
                 convolution for systolic implementation of sinusoidal
                 transforms / 97--101 / doi: 10.1109/ASAP.2008.4580161
                 \\
                 D. B. Thomas and W. Luk / Resource efficient generators
                 for the floating-point uniform and exponential
                 distributions / 102--107 / doi:
                 10.1109/ASAP.2008.4580162 \\
                 I. L. Dalal, D. Stefan and J. Harwayne-Gidansky / Low
                 discrepancy sequences for Monte Carlo simulations on
                 reconfigurable platforms / 108--113 / doi:
                 10.1109/ASAP.2008.4580163 \\
                 Y. Vanderperren and W. Dehaene / A subsampling pulsed
                 UWB demodulator based on a flexible complex SVD /
                 114--119 / doi: 10.1109/ASAP.2008.4580164 \\
                 J. Divyasree, H. Rajashekar and K. Varghese /
                 Dynamically reconfigurable regular expression matching
                 architecture / 120--125 / doi:
                 10.1109/ASAP.2008.4580165 \\
                 J. Khan, S. Niar, A. Menhaj, Y. Elhillali and J. L.
                 Dekeyser / An MPSoC architecture for the Multiple
                 Target Tracking application in driver assistant system
                 / 126--131 / doi: 10.1109/ASAP.2008.4580166 \\
                 Wangyuan Zhang and Tao Li / Managing multi-core
                 soft-error reliability through utility-driven cross
                 domain optimization / 132--137 / doi:
                 10.1109/ASAP.2008.4580167 \\
                 S. Braganza and M. Leeser / An efficient implementation
                 of a phase unwrapping kernel on reconfigurable hardware
                 / 138--143 / doi: 10.1109/ASAP.2008.4580168 \\
                 H. Flatt, S. Blume, S. Hesselbarth, T. Schunemann and
                 P. Pirsch / A parallel hardware architecture for
                 connected component labeling based on fast label
                 merging / 144--149 / doi: 10.1109/ASAP.2008.4580169 \\
                 Yuki Kobayashi, M. Jayapala, P. Raghavan, F. Catthoor
                 and Masaharu Imai / Operation shuffling over cycle
                 boundaries for low energy L0 clustering / 150--155 /
                 doi: 10.1109/ASAP.2008.4580170 \\
                 V. Kundeti, Yunsi Fei and S. Rajasekaran / An efficient
                 digital circuit for implementing Sequence Alignment
                 algorithm in an extended processor / 156--161 / doi:
                 10.1109/ASAP.2008.4580171 \\
                 B. K. Mohanty and P. K. Meher / Concurrent systolic
                 architecture for high-throughput implementation of
                 3-dimensional discrete wavelet transform / 162--166 /
                 doi: 10.1109/ASAP.2008.4580172 \\
                 S. Mirzaei, A. Irturk, R. Kastner, B. T. Weals and R.
                 E. Cagley / Design space exploration of a cooperative
                 MIMO receiver for reconfigurable architectures /
                 167--172 / doi: 10.1109/ASAP.2008.4580173 \\
                 Mao Nakajima and Minoru Watanabe / Dynamic holographic
                 reconfiguration on a four-context ODRGA / 173--178 /
                 doi: 10.1109/ASAP.2008.4580174 \\
                 F. Pardo, P. Lopez and D. Cabello / FPGA-based hardware
                 accelerator of the heat equation with applications on
                 infrared thermography / 179--184 / doi:
                 10.1109/ASAP.2008.4580175 \\
                 M. Rahmati, M. S. Sadri and M. A. Naeini / FPGA based
                 singular value decomposition for image processing
                 applications / 185--190 / doi:
                 10.1109/ASAP.2008.4580176 \\
                 A. Jacob, J. Buhler and R. D. Chamberlain /
                 Accelerating Nussinov RNA secondary structure
                 prediction with systolic arrays on FPGAs / 191--196 /
                 doi: 10.1109/ASAP.2008.4580177 \\
                 J. Lee, L. Shannon, M. J. Yedlin and G. F. Margrave / A
                 multi-FPGA application-specific architecture for
                 accelerating a floating point Fourier Integral Operator
                 / 197--202 / doi: 10.1109/ASAP.2008.4580178 \\
                 K. F. C. Yiu, Chun Hok Ho, N. Grbric, Yao Lu, Xiaoxiang
                 Shi and W. Luk / Reconfigurable acceleration of
                 microphone array algorithms for speech enhancement /
                 203--208 / doi: 10.1109/ASAP.2008.4580179 \\
                 Yang Sun, Yuming Zhu, M. Goel and J. R. Cavallaro /
                 Configurable and scalable high throughput turbo decoder
                 architecture for multiple 4G wireless standards /
                 209--214 / doi: 10.1109/ASAP.2008.4580180 \\
                 M. B. S. Tavares, S. Kunze, E. Matus and G. P. Fettweis
                 / Architecture and VLSI realization of a high-speed
                 programmable decoder for LDPC convolutional codes /
                 215--220 / doi: 10.1109/ASAP.2008.4580181 \\
                 D. Llorente, K. Karras, T. Wild and A. Herkersdorf /
                 Buffer allocation for advanced packet segmentation in
                 Network Processors / 221--226 / doi:
                 10.1109/ASAP.2008.4580182 \\
                 A. Vazquez and E. Antelo / New insights on Ling adders
                 / 227--232 / doi: 10.1109/ASAP.2008.4580183 \\
                 N. Brisebarre, F. de Dinechin and J. Muller / Integer
                 and floating-point constant multipliers for FPGAs /
                 239--244 / doi: 10.1109/ASAP.2008.4580184 \\
                 N. Brisebarre, S. Chevillard, M. D. Ercegovac, J.
                 Muller and S. Torres / An efficient method for
                 evaluating polynomial and rational function
                 approximations / 233--238 / doi:
                 10.1109/ASAP.2008.4580185 \\
                 A. Garcia, M. Berekovic and T. Vander Aa / Mapping of
                 the AES cryptographic algorithm on a Coarse-Grain
                 reconfigurable array processor / 245--250 / doi:
                 10.1109/ASAP.2008.4580186 \\
                 J. Nimmy et al. / RECONNECT: A NoC for polymorphic
                 ASICs using a low overhead single cycle router /
                 251--256 / doi: 10.1109/ASAP.2008.4580187 \\
                 M. Mbaye, N. Belanger, Y. Savaria and S. Pierre /
                 Loop-oriented metrics for exploring an
                 application-specific architecture design-space /
                 257--262 / doi: 10.1109/ASAP.2008.4580188 \\
                 S. K. Dash and T. Srikanthan / Rapid estimation of
                 instruction cache hit rates using loop profiling /
                 263--268 / doi: 10.1109/ASAP.2008.4580189 \\
                 Xuan Guan and Yunsi Fei / Reducing power consumption of
                 embedded processors through register file partitioning
                 and compiler support / 269--274 / doi:
                 10.1109/ASAP.2008.4580190 \\
                 A. Tumeo, M. Monchiero, G. Palermo, F. Ferrandi and D.
                 Sciuto / Lightweight DMA management mechanisms for
                 multiprocessors on FPGA / 275--280 / doi:
                 10.1109/ASAP.2008.4580191 \\
                 P. de Langen and B. Juurlink / Memory copies in
                 multi-level memory systems / 281--286 / doi:
                 10.1109/ASAP.2008.4580192 \\
                 R. Adrsha, Mythri, S. K. Nandy and R. Narayan /
                 Architecture of a polymorphic ASIC for interoperability
                 across multi-mode H.264 decoders / 287--292 / doi:
                 10.1109/ASAP.2008.4580193 \\
                 R. R. Osorio and J. D. Bruguera / An FPGA architecture
                 for CABAC decoding in manycore systems / 293--298 /
                 doi: 10.1109/ASAP.2008.4580194 \\
                 A. Guntoro and M. Glesner / Novel approach on
                 lifting-based DWT and IDWT processor with multi-context
                 configuration to support different wavelet filters /
                 299--304 / doi: 10.1109/ASAP.2008.4580195 \\
                 B. K. Mohanty and P. K. Meher / Throughput-scalable
                 hybrid-pipeline architecture for multilevel lifting 2-D
                 DWT of JPEG 2000 coder / 305--309 / doi:
                 10.1109/ASAP.2008.4580196 \\
                 Author index / 310--321 / doi:
                 10.1109/ASAP.2008.4580201",
}


bibtype: proceedings
filename: elefunt.bib
label: Bruguera:2009:PIS
editor: Javier D. Bruguera and Marius Cornea and Debjit DasSarma and John Harrison
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xi + 235
year: 2009
ISBN: 0-7695-3670-0, 1-4244-4329-6 OR 0769536700, 1424443296
ISBN13: 978-0-7695-3670-5, 978-1-4244-4329-1 OR 9780769536705, 9781424443291
ISSN: 1063-6889 OR 10636889
LCCN: QA76.6 .S887 2009
bibdate: Fri Jun 12 12:24:37 2009
bibtimestamp: 2009.06.12 12:24:37 ???
URL: http://www.ac.usc.es/arith19/
keywords: ARITH-19
acknowledgement: ack-nhfb
raweditor: Javier D. Bruguera and Marius Cornea and Debjit DasSarma and John Harrison
booktitle:
Proceedings of the 19th IEEE Symposium on Computer Arithmetic, June 8--10, 2009, Portland, Oregon, USA

title:
Proceedings of the 19th IEEE Symposium on Computer Arithmetic, June 8--10, 2009, Portland, Oregon, USA

bibsource:
http://www.ac.usc.es/arith19/; https://www.math.utah.edu/pub/tex/bib/cryptography2000.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib

TOC:
Keynote Talk Anton: A Specialized Machine for Millisecond-Scale Molecular Dynamics Simulations of Proteins / David E. Shaw / 3 Session 1: Algorithms and Number Systems Efficient Data Structure and Algorithms for Sparse Integers, Sets and Predicates / Jean E. Vuillemin / 7 A Dual-Purpose Real/Complex Logarithmic Number System ALU / Mark G. Arnold and Sylvain Collange / 15 Selected RNS Bases for Modular Multiplication / J. C. Bajard, M. Kaihara, and T. Plantard / 25 Invited Talk A Historical Perspective on Computer Arithmetic / Stanley Mazor / 35 Session 2: Arithmetic Hardware Higher Radix Squaring Operations Employing Left-to-Right Dual Recoding / David W. Matula / 39 Advanced Clockgating Schemes for Fused-Multiply-Add-Type Floating-Point Units / Jochen Preiss, Maarten Boersma, and Silvia Melitta Mueller / 48 Unified Approach to the Design of Modulo-$(2^n pm 1)$ Adders Based on Signed-LSB Representation of Residues / Ghassem Jaberipur and Behrooz Parhami / 57 Session 3: Finite Fields and Cryptography Subquadratic Space Complexity Multiplier for a Class of Binary Fields Using Toeplitz Matrix Approach / M. A. Hasan and C. Negre / 67 Hybrid Binary-Ternary Joint Form and Its Application in Elliptic Curve / Cryptography / Jithra Adikari, Vassil Dimitrov, and Laurent Imbert / 76 Polynomial Multiplication over Finite Fields Using Field Extensions and Interpolation / Murat Cenk, Cetin Kaya Koc, and Ferruh Ozbudak / 84 Session 4: Mathematical Software A New Binary Floating-Point Division Algorithm and Its Software Implementation on the ST231 Processor / Claude-Pierre Jeannerod, Herve Knochel, Christophe Monat, Guillaume Revy, and Gilles Villard / 95 Fast and Accurate Bessel Function Computation / John Harrison / 104 Implementation Specific Verification of Divide and Square Root Instructions / Elena Guralnik, Ariel J. Birnbaum, Anatoly Koyfinan, and Avi Kaplan / 114 Session 5: Decimal Hardware A Decimal Floating-Point Adder with Decoded Operands and a Decimal Leading-Zero Anticipator / Liang-Kai Wang and Michael J. Schulte / 125 A High-Performance Significand BCD Adder with IEEE 754-2008 Decimal Rounding / Alvaro Vazquez and Elisardo Antelo / 135 Fully Redundant Decimal Arithmetic / Saeid Gorgin and Ghassem Jaberipur / 145 Session 6: Floating-Point Techniques On the Computation of Correctly-Rounded Sums / P. Kornerup, V. Lefevre, N. Louvet, and J. M. Muller / 155 Multi-operand Floating-Point Addition / Alexandre F. Tenca / 161 Certified and Fast Computation of Supremum Norms of Approximation Errors / Sylvain Chevillard, Mioara Joldes, and Christoph Lauter / 169 Session 7: Decimal Transcendentals Computation of Decimal Transcendental Functions Using the CORDIC Algorithm / Alvaro Vazquez, Julio Villalba, and Elisardo Antelo / 179 Decimal Transcendentals via Binary / John Harrison / 187 A 32-bit Decimal Floating-Point Logarithmic Converter / Dongdong Chen, Yu Zhang, Younhee Choi, Moon Ho Lee, and Seok-Bum Ko / 195 Special Session on Automated Synthesis of Arithmetic Operations Datapath Synthesis for Standard-Cell Design / Reto Zimmermann / 207 Design Space Exploration for Power-Efficient Mixed-Radix Ling Adders / Chung-Kuan Cheng / 212 Challenges in Automatic Optimization of Arithmetic Circuits / Ajay K. Verma, Philip Brisk, and Paolo Ienne / 213 Panel on Decimal Arithmetic in Industry Energy and Delay Improvement via Decimal Floating Point Units / Hossam A. H. Fahmy, Ramy Raafat, Amira M. Abdel-Majeed, Rodina Samy, Torek ElDeeb, and Yasmin Farouk / 221 IEEE 754-2008 Decimal Floating-Point for Intel Architecture Processors / Marius Cornea / 225 Special Session on Interval Arithmetic IEEE Interval Standard Working Group --- P1788: Current Status / William Edmonson and Guillaume Melquiond / 231 Author Index

rawbooktitle:
{Proceedings of the 19th IEEE Symposium on Computer Arithmetic, June 8--10, 2009, Portland, Oregon, USA}

rawtitle:
{Proceedings of the 19th IEEE Symposium on Computer Arithmetic, June 8--10, 2009, Portland, Oregon, USA}

rawTOC:
Keynote Talk \\ Anton: A Specialized Machine for Millisecond-Scale Molecular Dynamics Simulations of Proteins / David E. Shaw / 3 \\ Session 1: Algorithms and Number Systems \\ Efficient Data Structure and Algorithms for Sparse Integers, Sets and Predicates / Jean E. Vuillemin / 7 \\ A Dual-Purpose Real/Complex Logarithmic Number System ALU / Mark G. Arnold and Sylvain Collange / 15 \\ Selected RNS Bases for Modular Multiplication / J. C. Bajard, M. Kaihara, and T. Plantard / 25 \\ Invited Talk \\ A Historical Perspective on Computer Arithmetic / Stanley Mazor / 35 \\ Session 2: Arithmetic Hardware \\ Higher Radix Squaring Operations Employing Left-to-Right Dual Recoding / David W. Matula / 39 \\ Advanced Clockgating Schemes for Fused-Multiply-Add-Type Floating-Point Units / Jochen Preiss, Maarten Boersma, and Silvia Melitta Mueller / 48 \\ Unified Approach to the Design of Modulo-$(2^n \pm 1)$ Adders Based on Signed-LSB Representation of Residues / Ghassem Jaberipur and Behrooz Parhami / 57 \\ Session 3: Finite Fields and Cryptography \\ Subquadratic Space Complexity Multiplier for a Class of Binary Fields Using Toeplitz Matrix Approach / M. A. Hasan and C. Negre / 67 \\ Hybrid Binary-Ternary Joint Form and Its Application in Elliptic Curve / Cryptography / Jithra Adikari, Vassil Dimitrov, and Laurent Imbert / 76 \\ Polynomial Multiplication over Finite Fields Using Field Extensions and Interpolation / Murat Cenk, Cetin Kaya Koc, and Ferruh Ozbudak / 84 \\ Session 4: Mathematical Software \\ A New Binary Floating-Point Division Algorithm and Its Software Implementation on the ST231 Processor / Claude-Pierre Jeannerod, Herve Knochel, Christophe Monat, Guillaume Revy, and Gilles Villard / 95 \\ Fast and Accurate Bessel Function Computation / John Harrison / 104 \\ Implementation Specific Verification of Divide and Square Root Instructions / Elena Guralnik, Ariel J. Birnbaum, Anatoly Koyfinan, and Avi Kaplan / 114 \\ Session 5: Decimal Hardware \\ A Decimal Floating-Point Adder with Decoded Operands and a Decimal Leading-Zero Anticipator / Liang-Kai Wang and Michael J. Schulte / 125 \\ A High-Performance Significand BCD Adder with IEEE 754-2008 Decimal Rounding / Alvaro Vazquez and Elisardo Antelo / 135 \\ Fully Redundant Decimal Arithmetic / Saeid Gorgin and Ghassem Jaberipur / 145 \\ Session 6: Floating-Point Techniques \\ On the Computation of Correctly-Rounded Sums / P. Kornerup, V. Lefevre, N. Louvet, and J. M. Muller / 155 \\ Multi-operand Floating-Point Addition / Alexandre F. Tenca / 161 \\ Certified and Fast Computation of Supremum Norms of Approximation Errors / Sylvain Chevillard, Mioara Jolde{\c{s}}, and Christoph Lauter / 169 \\ Session 7: Decimal Transcendentals \\ Computation of Decimal Transcendental Functions Using the CORDIC Algorithm / {\'A}lvaro V{\'a}zquez, Julio Villalba, and Elisardo Antelo / 179 \\ Decimal Transcendentals via Binary / John Harrison / 187 \\ A 32-bit Decimal Floating-Point Logarithmic Converter / Dongdong Chen, Yu Zhang, Younhee Choi, Moon Ho Lee, and Seok-Bum Ko / 195 \\ Special Session on Automated Synthesis of Arithmetic Operations \\ Datapath Synthesis for Standard-Cell Design / Reto Zimmermann / 207 \\ Design Space Exploration for Power-Efficient Mixed-Radix Ling Adders / Chung-Kuan Cheng / 212 \\ Challenges in Automatic Optimization of Arithmetic Circuits / Ajay K. Verma, Philip Brisk, and Paolo Ienne / 213 \\ Panel on Decimal Arithmetic in Industry \\ Energy and Delay Improvement via Decimal Floating Point Units / Hossam A. H. Fahmy, Ramy Raafat, Amira M. Abdel-Majeed, Rodina Samy, Torek ElDeeb, and Yasmin Farouk / 221 \\ IEEE 754-2008 Decimal Floating-Point for Intel Architecture Processors / Marius Cornea / 225 \\ Special Session on Interval Arithmetic \\ IEEE Interval Standard Working Group --- P1788: Current Status / William Edmonson and Guillaume Melquiond / 231 \\ Author Index

entry:
@Proceedings{Bruguera:2009:PIS,
  editor =       "Javier D. Bruguera and Marius Cornea and Debjit
                 DasSarma and John Harrison",
  booktitle =    "{Proceedings of the 19th IEEE Symposium on Computer
                 Arithmetic, June 8--10, 2009, Portland, Oregon, USA}",
  title =        "{Proceedings of the 19th IEEE Symposium on Computer
                 Arithmetic, June 8--10, 2009, Portland, Oregon, USA}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xi + 235",
  year =         "2009",
  ISBN =         "0-7695-3670-0, 1-4244-4329-6",
  ISBN-13 =      "978-0-7695-3670-5, 978-1-4244-4329-1",
  ISSN =         "1063-6889",
  LCCN =         "QA76.6 .S887 2009",
  bibdate =      "Fri Jun 12 12:24:37 2009",
  bibsource =    "http://www.ac.usc.es/arith19/;
                 https://www.math.utah.edu/pub/tex/bib/cryptography2000.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  URL =          "http://www.ac.usc.es/arith19/",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-19",
  tableofcontents = "Keynote Talk \\
                 Anton: A Specialized Machine for Millisecond-Scale
                 Molecular Dynamics Simulations of Proteins / David E.
                 Shaw / 3 \\
                 Session 1: Algorithms and Number Systems \\
                 Efficient Data Structure and Algorithms for Sparse
                 Integers, Sets and Predicates / Jean E. Vuillemin / 7
                 \\
                 A Dual-Purpose Real/Complex Logarithmic Number System
                 ALU / Mark G. Arnold and Sylvain Collange / 15 \\
                 Selected RNS Bases for Modular Multiplication / J. C.
                 Bajard, M. Kaihara, and T. Plantard / 25 \\
                 Invited Talk \\
                 A Historical Perspective on Computer Arithmetic /
                 Stanley Mazor / 35 \\
                 Session 2: Arithmetic Hardware \\
                 Higher Radix Squaring Operations Employing
                 Left-to-Right Dual Recoding / David W. Matula / 39 \\
                 Advanced Clockgating Schemes for
                 Fused-Multiply-Add-Type Floating-Point Units / Jochen
                 Preiss, Maarten Boersma, and Silvia Melitta Mueller /
                 48 \\
                 Unified Approach to the Design of Modulo-$(2^n \pm 1)$
                 Adders Based on Signed-LSB Representation of Residues /
                 Ghassem Jaberipur and Behrooz Parhami / 57 \\
                 Session 3: Finite Fields and Cryptography \\
                 Subquadratic Space Complexity Multiplier for a Class of
                 Binary Fields Using Toeplitz Matrix Approach / M. A.
                 Hasan and C. Negre / 67 \\
                 Hybrid Binary-Ternary Joint Form and Its Application in
                 Elliptic Curve / Cryptography / Jithra Adikari, Vassil
                 Dimitrov, and Laurent Imbert / 76 \\
                 Polynomial Multiplication over Finite Fields Using
                 Field Extensions and Interpolation / Murat Cenk, Cetin
                 Kaya Koc, and Ferruh Ozbudak / 84 \\
                 Session 4: Mathematical Software \\
                 A New Binary Floating-Point Division Algorithm and Its
                 Software Implementation on the ST231 Processor /
                 Claude-Pierre Jeannerod, Herve Knochel, Christophe
                 Monat, Guillaume Revy, and Gilles Villard / 95 \\
                 Fast and Accurate Bessel Function Computation / John
                 Harrison / 104 \\
                 Implementation Specific Verification of Divide and
                 Square Root Instructions / Elena Guralnik, Ariel J.
                 Birnbaum, Anatoly Koyfinan, and Avi Kaplan / 114 \\
                 Session 5: Decimal Hardware \\
                 A Decimal Floating-Point Adder with Decoded Operands
                 and a Decimal Leading-Zero Anticipator / Liang-Kai Wang
                 and Michael J. Schulte / 125 \\
                 A High-Performance Significand BCD Adder with IEEE
                 754-2008 Decimal Rounding / Alvaro Vazquez and Elisardo
                 Antelo / 135 \\
                 Fully Redundant Decimal Arithmetic / Saeid Gorgin and
                 Ghassem Jaberipur / 145 \\
                 Session 6: Floating-Point Techniques \\
                 On the Computation of Correctly-Rounded Sums / P.
                 Kornerup, V. Lefevre, N. Louvet, and J. M. Muller / 155
                 \\
                 Multi-operand Floating-Point Addition / Alexandre F.
                 Tenca / 161 \\
                 Certified and Fast Computation of Supremum Norms of
                 Approximation Errors / Sylvain Chevillard, Mioara
                 Jolde{\c{s}}, and Christoph Lauter / 169 \\
                 Session 7: Decimal Transcendentals \\
                 Computation of Decimal Transcendental Functions Using
                 the CORDIC Algorithm / {\'A}lvaro V{\'a}zquez, Julio
                 Villalba, and Elisardo Antelo / 179 \\
                 Decimal Transcendentals via Binary / John Harrison /
                 187 \\
                 A 32-bit Decimal Floating-Point Logarithmic Converter /
                 Dongdong Chen, Yu Zhang, Younhee Choi, Moon Ho Lee, and
                 Seok-Bum Ko / 195 \\
                 Special Session on Automated Synthesis of Arithmetic
                 Operations \\
                 Datapath Synthesis for Standard-Cell Design / Reto
                 Zimmermann / 207 \\
                 Design Space Exploration for Power-Efficient
                 Mixed-Radix Ling Adders / Chung-Kuan Cheng / 212 \\
                 Challenges in Automatic Optimization of Arithmetic
                 Circuits / Ajay K. Verma, Philip Brisk, and Paolo Ienne
                 / 213 \\
                 Panel on Decimal Arithmetic in Industry \\
                 Energy and Delay Improvement via Decimal Floating Point
                 Units / Hossam A. H. Fahmy, Ramy Raafat, Amira M.
                 Abdel-Majeed, Rodina Samy, Torek ElDeeb, and Yasmin
                 Farouk / 221 \\
                 IEEE 754-2008 Decimal Floating-Point for Intel
                 Architecture Processors / Marius Cornea / 225 \\
                 Special Session on Interval Arithmetic \\
                 IEEE Interval Standard Working Group --- P1788: Current
                 Status / William Edmonson and Guillaume Melquiond / 231
                 \\
                 Author Index",
}


bibtype: proceedings
filename: elefunt.bib
label: Fukuda:2010:MSI
editor: Komei Fukuda and Joris van der Hoeven and Michael Joswig and Nobuki Takayama
volume: 6327
publisher: pub-SV
address: pub-SV:adr
pages: xvi + 368
year: 2010
DOI: https://doi.org/10.1007/978-3-642-15582-6
ISBN: 3-642-15581-2 (paperback), 3-642-15582-0 (e-book) OR 3642155812 (paperback), 3642155820 (ebook)
LCCN: QA76.95 .I5654 2010
bibdate: Sat Aug 9 14:06:27 MDT 2014
bibtimestamp: 2014.08.09 14:06:27 MDT
series: ser-LNCS
URL: http://link.springer.com/book/10.1007/978-3-642-15582-6
subject: Mathematics; Data processing; Congresses; Computer software
acknowledgement: ack-nhfb
raweditor: Komei Fukuda and Joris van der Hoeven and Michael Joswig and Nobuki Takayama
booktitle:
Mathematical software --- ICMS 2010: third International Congress on Mathematical Software, Kobe, Japan, September 13--17, 2010: proceedings

title:
Mathematical software --- ICMS 2010: third International Congress on Mathematical Software, Kobe, Japan, September 13--17, 2010: proceedings

ISBN13:
978-3-642-15581-9 (paperback), 978-3-642-15582-6 (e-book) OR 9783642155819 (paperback), 9783642155826 (ebook)

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/lncs.bib; https://www.math.utah.edu/pub/tex/bib/lncs2010a.bib; https://www.math.utah.edu/pub/tex/bib/magma.bib; https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib; z3950.loc.gov:7090/Voyager

TOC:
Plenary Computational Discrete Geometry / Thomas C. Hales / 1--3 Exploiting Structured Sparsity in Large Scale Semidefinite Programming Problems / Masakazu Kojima / 4--9 Reliable and Efficient Geometric Computing / Kurt Mehlhorn / 10--11 The Sage Project: Unifying Free Mathematical Software to Create a Viable Alternative to Magma, Maple, Mathematica and MATLAB / Burcin Erocal, William Stein / 12--27 Computation of Special Functions (Invited) Sollya: An Environment for the Development of Numerical Codes / Sylvain Chevillard, Mioara Jolde , Christoph Lauter / 28--31 Validated Special Functions Software / Annie Cuyt, Franky Backeljauw, Stefan Becuwe, Joris Van Deun / 32--34 The Dynamic Dictionary of Mathematical Functions (DDMF) / Alexandre Benoit, Frederic Chyzak, Alexis Darrasse, Stefan Gerhold, Marc Mezzarobba, Bruno Salvy / 35--41 Reliable Computing with GNU MPFR / Paul Zimmermann / 42--45 Computational Group Theory (Invited) Simplicial Cohomology of Smooth Orbifolds in GAP / Mohamed Barakat, Simon Gortzen / 46--49 Computing Polycyclic Quotients of Finitely (L-)Presented Groups via Groebner Bases / Bettina Eick, Max Horn / 50--53 Constructive Membership Testing in Black-Box Classical Groups / Sophie Ambrose, Scott H. Murray, Cheryl E. Praeger, Csaba Schneider / 54--57 Computational Group Theory (Contributed) Towards High-Performance Computational Algebra with GAP / Reimer Behrends, Alexander Konovalov, Steve Linton, Frank Lubeck, Max Neunhoeffer / 58--61 An Improvement of a Function Computing Normalizers for Permutation Groups / Izumi Miyamoto / 62--68 A GAP Package for Computation with Coherent Configurations / Dmitrii V. Pasechnik, Keshav Kini / 69--72 Computer Algebra (Invited) CoCoALib: A C++ Library for Computations in Commutative Algebra ldots and Beyond / John Abbott, Anna M. Bigatti / 73--76 LinBox Founding Scope Allocation, Parallel Building Blocks, and Separate Compilation / Jean-Guillaume Dumas, Thierry Gautier, Clement Pernet, B. David Saunders / 77--83 FGb: A Library for Computing Grobner Bases / Jean-Charles Faugere / 84--87 Fast Library for Number Theory: An Introduction / William B. Hart / 88--91 Exact Numeric Computation for Algebraic and Geometric Computation (Invited) Controlled Perturbation for Certified Geometric Computing with Fixed-Precision Arithmetic / Dan Halperin / 92--95 Exact Numeric Computation for Algebraic and Geometric Computation (Invited) Exact Geometric and Algebraic Computations in CGAL / Menelaos I. Karavelas / 96--99 On Solving Systems of Bivariate Polynomials / Fabrice Rouillier / 100--104 Accurate and Reliable Computing in Floating-Point Arithmetic / Siegfried M. Rump / 105--108 Exact Numeric Computation for Algebraic and Geometric Computation (Contributed) Deferring Dag Construction by Storing Sums of Floats Speeds-Up Exact Decision Computations Based on Expression Dags / Marc Morig / 109--120 The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra / Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herve Bronnimann / 121--141 Formal Proof (Invited) Introducing HOL Zero / Mark Adams / 142--143 Euler s Polyhedron Formula in mizar / Jesse Alama / 144--147 Building a Library of Mechanized Mathematical Proofs: Why Do It? and What Is It Like to Do? / R. D. Arthan / 148--148 Linear Programs for the Kepler Conjecture / Thomas C. Hales / 149--151 A Formal Proof of Pick s Theorem / John Harrison / 152--154 Formal Proof (Contributed) Evaluation of Automated Theorem Proving on the Mizar Mathematical Library / Josef Urban, Krystof Hoder, Andrei Voronkov / 155--166 Geometry and Visualization (Invited) On Local Deformations of Planar Quad-Meshes / Tim Hoffmann / 167--169 Construction of Harmonic Surfaces with Prescribed Geometry / Matthias Weber / 170--173 Geometry and Visualization (Contributed) A Library of OpenGL-Based Mathematical Image Filters / Martin von Gagern, Christian Mercat / 174--185 MD-jeep: An Implementation of a Branch and Prune Algorithm for Distance Geometry Problems / Antonio Mucherino, Leo Liberti, Carlile Lavor / 186--197 TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory / Jan Reininghaus, David Gunther, Ingrid Hotz, Steffen Prohaska, Hans-Christian Hege / 198--208 Groebner Bases and Applications (Invited) Introduction to Normaliz 2.5 / Winfried Bruns, Bogdan Ichim, Christof Soger / 209--212 Computer Algebra Methods in Tropical Geometry / Thomas Markwig / 213--216 Groebner Bases and Applications (Contributed) A New Desingularization Algorithm for Binomial Varieties in Arbitrary Characteristic / Rocio Blanco / 217--220 An Algorithm of Computing Inhomogeneous Differential Equations for Definite Integrals / Hiromasa Nakayama, Kenta Nishiyama / 221--232 Groebner Bases and Applications (Contributed) New Algorithms for Computing Primary Decomposition of Polynomial Ideals / Masayuki Noro / 233--244 An Automated Confluence Proof for an Infinite Rewrite System Parametrized over an Integro-Differential Algebra / Loredana Tec, Georg Regensburger, Markus Rosenkranz, Bruno Buchberger / 245--248 Operadic Grobner Bases: An Implementation / Vladimir Dotsenko, Mikael Vejdemo-Johansson / 249--252 Number Theoretical Software (Invited) Magma - A Tool for Number Theory / John Cannon, Steve Donnelly, Claus Fieker, Mark Watkins / 253--255 Number Theoretical Software (Contributed) Enumerating Galois Representations in Sage / Craig Citro, Alexandru Ghitza / 256--259 NZMATH 1.0 / Satoru Tanaka, Naoki Ogura, Ken Nakamula, Tetsushi Matsui, Shigenori Uchiyama / 260--269 Software for Optimization and Polyhedral Computation (Invited) Removing Redundant Quadratic Constraints / David Adjiashvili, Michel Baes, Philipp Rostalski / 270--281 Traversing Symmetric Polyhedral Fans / Anders Nedergaard Jensen / 282--294 C++ Tools for Exploiting Polyhedral Symmetries / Thomas Rehn, Achill Schurmann / 295--298 isl: An Integer Set Library for the Polyhedral Model / Sven Verdoolaege / 299--302 Software for Optimization and Polyhedral Computation (Contributed) The Reformulation-Optimization Software Engine / Leo Liberti, Sonia Cafieri, David Savourey / 303--314 Generating Smooth Lattice Polytopes / Christian Haase, Benjamin Lorenz, Andreas Paffenholz / 315--328 Reliable Computation (Invited) Mathemagix: Towards Large Scale Programming for Symbolic and Certified Numeric Computations / Gregoire Lecerf / 329--332 Complex Inclusion Functions in the CoStLy C++ Class Library / Markus Neher / 333--336 Standardized Interval Arithmetic and Interval Arithmetic Used in Libraries / Nathalie Revol / 337--341 Reliable Computation (Contributed) Efficient Evaluation of Large Polynomials / Charles E. Leiserson, Liyun Li, Marc Moreno Maza, Yuzhen Xie / 342--353 Communicating Functional Expressions from Mathematica to C-XSC / Evgenija D. Popova, Walter Kramer / 354--365 Author Index / 367--368

rawbooktitle:
{Mathematical software --- ICMS 2010: third International Congress on Mathematical Software, K{\=o}be, Japan, September 13--17, 2010: proceedings}

rawtitle:
{Mathematical software --- ICMS 2010: third International Congress on Mathematical Software, K{\=o}be, Japan, September 13--17, 2010: proceedings}

rawTOC:
Plenary \\ Computational Discrete Geometry / Thomas C. Hales / 1--3 \\ Exploiting Structured Sparsity in Large Scale Semidefinite Programming Problems / Masakazu Kojima / 4--9 \\ Reliable and Efficient Geometric Computing / Kurt Mehlhorn / 10--11 \\ The Sage Project: Unifying Free Mathematical Software to Create a Viable Alternative to Magma, Maple, Mathematica and MATLAB / Bur{\c{c}}in Er{\"o}cal, William Stein / 12--27 \\ Computation of Special Functions (Invited) \\ Sollya: An Environment for the Development of Numerical Codes / Sylvain Chevillard, Mioara Jolde , Christoph Lauter / 28--31 \\ Validated Special Functions Software / Annie Cuyt, Franky Backeljauw, Stefan Becuwe, Joris Van Deun / 32--34 \\ The Dynamic Dictionary of Mathematical Functions (DDMF) / Alexandre Benoit, Fr{\'e}d{\'e}ric Chyzak, Alexis Darrasse, Stefan Gerhold, Marc Mezzarobba, Bruno Salvy / 35--41 \\ Reliable Computing with GNU MPFR / Paul Zimmermann / 42--45 \\ Computational Group Theory (Invited) \\ Simplicial Cohomology of Smooth Orbifolds in GAP / Mohamed Barakat, Simon G{\"o}rtzen / 46--49 \\ Computing Polycyclic Quotients of Finitely (L-)Presented Groups via Groebner Bases / Bettina Eick, Max Horn / 50--53 \\ Constructive Membership Testing in Black-Box Classical Groups / Sophie Ambrose, Scott H. Murray, Cheryl E. Praeger, Csaba Schneider / 54--57 \\ Computational Group Theory (Contributed) \\ Towards High-Performance Computational Algebra with GAP / Reimer Behrends, Alexander Konovalov, Steve Linton, Frank L{\"u}beck, Max Neunh{\"o}effer / 58--61 \\ An Improvement of a Function Computing Normalizers for Permutation Groups / Izumi Miyamoto / 62--68 \\ A GAP Package for Computation with Coherent Configurations / Dmitrii V. Pasechnik, Keshav Kini / 69--72 \\ Computer Algebra (Invited) \\ CoCoALib: A C++ Library for Computations in Commutative Algebra \ldots{} and Beyond / John Abbott, Anna M. Bigatti / 73--76 \\ LinBox Founding Scope Allocation, Parallel Building Blocks, and Separate Compilation / Jean-Guillaume Dumas, Thierry Gautier, Cl{\'e}ment Pernet, B. David Saunders / 77--83 \\ FGb: A Library for Computing Gr{\"o}bner Bases / Jean-Charles Faug{\`e}re / 84--87 \\ Fast Library for Number Theory: An Introduction / William B. Hart / 88--91 \\ Exact Numeric Computation for Algebraic and Geometric Computation (Invited) \\ Controlled Perturbation for Certified Geometric Computing with Fixed-Precision Arithmetic / Dan Halperin / 92--95 \\ Exact Numeric Computation for Algebraic and Geometric Computation (Invited) \\ Exact Geometric and Algebraic Computations in CGAL / Menelaos I. Karavelas / 96--99 \\ On Solving Systems of Bivariate Polynomials / Fabrice Rouillier / 100--104 \\ Accurate and Reliable Computing in Floating-Point Arithmetic / Siegfried M. Rump / 105--108 \\ Exact Numeric Computation for Algebraic and Geometric Computation (Contributed) \\ Deferring Dag Construction by Storing Sums of Floats Speeds-Up Exact Decision Computations Based on Expression Dags / Marc M{\"o}rig / 109--120 \\ The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra / Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herv{\'e} Br{\"o}nnimann / 121--141 \\ Formal Proof (Invited) \\ Introducing HOL Zero / Mark Adams / 142--143 \\ Euler s Polyhedron Formula in mizar / Jesse Alama / 144--147 \\ Building a Library of Mechanized Mathematical Proofs: Why Do It? and What Is It Like to Do? / R. D. Arthan / 148--148 \\ Linear Programs for the Kepler Conjecture / Thomas C. Hales / 149--151 \\ A Formal Proof of Pick s Theorem / John Harrison / 152--154 \\ Formal Proof (Contributed) \\ Evaluation of Automated Theorem Proving on the Mizar Mathematical Library / Josef Urban, Krystof Hoder, Andrei Voronkov / 155--166 \\ Geometry and Visualization (Invited) \\ On Local Deformations of Planar Quad-Meshes / Tim Hoffmann / 167--169 \\ Construction of Harmonic Surfaces with Prescribed Geometry / Matthias Weber / 170--173 \\ Geometry and Visualization (Contributed) \\ A Library of OpenGL-Based Mathematical Image Filters / Martin von Gagern, Christian Mercat / 174--185 \\ MD-jeep: An Implementation of a Branch and Prune Algorithm for Distance Geometry Problems / Antonio Mucherino, Leo Liberti, Carlile Lavor / 186--197 \\ TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory / Jan Reininghaus, David G{\"u}nther, Ingrid Hotz, Steffen Prohaska, Hans-Christian Hege / 198--208 \\ Groebner Bases and Applications (Invited) \\ Introduction to Normaliz 2.5 / Winfried Bruns, Bogdan Ichim, Christof S{\"o}ger / 209--212 \\ Computer Algebra Methods in Tropical Geometry / Thomas Markwig / 213--216 \\ Groebner Bases and Applications (Contributed) \\ A New Desingularization Algorithm for Binomial Varieties in Arbitrary Characteristic / Roc{\'\i}o Blanco / 217--220 \\ An Algorithm of Computing Inhomogeneous Differential Equations for Definite Integrals / Hiromasa Nakayama, Kenta Nishiyama / 221--232 \\ Groebner Bases and Applications (Contributed) \\ New Algorithms for Computing Primary Decomposition of Polynomial Ideals / Masayuki Noro / 233--244 \\ An Automated Confluence Proof for an Infinite Rewrite System Parametrized over an Integro-Differential Algebra / Loredana Tec, Georg Regensburger, Markus Rosenkranz, Bruno Buchberger / 245--248 \\ Operadic Gr{\"o}bner Bases: An Implementation / Vladimir Dotsenko, Mikael Vejdemo-Johansson / 249--252 \\ Number Theoretical Software (Invited) \\ Magma - A Tool for Number Theory / John Cannon, Steve Donnelly, Claus Fieker, Mark Watkins / 253--255 \\ Number Theoretical Software (Contributed) \\ Enumerating Galois Representations in Sage / Craig Citro, Alexandru Ghitza / 256--259 \\ NZMATH 1.0 / Satoru Tanaka, Naoki Ogura, Ken Nakamula, Tetsushi Matsui, Shigenori Uchiyama / 260--269 \\ Software for Optimization and Polyhedral Computation (Invited) \\ Removing Redundant Quadratic Constraints / David Adjiashvili, Michel Baes, Philipp Rostalski / 270--281 \\ Traversing Symmetric Polyhedral Fans / Anders Nedergaard Jensen / 282--294 \\ C++ Tools for Exploiting Polyhedral Symmetries / Thomas Rehn, Achill Sch{\"u}rmann / 295--298 \\ isl: An Integer Set Library for the Polyhedral Model / Sven Verdoolaege / 299--302 \\ Software for Optimization and Polyhedral Computation (Contributed) \\ The Reformulation-Optimization Software Engine / Leo Liberti, Sonia Cafieri, David Savourey / 303--314 \\ Generating Smooth Lattice Polytopes / Christian Haase, Benjamin Lorenz, Andreas Paffenholz / 315--328 \\ Reliable Computation (Invited) \\ Mathemagix: Towards Large Scale Programming for Symbolic and Certified Numeric Computations / Gr{\'e}goire Lecerf / 329--332 \\ Complex Inclusion Functions in the CoStLy C++ Class Library / Markus Neher / 333--336 \\ Standardized Interval Arithmetic and Interval Arithmetic Used in Libraries / Nathalie Revol / 337--341 \\ Reliable Computation (Contributed) \\ Efficient Evaluation of Large Polynomials / Charles E. Leiserson, Liyun Li, Marc Moreno Maza, Yuzhen Xie / 342--353 \\ Communicating Functional Expressions from Mathematica to C-XSC / Evgenija D. Popova, Walter Kr{\"a}mer / 354--365 \\ Author Index / 367--368

entry:
@Proceedings{Fukuda:2010:MSI,
  editor =       "Komei Fukuda and Joris van der Hoeven and Michael
                 Joswig and Nobuki Takayama",
  booktitle =    "{Mathematical software --- ICMS 2010: third
                 International Congress on Mathematical Software,
                 K{\=o}be, Japan, September 13--17, 2010: proceedings}",
  title =        "{Mathematical software --- ICMS 2010: third
                 International Congress on Mathematical Software,
                 K{\=o}be, Japan, September 13--17, 2010: proceedings}",
  volume =       "6327",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 368",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/978-3-642-15582-6",
  ISBN =         "3-642-15581-2 (paperback), 3-642-15582-0 (e-book)",
  ISBN-13 =      "978-3-642-15581-9 (paperback), 978-3-642-15582-6
                 (e-book)",
  LCCN =         "QA76.95 .I5654 2010",
  bibdate =      "Sat Aug 9 14:06:27 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2010a.bib;
                 https://www.math.utah.edu/pub/tex/bib/magma.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       ser-LNCS,
  URL =          "http://link.springer.com/book/10.1007/978-3-642-15582-6",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Data processing; Congresses; Computer
                 software",
  tableofcontents = "Plenary \\
                 Computational Discrete Geometry / Thomas C. Hales /
                 1--3 \\
                 Exploiting Structured Sparsity in Large Scale
                 Semidefinite Programming Problems / Masakazu Kojima /
                 4--9 \\
                 Reliable and Efficient Geometric Computing / Kurt
                 Mehlhorn / 10--11 \\
                 The Sage Project: Unifying Free Mathematical Software
                 to Create a Viable Alternative to Magma, Maple,
                 Mathematica and MATLAB / Bur{\c{c}}in Er{\"o}cal,
                 William Stein / 12--27 \\
                 Computation of Special Functions (Invited) \\
                 Sollya: An Environment for the Development of Numerical
                 Codes / Sylvain Chevillard, Mioara Jolde , Christoph
                 Lauter / 28--31 \\
                 Validated Special Functions Software / Annie Cuyt,
                 Franky Backeljauw, Stefan Becuwe, Joris Van Deun /
                 32--34 \\
                 The Dynamic Dictionary of Mathematical Functions (DDMF)
                 / Alexandre Benoit, Fr{\'e}d{\'e}ric Chyzak, Alexis
                 Darrasse, Stefan Gerhold, Marc Mezzarobba, Bruno Salvy
                 / 35--41 \\
                 Reliable Computing with GNU MPFR / Paul Zimmermann /
                 42--45 \\
                 Computational Group Theory (Invited) \\
                 Simplicial Cohomology of Smooth Orbifolds in GAP /
                 Mohamed Barakat, Simon G{\"o}rtzen / 46--49 \\
                 Computing Polycyclic Quotients of Finitely
                 (L-)Presented Groups via Groebner Bases / Bettina Eick,
                 Max Horn / 50--53 \\
                 Constructive Membership Testing in Black-Box Classical
                 Groups / Sophie Ambrose, Scott H. Murray, Cheryl E.
                 Praeger, Csaba Schneider / 54--57 \\
                 Computational Group Theory (Contributed) \\
                 Towards High-Performance Computational Algebra with GAP
                 / Reimer Behrends, Alexander Konovalov, Steve Linton,
                 Frank L{\"u}beck, Max Neunh{\"o}effer / 58--61 \\
                 An Improvement of a Function Computing Normalizers for
                 Permutation Groups / Izumi Miyamoto / 62--68 \\
                 A GAP Package for Computation with Coherent
                 Configurations / Dmitrii V. Pasechnik, Keshav Kini /
                 69--72 \\
                 Computer Algebra (Invited) \\
                 CoCoALib: A C++ Library for Computations in Commutative
                 Algebra \ldots{} and Beyond / John Abbott, Anna M.
                 Bigatti / 73--76 \\
                 LinBox Founding Scope Allocation, Parallel Building
                 Blocks, and Separate Compilation / Jean-Guillaume
                 Dumas, Thierry Gautier, Cl{\'e}ment Pernet, B. David
                 Saunders / 77--83 \\
                 FGb: A Library for Computing Gr{\"o}bner Bases /
                 Jean-Charles Faug{\`e}re / 84--87 \\
                 Fast Library for Number Theory: An Introduction /
                 William B. Hart / 88--91 \\
                 Exact Numeric Computation for Algebraic and Geometric
                 Computation (Invited) \\
                 Controlled Perturbation for Certified Geometric
                 Computing with Fixed-Precision Arithmetic / Dan
                 Halperin / 92--95 \\
                 Exact Numeric Computation for Algebraic and Geometric
                 Computation (Invited) \\
                 Exact Geometric and Algebraic Computations in CGAL /
                 Menelaos I. Karavelas / 96--99 \\
                 On Solving Systems of Bivariate Polynomials / Fabrice
                 Rouillier / 100--104 \\
                 Accurate and Reliable Computing in Floating-Point
                 Arithmetic / Siegfried M. Rump / 105--108 \\
                 Exact Numeric Computation for Algebraic and Geometric
                 Computation (Contributed) \\
                 Deferring Dag Construction by Storing Sums of Floats
                 Speeds-Up Exact Decision Computations Based on
                 Expression Dags / Marc M{\"o}rig / 109--120 \\
                 The Design of Core 2: A Library for Exact Numeric
                 Computation in Geometry and Algebra / Jihun Yu, Chee
                 Yap, Zilin Du, Sylvain Pion, Herv{\'e} Br{\"o}nnimann /
                 121--141 \\
                 Formal Proof (Invited) \\
                 Introducing HOL Zero / Mark Adams / 142--143 \\
                 Euler s Polyhedron Formula in mizar / Jesse Alama /
                 144--147 \\
                 Building a Library of Mechanized Mathematical Proofs:
                 Why Do It? and What Is It Like to Do? / R. D. Arthan /
                 148--148 \\
                 Linear Programs for the Kepler Conjecture / Thomas C.
                 Hales / 149--151 \\
                 A Formal Proof of Pick s Theorem / John Harrison /
                 152--154 \\
                 Formal Proof (Contributed) \\
                 Evaluation of Automated Theorem Proving on the Mizar
                 Mathematical Library / Josef Urban, Krystof Hoder,
                 Andrei Voronkov / 155--166 \\
                 Geometry and Visualization (Invited) \\
                 On Local Deformations of Planar Quad-Meshes / Tim
                 Hoffmann / 167--169 \\
                 Construction of Harmonic Surfaces with Prescribed
                 Geometry / Matthias Weber / 170--173 \\
                 Geometry and Visualization (Contributed) \\
                 A Library of OpenGL-Based Mathematical Image Filters /
                 Martin von Gagern, Christian Mercat / 174--185 \\
                 MD-jeep: An Implementation of a Branch and Prune
                 Algorithm for Distance Geometry Problems / Antonio
                 Mucherino, Leo Liberti, Carlile Lavor / 186--197 \\
                 TADD: A Computational Framework for Data Analysis Using
                 Discrete Morse Theory / Jan Reininghaus, David
                 G{\"u}nther, Ingrid Hotz, Steffen Prohaska,
                 Hans-Christian Hege / 198--208 \\
                 Groebner Bases and Applications (Invited) \\
                 Introduction to Normaliz 2.5 / Winfried Bruns, Bogdan
                 Ichim, Christof S{\"o}ger / 209--212 \\
                 Computer Algebra Methods in Tropical Geometry / Thomas
                 Markwig / 213--216 \\
                 Groebner Bases and Applications (Contributed) \\
                 A New Desingularization Algorithm for Binomial
                 Varieties in Arbitrary Characteristic / Roc{\'\i}o
                 Blanco / 217--220 \\
                 An Algorithm of Computing Inhomogeneous Differential
                 Equations for Definite Integrals / Hiromasa Nakayama,
                 Kenta Nishiyama / 221--232 \\
                 Groebner Bases and Applications (Contributed) \\
                 New Algorithms for Computing Primary Decomposition of
                 Polynomial Ideals / Masayuki Noro / 233--244 \\
                 An Automated Confluence Proof for an Infinite Rewrite
                 System Parametrized over an Integro-Differential
                 Algebra / Loredana Tec, Georg Regensburger, Markus
                 Rosenkranz, Bruno Buchberger / 245--248 \\
                 Operadic Gr{\"o}bner Bases: An Implementation /
                 Vladimir Dotsenko, Mikael Vejdemo-Johansson / 249--252
                 \\
                 Number Theoretical Software (Invited) \\
                 Magma - A Tool for Number Theory / John Cannon, Steve
                 Donnelly, Claus Fieker, Mark Watkins / 253--255 \\
                 Number Theoretical Software (Contributed) \\
                 Enumerating Galois Representations in Sage / Craig
                 Citro, Alexandru Ghitza / 256--259 \\
                 NZMATH 1.0 / Satoru Tanaka, Naoki Ogura, Ken Nakamula,
                 Tetsushi Matsui, Shigenori Uchiyama / 260--269 \\
                 Software for Optimization and Polyhedral Computation
                 (Invited) \\
                 Removing Redundant Quadratic Constraints / David
                 Adjiashvili, Michel Baes, Philipp Rostalski / 270--281
                 \\
                 Traversing Symmetric Polyhedral Fans / Anders
                 Nedergaard Jensen / 282--294 \\
                 C++ Tools for Exploiting Polyhedral Symmetries / Thomas
                 Rehn, Achill Sch{\"u}rmann / 295--298 \\
                 isl: An Integer Set Library for the Polyhedral Model /
                 Sven Verdoolaege / 299--302 \\
                 Software for Optimization and Polyhedral Computation
                 (Contributed) \\
                 The Reformulation-Optimization Software Engine / Leo
                 Liberti, Sonia Cafieri, David Savourey / 303--314 \\
                 Generating Smooth Lattice Polytopes / Christian Haase,
                 Benjamin Lorenz, Andreas Paffenholz / 315--328 \\
                 Reliable Computation (Invited) \\
                 Mathemagix: Towards Large Scale Programming for
                 Symbolic and Certified Numeric Computations /
                 Gr{\'e}goire Lecerf / 329--332 \\
                 Complex Inclusion Functions in the CoStLy C++ Class
                 Library / Markus Neher / 333--336 \\
                 Standardized Interval Arithmetic and Interval
                 Arithmetic Used in Libraries / Nathalie Revol /
                 337--341 \\
                 Reliable Computation (Contributed) \\
                 Efficient Evaluation of Large Polynomials / Charles E.
                 Leiserson, Liyun Li, Marc Moreno Maza, Yuzhen Xie /
                 342--353 \\
                 Communicating Functional Expressions from Mathematica
                 to C-XSC / Evgenija D. Popova, Walter Kr{\"a}mer /
                 354--365 \\
                 Author Index / 367--368",
}


bibtype: book
filename: elefunt.bib
label: Olver:2010:NHM
editor: Frank W. J. Olver and Daniel W. Lozier and Ronald F. Boisvert and Charles W. Clark
booktitle: NIST Handbook of Mathematical Functions
title: NIST Handbook of Mathematical Functions
publisher: pub-CAMBRIDGE
address: pub-CAMBRIDGE:adr
pages: xv + 951
year: 2010
ISBN: 0-521-19225-0 OR 0521192250
ISBN13: 978-0-521-19225-5 OR 9780521192255
LCCN: QA331 .N57 2010
bibdate: Sat May 15 09:08:09 2010
bibtimestamp: 2010.05.15 09:08:09 ???
URL: http://dlmf.nist.gov/; http://www.cambridge.org/9780521140638
remark: Includes a DVD with a searchable PDF of each chapter.
acknowledgement: ack-nhfb
key: NIST
rawbooktitle: {NIST} Handbook of Mathematical Functions
raweditor: Frank W. J. Olver and Daniel W. Lozier and Ronald F. Boisvert and Charles W. Clark
rawtitle: {NIST} Handbook of Mathematical Functions
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib

TOC:
1. Algebraic and analytic methods [Ranjan Roy, Frank W. J. Olver, Richard A. Askey and Roderick S. C. Wong] 2. Asymptotic approximations [Frank W. J. Olver and Roderick S. C. Wong] 3. Numerical methods [Nico M. Temme] 4. Elementary functions [Ranjan Roy and Frank W. J. Olver] 5. Gamma function [Richard A. Askey and Ranjan Roy] 6. Exponential, logarithmic, sine and cosine integrals [Nico M. Temme] 7. Error functions, Dawson's and Fresnel integrals [Nico M. Temme] 8. Incomplete gamma and related functions [Richard B. Paris] 9. Airy and related functions [Frank W. J. Olver] 10. Bessel functions [Frank W. J. Olver and Leonard C. Maximon] 11. Struve and related functions [Richard B. Paris] 12. Parabolic cylinder functions [Nico M. Temme] 13. Confluent hypergeometric functions [Adri B. Olde Daalhuis] 14. Legendre and related functions [T. Mark Dunster] 15. Hypergeometric function [Adri B. Olde Daalhuis] 16. Generalized hypergeometric functions and Meijer G-function [Richard A. Askey and Adri B. Olde Daalhuis] 17. q-Hypergeometric and related functions [George E. Andrews] 18. Orthogonal polynomials [Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek and Rene F. Swarttouw] 19. Elliptic integrals [Bille C. Carlson] 20. Theta functions [William P. Reinhardt and Peter L. Walker] 21. Multidimensional theta functions [Bernard Deconinck] 22. Jacobian elliptic functions [William P. Reinhardt and Peter L. Walker] 23. Weierstrass elliptic and modular functions [William P. Reinhardt and Peter L. Walker] 24. Bernoulli and Euler polynomials [Karl Dilcher] 25. Zeta and related functions [Tom M. Apostol] 26. Combinatorial analysis [David M. Bressoud] 27. Functions of number theory [Tom M. Apostol] 28. Mathieu functions and Hill's equation [Gerhard Wolf] 29. Lame functions [Hans Volkmer] 30. Spheroidal wave functions [Hans Volkmer] 31. Heun functions [Brian D. Sleeman and Vadim Kuznetsov] 32. Painleve transcendents [Peter A. Clarkson] 33. Coulomb functions [Ian J. Thompson] 34. 3j, 6j, 9j symbols [Leonard C. Maximon] 35. Functions of matrix argument [Donald St. P. Richards] 36. Integrals with coalescing saddles [Michael V. Berry and Chris Howls]

rawTOC:
1. Algebraic and analytic methods [Ranjan Roy, Frank W. J. Olver, Richard A. Askey and Roderick S. C. Wong] \\ 2. Asymptotic approximations [Frank W. J. Olver and Roderick S. C. Wong] \\ 3. Numerical methods [Nico M. Temme] \\ 4. Elementary functions [Ranjan Roy and Frank W. J. Olver] \\ 5. Gamma function [Richard A. Askey and Ranjan Roy] \\ 6. Exponential, logarithmic, sine and cosine integrals [Nico M. Temme] \\ 7. Error functions, Dawson's and Fresnel integrals [Nico M. Temme] \\ 8. Incomplete gamma and related functions [Richard B. Paris] \\ 9. Airy and related functions [Frank W. J. Olver] \\ 10. Bessel functions [Frank W. J. Olver and Leonard C. Maximon] \\ 11. Struve and related functions [Richard B. Paris] \\ 12. Parabolic cylinder functions [Nico M. Temme] \\ 13. Confluent hypergeometric functions [Adri B. Olde Daalhuis] \\ 14. Legendre and related functions [T. Mark Dunster] \\ 15. Hypergeometric function [Adri B. Olde Daalhuis] \\ 16. Generalized hypergeometric functions and Meijer G-function [Richard A. Askey and Adri B. Olde Daalhuis] \\ 17. q-Hypergeometric and related functions [George E. Andrews] \\ 18. Orthogonal polynomials [Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek and Rene F. Swarttouw] \\ 19. Elliptic integrals [Bille C. Carlson] \\ 20. Theta functions [William P. Reinhardt and Peter L. Walker] \\ 21. Multidimensional theta functions [Bernard Deconinck] \\ 22. Jacobian elliptic functions [William P. Reinhardt and Peter L. Walker] \\ 23. Weierstrass elliptic and modular functions [William P. Reinhardt and Peter L. Walker] \\ 24. Bernoulli and Euler polynomials [Karl Dilcher] \\ 25. Zeta and related functions [Tom M. Apostol] \\ 26. Combinatorial analysis [David M. Bressoud] \\ 27. Functions of number theory [Tom M. Apostol] \\ 28. Mathieu functions and Hill's equation [Gerhard Wolf] \\ 29. Lam{\'e} functions [Hans Volkmer] \\ 30. Spheroidal wave functions [Hans Volkmer] \\ 31. Heun functions [Brian D. Sleeman and Vadim Kuznetsov] \\ 32. Painlev{\'e} transcendents [Peter A. Clarkson] \\ 33. Coulomb functions [Ian J. Thompson] \\ 34. 3j, 6j, 9j symbols [Leonard C. Maximon] \\ 35. Functions of matrix argument [Donald St. P. Richards] \\ 36. Integrals with coalescing saddles [Michael V. Berry and Chris Howls]

entry:
@Book{Olver:2010:NHM,
  editor =       "Frank W. J. Olver and Daniel W. Lozier and Ronald F.
                 Boisvert and Charles W. Clark",
  key =          "NIST",
  booktitle =    "{NIST} Handbook of Mathematical Functions",
  title =        "{NIST} Handbook of Mathematical Functions",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xv + 951",
  year =         "2010",
  ISBN =         "0-521-19225-0",
  ISBN-13 =      "978-0-521-19225-5",
  LCCN =         "QA331 .N57 2010",
  bibdate =      "Sat May 15 09:08:09 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  price =        "US\$99.00",
  URL =          "http://dlmf.nist.gov/;
                 http://www.cambridge.org/9780521140638",
  acknowledgement = ack-nhfb,
  remark =       "Includes a DVD with a searchable PDF of each
                 chapter.",
  tableofcontents = "1. Algebraic and analytic methods [Ranjan Roy,
                 Frank W. J. Olver, Richard A. Askey and Roderick S. C.
                 Wong] \\
                 2. Asymptotic approximations [Frank W. J. Olver and
                 Roderick S. C. Wong] \\
                 3. Numerical methods [Nico M. Temme] \\
                 4. Elementary functions [Ranjan Roy and Frank W. J.
                 Olver] \\
                 5. Gamma function [Richard A. Askey and Ranjan Roy] \\
                 6. Exponential, logarithmic, sine and cosine integrals
                 [Nico M. Temme] \\
                 7. Error functions, Dawson's and Fresnel integrals
                 [Nico M. Temme] \\
                 8. Incomplete gamma and related functions [Richard B.
                 Paris] \\
                 9. Airy and related functions [Frank W. J. Olver] \\
                 10. Bessel functions [Frank W. J. Olver and Leonard C.
                 Maximon] \\
                 11. Struve and related functions [Richard B. Paris] \\
                 12. Parabolic cylinder functions [Nico M. Temme] \\
                 13. Confluent hypergeometric functions [Adri B. Olde
                 Daalhuis] \\
                 14. Legendre and related functions [T. Mark Dunster]
                 \\
                 15. Hypergeometric function [Adri B. Olde Daalhuis] \\
                 16. Generalized hypergeometric functions and Meijer
                 G-function [Richard A. Askey and Adri B. Olde Daalhuis]
                 \\
                 17. q-Hypergeometric and related functions [George E.
                 Andrews] \\
                 18. Orthogonal polynomials [Tom H. Koornwinder,
                 Roderick S. C. Wong, Roelof Koekoek and Rene F.
                 Swarttouw] \\
                 19. Elliptic integrals [Bille C. Carlson] \\
                 20. Theta functions [William P. Reinhardt and Peter L.
                 Walker] \\
                 21. Multidimensional theta functions [Bernard
                 Deconinck] \\
                 22. Jacobian elliptic functions [William P. Reinhardt
                 and Peter L. Walker] \\
                 23. Weierstrass elliptic and modular functions [William
                 P. Reinhardt and Peter L. Walker] \\
                 24. Bernoulli and Euler polynomials [Karl Dilcher] \\
                 25. Zeta and related functions [Tom M. Apostol] \\
                 26. Combinatorial analysis [David M. Bressoud] \\
                 27. Functions of number theory [Tom M. Apostol] \\
                 28. Mathieu functions and Hill's equation [Gerhard
                 Wolf] \\
                 29. Lam{\'e} functions [Hans Volkmer] \\
                 30. Spheroidal wave functions [Hans Volkmer] \\
                 31. Heun functions [Brian D. Sleeman and Vadim
                 Kuznetsov] \\
                 32. Painlev{\'e} transcendents [Peter A. Clarkson] \\
                 33. Coulomb functions [Ian J. Thompson] \\
                 34. 3j, 6j, 9j symbols [Leonard C. Maximon] \\
                 35. Functions of matrix argument [Donald St. P.
                 Richards] \\
                 36. Integrals with coalescing saddles [Michael V. Berry
                 and Chris Howls]",
}


bibtype: proceedings
filename: elefunt.bib
label: Schost:2011:IPI
editor: Eric Schost and Ioannis Z. Emiris
publisher: pub-ACM
address: pub-ACM:adr
pages: 362 (est.)
year: 2011
ISBN: 1-4503-0675-6 OR 1450306756
ISBN13: 978-1-4503-0675-1 OR 9781450306751
LCCN: QA76.95 .I59 2011
bibdate: Fri Mar 14 12:24:11 2014
bibtimestamp: 2014.03.14 12:24:11 ???
acknowledgement: ack-nhfb
raweditor: {\'E}ric Schost and Ioannis Z. Emiris
booktitle:
ISSAC 2011: Proceedings of the 2011 International Symposium on Symbolic and Algebraic Computation, June 7--11, 2011, San Jose, CA, USA

title:
ISSAC 2011: Proceedings of the 2011 International Symposium on Symbolic and Algebraic Computation, June 7--11, 2011, San Jose, CA, USA

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/issac.bib; https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib

rawbooktitle:
{ISSAC 2011: Proceedings of the 2011 International Symposium on Symbolic and Algebraic Computation, June 7--11, 2011, San Jose, CA, USA}

rawtitle:
{ISSAC 2011: Proceedings of the 2011 International Symposium on Symbolic and Algebraic Computation, June 7--11, 2011, San Jose, CA, USA}

entry:
@Proceedings{Schost:2011:IPI,
  editor =       "{\'E}ric Schost and Ioannis Z. Emiris",
  booktitle =    "{ISSAC 2011: Proceedings of the 2011 International
                 Symposium on Symbolic and Algebraic Computation, June
                 7--11, 2011, San Jose, CA, USA}",
  title =        "{ISSAC 2011: Proceedings of the 2011 International
                 Symposium on Symbolic and Algebraic Computation, June
                 7--11, 2011, San Jose, CA, USA}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "362 (est.)",
  year =         "2011",
  ISBN =         "1-4503-0675-6",
  ISBN-13 =      "978-1-4503-0675-1",
  LCCN =         "QA76.95 .I59 2011",
  bibdate =      "Fri Mar 14 12:24:11 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/issac.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: elefunt.bib
label: Schwarz:2011:PIS
editor: Eric Schwarz and Vojin G. Oklobdzija
booktitle: Proceedings of the 20th IEEE Symposium on Computer Arithmetic, July 25--27, 2011, Tubingen, Germany
title: Proceedings of the 20th IEEE Symposium on Computer Arithmetic, July 25--27, 2011, Tubingen, Germany
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xix + 253
year: 2011
ISBN: 0-7695-4318-9, 1-4244-9457-5 OR 0769543189, 1424494575
ISBN13: 978-0-7695-4318-5, 978-1-4244-9457-6 OR 9780769543185, 9781424494576
LCCN: QA76.6
bibdate: Sat Aug 20 09:19:17 2011
bibtimestamp: 2011.08.20 09:19:17 ???
keywords: ARITH-20
acknowledgement: ack-nhfb
raweditor: Eric Schwarz and Vojin G. Oklobdzija
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib

TOC:
Foreword / ix Dedication / x Steering Committee / xv Symposium Committee / xvi Program Committee / xvii Additional Reviewers / xviii Corporate Sponsors / xix Session 1: Keynote Talk: Chair: Eric Schwarz and Vojin G. Oklobdzija High Intelligence Computing: The New Era of High Performance Computing / Ralf Fischer / 3 Session 2: Multiple-Precision Algorithms: Chair: Marius Cornea Short Division of Long Integers / David Harvey and Paul Zimmermann / 7 High Degree Toom'n'Half for Balanced and Unbalanced Multiplication / Marco Bodrato / 15 Augmented Precision Square Roots and 2-D Norms, and Discussion on Correctly Rounding sqrt($x^2 + y^2$) / Nicolas Brisebarre, Mioara Joldes, Peter Kornerup, Erik Martin-Dorel, and Jean-Michel Muller / 23 Session 3: Transcendental Methods: Chair: Naofumi Takagi Towards a Quaternion Complex Logarithmic Number System / Mark G. Arnold, John Cowles, Vassilis Paliouras, and Ioannis Kouretas / 33 ROM-less LNS / R. Che Ismail and J. N. Coleman / 43 Composite Iterative Algorithm and Architecture for q-th Root Calculation / Alvaro Vazquez and Javier D. Bruguera / 52 On the Fixed-Point Accuracy Analysis and Optimization of FFT Units with CORDIC Multipliers / Omid Sarbishei and Katarzyna Radecka / 62 Session 4: Special Session on Industrial Practices: Chair: Mike Schulte Self Checking in Current Floating-Point Units / Daniel Lipetz and Eric Schwarz / 73 How to Square Floats Accurately and Efficiently on the ST231 Integer Processor/ Claude-Pierre Jeannerod, Jingyan Jourdan-Lu, Christophe Monat, and Guillaume Revy / 77 A 1.5 Ghz VLIW DSP CPU with Integrated Floating Point and Fixed Point Instructions in 40 nm CMOS / Timothy Anderson, Due Bui, Shriram Moharil, Soujanya Narnur, Mujibur Rahman, Anthony Lell, Eric Biscondi, Ashish Shrivastava, Peter Dent, Mingjian Yan, and Hasan Mahmood / 82 The POWER7 Binary Floating-Point Unit / Maarten Boersma, Michael Kroner, Christophe Layer, Petra Leber, Silvia M. Muller, and Kerstin Schelm / 87 Session 5: Addition: Chair: Alberto Nannarelli Accelerating Computations on FPGA Carry Chains by Operand Compaction / Thomas B. Preusss er, Martin Zabel, and Rainer G. Spallek / 95 Fast Ripple-Carry Adders in Standard-Cell CMOS VLSI / Neil Burgess / 103 A Family of High Radix Signed Digit Adders / Saeid Gorgin and Ghassem Jaberipur / 112 Session 6: Floating-Point Units: Chair: Javier Bruguera Fused Multiply-Add Microarchitecture Comprising Separate Early-Normalizing Multiply and Add Pipelines / David R. Lutz / 123 Latency Sensitive FMA Design / Sameh Galal and Mark Horowitz / 129 The IBM zEnterprise-196 Decimal Floating-Point Accelerator / Steven Carlough, Adam Collura, Silvia Mueller, and Michael Kroener / 139 Session 7: Division, Square-Root and Reciprocal Square-Root: Chair: Peter Kornerup Radix-8 Digit-by-Rounding: Achieving High-Performance Reciprocals, Square Roots, and Reciprocal Square Roots / J. Adam Butts, Ping Tak Peter Tang, Ron O. Dror, and David E. Shaw / 149 Tight Certification Techniques for Digit-by-Rounding Algorithms with Application to a New 1/sqrt(x) Design / Ping Tak Peter Tang, J. Adam Butts, Ron O. Dror, and David E. Shaw / 159 Radix-16 Combined Division and Square Root Unit / Alberto Nannarelli / 169 A Prescale-Lookup-Postscale Additive Procedure for Obtaining a Single Precision Ulp Accurate Reciprocal / David W. Matula and Mihai T. Panu / 177 Session 8: Special Session on High Performance Arithmetic for FPGA's: Chair: Martin Langhammer Teraflop FPGA Design / Martin Langhammer / 187 The Arithmetic Operators You Will Never See in a Microprocessor / Florent de Dinechin / 189 Accelerating Large-Scale HPC Applications Using FPGAs / Rob Dimond, Sebastien Racaniere, and Oliver Pell / 191 Session 9: Arithmetic Algorithms for Cryptography: Chair: David Matula A General Approach for Improving RNS Montgomery Exponentiation Using Pre-processing / Filippo Gandino, Fabrizio Lamberti, Paolo Montuschi, and Jean-Claude Bajard / 195 Bit-Sliced Binary Normal Basis Multiplication / Billy Bob Brumley and Dan Page / 205 Efficient SIMD Arithmetic Modulo a Mersenne Number / Joppe W. Bos, Thorsten Kleinjung, Arjen K. Lenstra, and Peter L. Montgomery / 213 Session 10: Tools for Formal Certified Code: Chair: Martin Schmookler Automatic Generation of Code for the Evaluation of Constant Expressions at Any Precision with a Guaranteed Error Bound / Sylvain Chevillard / 225 Automatic Generation of Fast and Certified Code for Polynomial Evaluation / Christophe Mouilleron and Guillaume Revy / 233 Flocq: A Unified Library for Proving Floating-Point Algorithms in Coq / Sylvie Boldo and Guillaume Melquiond / 243 Author Index / 253

rawbooktitle:
{Proceedings of the 20th IEEE Symposium on Computer Arithmetic, July 25--27, 2011, T{\"u}bingen, Germany}

rawtitle:
{Proceedings of the 20th IEEE Symposium on Computer Arithmetic, July 25--27, 2011, T{\"u}bingen, Germany}

rawTOC:
Foreword / ix \\ Dedication / x \\ Steering Committee / xv \\ Symposium Committee / xvi \\ Program Committee / xvii \\ Additional Reviewers / xviii \\ Corporate Sponsors / xix \\ Session 1: Keynote Talk: Chair: Eric Schwarz and Vojin G. Oklobdzija \\ High Intelligence Computing: The New Era of High Performance Computing / Ralf Fischer / 3 \\ Session 2: Multiple-Precision Algorithms: Chair: Marius Cornea \\ Short Division of Long Integers / David Harvey and Paul Zimmermann / 7 \\ High Degree Toom'n'Half for Balanced and Unbalanced Multiplication / Marco Bodrato / 15 \\ Augmented Precision Square Roots and 2-D Norms, and Discussion on Correctly Rounding sqrt($x^2 + y^2$) / Nicolas Brisebarre, Mioara Jolde{\c{s}}, Peter Kornerup, Erik Martin-Dorel, and Jean-Michel Muller / 23 \\ Session 3: Transcendental Methods: Chair: Naofumi Takagi \\ Towards a Quaternion Complex Logarithmic Number System / Mark G. Arnold, John Cowles, Vassilis Paliouras, and Ioannis Kouretas / 33 \\ ROM-less LNS / R. Che Ismail and J. N. Coleman / 43 \\ Composite Iterative Algorithm and Architecture for q-th Root Calculation / Alvaro Vazquez and Javier D. Bruguera / 52 \\ On the Fixed-Point Accuracy Analysis and Optimization of FFT Units with CORDIC Multipliers / Omid Sarbishei and Katarzyna Radecka / 62 \\ Session 4: Special Session on Industrial Practices: Chair: Mike Schulte \\ Self Checking in Current Floating-Point Units / Daniel Lipetz and Eric Schwarz / 73 \\ How to Square Floats Accurately and Efficiently on the ST231 Integer Processor/ Claude-Pierre Jeannerod, Jingyan Jourdan-Lu, Christophe Monat, and Guillaume Revy / 77 \\ A 1.5 Ghz VLIW DSP CPU with Integrated Floating Point and Fixed Point Instructions in 40 nm CMOS / Timothy Anderson, Due Bui, Shriram Moharil, Soujanya Narnur, Mujibur Rahman, Anthony Lell, Eric Biscondi, Ashish Shrivastava, Peter Dent, Mingjian Yan, and Hasan Mahmood / 82 \\ The POWER7 Binary Floating-Point Unit / Maarten Boersma, Michael Kroner, Christophe Layer, Petra Leber, Silvia M. Muller, and Kerstin Schelm / 87 \\ Session 5: Addition: Chair: Alberto Nannarelli \\ Accelerating Computations on FPGA Carry Chains by Operand Compaction / Thomas B. Preus{\ss}er, Martin Zabel, and Rainer G. Spallek / 95 \\ Fast Ripple-Carry Adders in Standard-Cell CMOS VLSI / Neil Burgess / 103 \\ A Family of High Radix Signed Digit Adders / Saeid Gorgin and Ghassem Jaberipur / 112 \\ Session 6: Floating-Point Units: Chair: Javier Bruguera \\ Fused Multiply-Add Microarchitecture Comprising Separate Early-Normalizing Multiply and Add Pipelines / David R. Lutz / 123 \\ Latency Sensitive FMA Design / Sameh Galal and Mark Horowitz / 129 \\ The IBM zEnterprise-196 Decimal Floating-Point Accelerator / Steven Carlough, Adam Collura, Silvia Mueller, and Michael Kroener / 139 \\ Session 7: Division, Square-Root and Reciprocal Square-Root: Chair: Peter Kornerup \\ Radix-8 Digit-by-Rounding: Achieving High-Performance Reciprocals, Square Roots, and Reciprocal Square Roots / J. Adam Butts, Ping Tak Peter Tang, Ron O. Dror, and David E. Shaw / 149 \\ Tight Certification Techniques for Digit-by-Rounding Algorithms with Application to a New 1/sqrt(x) Design / Ping Tak Peter Tang, J. Adam Butts, Ron O. Dror, and David E. Shaw / 159 \\ Radix-16 Combined Division and Square Root Unit / Alberto Nannarelli / 169 \\ A Prescale-Lookup-Postscale Additive Procedure for Obtaining a Single Precision Ulp Accurate Reciprocal / David W. Matula and Mihai T. Panu / 177 \\ Session 8: Special Session on High Performance Arithmetic for FPGA's: Chair: Martin Langhammer \\ Teraflop FPGA Design / Martin Langhammer / 187 \\ The Arithmetic Operators You Will Never See in a Microprocessor / Florent de Dinechin / 189 \\ Accelerating Large-Scale HPC Applications Using FPGAs / Rob Dimond, Sebastien Racaniere, and Oliver Pell / 191 \\ Session 9: Arithmetic Algorithms for Cryptography: Chair: David Matula \\ A General Approach for Improving RNS Montgomery Exponentiation Using Pre-processing / Filippo Gandino, Fabrizio Lamberti, Paolo Montuschi, and Jean-Claude Bajard / 195 \\ Bit-Sliced Binary Normal Basis Multiplication / Billy Bob Brumley and Dan Page / 205 \\ Efficient SIMD Arithmetic Modulo a Mersenne Number / Joppe W. Bos, Thorsten Kleinjung, Arjen K. Lenstra, and Peter L. Montgomery / 213 \\ Session 10: Tools for Formal Certified Code: Chair: Martin Schmookler \\ Automatic Generation of Code for the Evaluation of Constant Expressions at Any Precision with a Guaranteed Error Bound / Sylvain Chevillard / 225 \\ Automatic Generation of Fast and Certified Code for Polynomial Evaluation / Christophe Mouilleron and Guillaume Revy / 233 \\ Flocq: A Unified Library for Proving Floating-Point Algorithms in Coq / Sylvie Boldo and Guillaume Melquiond / 243 \\ Author Index / 253

entry:
@Proceedings{Schwarz:2011:PIS,
  editor =       "Eric Schwarz and Vojin G. Oklobdzija",
  booktitle =    "{Proceedings of the 20th IEEE Symposium on Computer
                 Arithmetic, July 25--27, 2011, T{\"u}bingen, Germany}",
  title =        "{Proceedings of the 20th IEEE Symposium on Computer
                 Arithmetic, July 25--27, 2011, T{\"u}bingen, Germany}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xix + 253",
  year =         "2011",
  ISBN =         "0-7695-4318-9, 1-4244-9457-5",
  ISBN-13 =      "978-0-7695-4318-5, 978-1-4244-9457-6",
  LCCN =         "QA76.6",
  bibdate =      "Sat Aug 20 09:19:17 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-20",
  tableofcontents = "Foreword / ix \\
                 Dedication / x \\
                 Steering Committee / xv \\
                 Symposium Committee / xvi \\
                 Program Committee / xvii \\
                 Additional Reviewers / xviii \\
                 Corporate Sponsors / xix \\
                 Session 1: Keynote Talk: Chair: Eric Schwarz and Vojin
                 G. Oklobdzija \\
                 High Intelligence Computing: The New Era of High
                 Performance Computing / Ralf Fischer / 3 \\
                 Session 2: Multiple-Precision Algorithms: Chair: Marius
                 Cornea \\
                 Short Division of Long Integers / David Harvey and Paul
                 Zimmermann / 7 \\
                 High Degree Toom'n'Half for Balanced and Unbalanced
                 Multiplication / Marco Bodrato / 15 \\
                 Augmented Precision Square Roots and 2-D Norms, and
                 Discussion on Correctly Rounding sqrt($x^2 + y^2$) /
                 Nicolas Brisebarre, Mioara Jolde{\c{s}}, Peter
                 Kornerup, Erik Martin-Dorel, and Jean-Michel Muller /
                 23 \\
                 Session 3: Transcendental Methods: Chair: Naofumi
                 Takagi \\
                 Towards a Quaternion Complex Logarithmic Number System
                 / Mark G. Arnold, John Cowles, Vassilis Paliouras, and
                 Ioannis Kouretas / 33 \\
                 ROM-less LNS / R. Che Ismail and J. N. Coleman / 43 \\
                 Composite Iterative Algorithm and Architecture for q-th
                 Root Calculation / Alvaro Vazquez and Javier D.
                 Bruguera / 52 \\
                 On the Fixed-Point Accuracy Analysis and Optimization
                 of FFT Units with CORDIC Multipliers / Omid Sarbishei
                 and Katarzyna Radecka / 62 \\
                 Session 4: Special Session on Industrial Practices:
                 Chair: Mike Schulte \\
                 Self Checking in Current Floating-Point Units / Daniel
                 Lipetz and Eric Schwarz / 73 \\
                 How to Square Floats Accurately and Efficiently on the
                 ST231 Integer Processor/ Claude-Pierre Jeannerod,
                 Jingyan Jourdan-Lu, Christophe Monat, and Guillaume
                 Revy / 77 \\
                 A 1.5 Ghz VLIW DSP CPU with Integrated Floating Point
                 and Fixed Point Instructions in 40 nm CMOS / Timothy
                 Anderson, Due Bui, Shriram Moharil, Soujanya Narnur,
                 Mujibur Rahman, Anthony Lell, Eric Biscondi, Ashish
                 Shrivastava, Peter Dent, Mingjian Yan, and Hasan
                 Mahmood / 82 \\
                 The POWER7 Binary Floating-Point Unit / Maarten
                 Boersma, Michael Kroner, Christophe Layer, Petra Leber,
                 Silvia M. Muller, and Kerstin Schelm / 87 \\
                 Session 5: Addition: Chair: Alberto Nannarelli \\
                 Accelerating Computations on FPGA Carry Chains by
                 Operand Compaction / Thomas B. Preus{\ss}er, Martin
                 Zabel, and Rainer G. Spallek / 95 \\
                 Fast Ripple-Carry Adders in Standard-Cell CMOS VLSI /
                 Neil Burgess / 103 \\
                 A Family of High Radix Signed Digit Adders / Saeid
                 Gorgin and Ghassem Jaberipur / 112 \\
                 Session 6: Floating-Point Units: Chair: Javier Bruguera
                 \\
                 Fused Multiply-Add Microarchitecture Comprising
                 Separate Early-Normalizing Multiply and Add Pipelines /
                 David R. Lutz / 123 \\
                 Latency Sensitive FMA Design / Sameh Galal and Mark
                 Horowitz / 129 \\
                 The IBM zEnterprise-196 Decimal Floating-Point
                 Accelerator / Steven Carlough, Adam Collura, Silvia
                 Mueller, and Michael Kroener / 139 \\
                 Session 7: Division, Square-Root and Reciprocal
                 Square-Root: Chair: Peter Kornerup \\
                 Radix-8 Digit-by-Rounding: Achieving High-Performance
                 Reciprocals, Square Roots, and Reciprocal Square Roots
                 / J. Adam Butts, Ping Tak Peter Tang, Ron O. Dror, and
                 David E. Shaw / 149 \\
                 Tight Certification Techniques for Digit-by-Rounding
                 Algorithms with Application to a New 1/sqrt(x) Design /
                 Ping Tak Peter Tang, J. Adam Butts, Ron O. Dror, and
                 David E. Shaw / 159 \\
                 Radix-16 Combined Division and Square Root Unit /
                 Alberto Nannarelli / 169 \\
                 A Prescale-Lookup-Postscale Additive Procedure for
                 Obtaining a Single Precision Ulp Accurate Reciprocal /
                 David W. Matula and Mihai T. Panu / 177 \\
                 Session 8: Special Session on High Performance
                 Arithmetic for FPGA's: Chair: Martin Langhammer \\
                 Teraflop FPGA Design / Martin Langhammer / 187 \\
                 The Arithmetic Operators You Will Never See in a
                 Microprocessor / Florent de Dinechin / 189 \\
                 Accelerating Large-Scale HPC Applications Using FPGAs /
                 Rob Dimond, Sebastien Racaniere, and Oliver Pell / 191
                 \\
                 Session 9: Arithmetic Algorithms for Cryptography:
                 Chair: David Matula \\
                 A General Approach for Improving RNS Montgomery
                 Exponentiation Using Pre-processing / Filippo Gandino,
                 Fabrizio Lamberti, Paolo Montuschi, and Jean-Claude
                 Bajard / 195 \\
                 Bit-Sliced Binary Normal Basis Multiplication / Billy
                 Bob Brumley and Dan Page / 205 \\
                 Efficient SIMD Arithmetic Modulo a Mersenne Number /
                 Joppe W. Bos, Thorsten Kleinjung, Arjen K. Lenstra, and
                 Peter L. Montgomery / 213 \\
                 Session 10: Tools for Formal Certified Code: Chair:
                 Martin Schmookler \\
                 Automatic Generation of Code for the Evaluation of
                 Constant Expressions at Any Precision with a Guaranteed
                 Error Bound / Sylvain Chevillard / 225 \\
                 Automatic Generation of Fast and Certified Code for
                 Polynomial Evaluation / Christophe Mouilleron and
                 Guillaume Revy / 233 \\
                 Flocq: A Unified Library for Proving Floating-Point
                 Algorithms in Coq / Sylvie Boldo and Guillaume
                 Melquiond / 243 \\
                 Author Index / 253",
}


bibtype: book
filename: elefunt.bib
label: Hwu:2012:GCG
editor: Wen-mei Hwu
booktitle: GPU computing gems
title: GPU computing gems
publisher: Morgan Kaufmann
address: Boston, MA
edition: Jade
pages: xvi + 541 + 16
year: 2012
ISBN: 0-12-385963-8 (hardback) OR 0123859638 (hardback)
ISBN13: 978-0-12-385963-1 (hardback) OR 9780123859631 (hardback)
LCCN: T385 .G6875 2012
bibdate: Sat Feb 8 18:16:05 MST 2014
bibtimestamp: 2014.02.08 18:16:05 MST
series: Applications of GPU computing series
acknowledgement: ack-nhfb
rawbooktitle: {GPU} computing gems
raweditor: Wen-mei Hwu
rawtitle: {GPU} computing gems
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; z3950.loc.gov:7090/Voyager

abstract:
Since the introduction of CUDA in 2007, more than 100 million computers with CUDA capable GPUs have been shipped to end users. GPU computing application developers can now expect their application to have a mass market. With the introduction of OpenCL in 2010, researchers can now expect to develop GPU applications that can run on hardware from multiple vendors.

subject:
Graphics processing units; Programming; Imaging systems; Computer graphics; Image processing; Digital techniques

TOC:
Part 1: Parallel Algorithms and Data Structures --- Paulius Micikevicius, NVIDIA 1 Large-Scale GPU Search 2 Edge v. Node Parallelism for Graph Centrality Metrics 3 Optimizing parallel prefix operations for the Fermi architecture 4 Building an Efficient Hash Table on the GPU 5 An Efficient CUDA Algorithm for the Maximum Network Flow Problem 6 On Improved Memory Access Patterns for Cellular Automata Using CUDA 7 Fast Minimum Spanning Tree Computation on Large Graphs 8 Fast in-place sorting with CUDA based on bitonic sort Part 2: Numerical Algorithms --- Frank Jargstorff, NVIDIA 9 Interval Arithmetic in CUDA 10 Approximating the erfinv Function 11 A Hybrid Method for Solving Tridiagonal Systems on the GPU 12 LU Decomposition in CULA 13 GPU Accelerated Derivative-free Optimization Part 3: Engineering Simulation --- Peng Wang, NVIDIA 14 Large-scale gas turbine simulations on GPU clusters 15 GPU acceleration of rarefied gas dynamic simulations 16 Assembly of Finite Element Methods on Graphics Processors 17 CUDA implementation of Vertex-Centered, Finite Volume CFD methods on Unstructured Grids with Flow Control Applications 18 Solving Wave Equations on Unstructured Geometries 19 Fast electromagnetic integral equation solvers on graphics processing units (GPUs) Part 4: Interactive Physics for Games and Engineering Simulation --- Richard Tonge, NVIDIA 20 Solving Large Multi-Body Dynamics Problems on the GPU 21 Implicit FEM Solver in CUDA 22 Real-time Adaptive GPU multi-agent path planning Part 5: Computational Finance --- Thomas Bradley, NVIDIA 23 High performance finite difference PDE solvers on GPUs for financial option pricing 24 Identifying and Mitigating Credit Risk using Large-scale Economic Capital Simulations 25 Financial Market Value-at-Risk Estimation using the Monte Carlo Method Part 6: Programming Tools and Techniques --- Cliff Wooley, NVIDIA 26 Thrust: A Productivity-Oriented Library for CUDA 27 GPU Scripting and Code Generation with PyCUDA 28 Jacket: GPU Powered MATLAB Acceleration 29 Accelerating Development and Execution Speed with Just In Time GPU Code Generation 30 GPU Application Development, Debugging, and Performance Tuning with GPU Ocelot 31 Abstraction for AoS and SoA Layout in C++ 32 Processing Device Arrays with C++ Metaprogramming 33 GPU Metaprogramming: A Case Study in Biologically-Inspired Machine Vision 34 A Hybridization Methodology for High-Performance Linear Algebra Software for GPUs 35 Dynamic Load Balancing using Work-Stealing 36 Applying software-managed caching and CPU/GPU task scheduling for accelerating dynamic workloads

rawabstract:
Since the introduction of CUDA in 2007, more than 100 million computers with CUDA capable GPUs have been shipped to end users. GPU computing application developers can now expect their application to have a mass market. With the introduction of OpenCL in 2010, researchers can now expect to develop GPU applications that can run on hardware from multiple vendors.

rawTOC:
Part 1: Parallel Algorithms and Data Structures --- Paulius Micikevicius, NVIDIA \\ 1 Large-Scale GPU Search \\ 2 Edge v. Node Parallelism for Graph Centrality Metrics \\ 3 Optimizing parallel prefix operations for the Fermi architecture \\ 4 Building an Efficient Hash Table on the GPU \\ 5 An Efficient CUDA Algorithm for the Maximum Network Flow Problem \\ 6 On Improved Memory Access Patterns for Cellular Automata Using CUDA \\ 7 Fast Minimum Spanning Tree Computation on Large Graphs \\ 8 Fast in-place sorting with CUDA based on bitonic sort \\ Part 2: Numerical Algorithms --- Frank Jargstorff, NVIDIA \\ 9 Interval Arithmetic in CUDA \\ 10 Approximating the erfinv Function \\ 11 A Hybrid Method for Solving Tridiagonal Systems on the GPU \\ 12 LU Decomposition in CULA \\ 13 GPU Accelerated Derivative-free Optimization \\ Part 3: Engineering Simulation --- Peng Wang, NVIDIA \\ 14 Large-scale gas turbine simulations on GPU clusters \\ 15 GPU acceleration of rarefied gas dynamic simulations \\ 16 Assembly of Finite Element Methods on Graphics Processors \\ 17 CUDA implementation of Vertex-Centered, Finite Volume CFD methods on Unstructured Grids with Flow Control Applications \\ 18 Solving Wave Equations on Unstructured Geometries \\ 19 Fast electromagnetic integral equation solvers on graphics processing units (GPUs) \\ Part 4: Interactive Physics for Games and Engineering Simulation --- Richard Tonge, NVIDIA \\ 20 Solving Large Multi-Body Dynamics Problems on the GPU \\ 21 Implicit FEM Solver in CUDA \\ 22 Real-time Adaptive GPU multi-agent path planning \\ Part 5: Computational Finance --- Thomas Bradley, NVIDIA \\ 23 High performance finite difference PDE solvers on GPUs for financial option pricing \\ 24 Identifying and Mitigating Credit Risk using Large-scale Economic Capital Simulations \\ 25 Financial Market Value-at-Risk Estimation using the Monte Carlo Method \\ Part 6: Programming Tools and Techniques --- Cliff Wooley, NVIDIA \\ 26 Thrust: A Productivity-Oriented Library for CUDA \\ 27 GPU Scripting and Code Generation with PyCUDA \\ 28 Jacket: GPU Powered MATLAB Acceleration \\ 29 Accelerating Development and Execution Speed with Just In Time GPU Code Generation \\ 30 GPU Application Development, Debugging, and Performance Tuning with GPU Ocelot \\ 31 Abstraction for AoS and SoA Layout in C++ \\ 32 Processing Device Arrays with C++ Metaprogramming \\ 33 GPU Metaprogramming: A Case Study in Biologically-Inspired Machine Vision \\ 34 A Hybridization Methodology for High-Performance Linear Algebra Software for GPUs \\ 35 Dynamic Load Balancing using Work-Stealing \\ 36 Applying software-managed caching and CPU/GPU task scheduling for accelerating dynamic workloads

entry:
@Book{Hwu:2012:GCG,
  editor =       "Wen-mei Hwu",
  booktitle =    "{GPU} computing gems",
  title =        "{GPU} computing gems",
  publisher =    "Morgan Kaufmann",
  address =      "Boston, MA",
  edition =      "Jade",
  pages =        "xvi + 541 + 16",
  year =         "2012",
  ISBN =         "0-12-385963-8 (hardback)",
  ISBN-13 =      "978-0-12-385963-1 (hardback)",
  LCCN =         "T385 .G6875 2012",
  bibdate =      "Sat Feb 8 18:16:05 MST 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Applications of GPU computing series",
  abstract =     "Since the introduction of CUDA in 2007, more than 100
                 million computers with CUDA capable GPUs have been
                 shipped to end users. GPU computing application
                 developers can now expect their application to have a
                 mass market. With the introduction of OpenCL in 2010,
                 researchers can now expect to develop GPU applications
                 that can run on hardware from multiple vendors.",
  acknowledgement = ack-nhfb,
  subject =      "Graphics processing units; Programming; Imaging
                 systems; Computer graphics; Image processing; Digital
                 techniques",
  tableofcontents = "Part 1: Parallel Algorithms and Data Structures ---
                 Paulius Micikevicius, NVIDIA \\
                 1 Large-Scale GPU Search \\
                 2 Edge v. Node Parallelism for Graph Centrality Metrics
                 \\
                 3 Optimizing parallel prefix operations for the Fermi
                 architecture \\
                 4 Building an Efficient Hash Table on the GPU \\
                 5 An Efficient CUDA Algorithm for the Maximum Network
                 Flow Problem \\
                 6 On Improved Memory Access Patterns for Cellular
                 Automata Using CUDA \\
                 7 Fast Minimum Spanning Tree Computation on Large
                 Graphs \\
                 8 Fast in-place sorting with CUDA based on bitonic sort
                 \\
                 Part 2: Numerical Algorithms --- Frank Jargstorff,
                 NVIDIA \\
                 9 Interval Arithmetic in CUDA \\
                 10 Approximating the erfinv Function \\
                 11 A Hybrid Method for Solving Tridiagonal Systems on
                 the GPU \\
                 12 LU Decomposition in CULA \\
                 13 GPU Accelerated Derivative-free Optimization \\
                 Part 3: Engineering Simulation --- Peng Wang, NVIDIA
                 \\
                 14 Large-scale gas turbine simulations on GPU clusters
                 \\
                 15 GPU acceleration of rarefied gas dynamic simulations
                 \\
                 16 Assembly of Finite Element Methods on Graphics
                 Processors \\
                 17 CUDA implementation of Vertex-Centered, Finite
                 Volume CFD methods on Unstructured Grids with Flow
                 Control Applications \\
                 18 Solving Wave Equations on Unstructured Geometries
                 \\
                 19 Fast electromagnetic integral equation solvers on
                 graphics processing units (GPUs) \\
                 Part 4: Interactive Physics for Games and Engineering
                 Simulation --- Richard Tonge, NVIDIA \\
                 20 Solving Large Multi-Body Dynamics Problems on the
                 GPU \\
                 21 Implicit FEM Solver in CUDA \\
                 22 Real-time Adaptive GPU multi-agent path planning \\
                 Part 5: Computational Finance --- Thomas Bradley,
                 NVIDIA \\
                 23 High performance finite difference PDE solvers on
                 GPUs for financial option pricing \\
                 24 Identifying and Mitigating Credit Risk using
                 Large-scale Economic Capital Simulations \\
                 25 Financial Market Value-at-Risk Estimation using the
                 Monte Carlo Method \\
                 Part 6: Programming Tools and Techniques --- Cliff
                 Wooley, NVIDIA \\
                 26 Thrust: A Productivity-Oriented Library for CUDA \\
                 27 GPU Scripting and Code Generation with PyCUDA \\
                 28 Jacket: GPU Powered MATLAB Acceleration \\
                 29 Accelerating Development and Execution Speed with
                 Just In Time GPU Code Generation \\
                 30 GPU Application Development, Debugging, and
                 Performance Tuning with GPU Ocelot \\
                 31 Abstraction for AoS and SoA Layout in C++ \\
                 32 Processing Device Arrays with C++ Metaprogramming
                 \\
                 33 GPU Metaprogramming: A Case Study in
                 Biologically-Inspired Machine Vision \\
                 34 A Hybridization Methodology for High-Performance
                 Linear Algebra Software for GPUs \\
                 35 Dynamic Load Balancing using Work-Stealing \\
                 36 Applying software-managed caching and CPU/GPU task
                 scheduling for accelerating dynamic workloads",
}


bibtype: book
filename: elefunt.bib
label: Arfken:2013:MMP
author: George B. (George Brown) Arfken and Hans-Jurgen Weber and Frank E. Harris
booktitle: Mathematical Methods for Physicists: a Comprehensive Guide
title: Mathematical Methods for Physicists: a Comprehensive Guide
publisher: pub-ELSEVIER-ACADEMIC
address: pub-ELSEVIER-ACADEMIC:adr
edition: Seventh
pages: xiii + 1205
year: 2013
ISBN: 0-12-384654-4 (hardcover) OR 0123846544 (hardcover)
ISBN13: 978-0-12-384654-9 (hardcover) OR 9780123846549 (hardcover)
LCCN: QA37.3 .A74 2013
bibdate: Thu May 3 08:02:53 MDT 2012
bibtimestamp: 2012.05.03 08:02:53 MDT
subject: Mathematical analysis; Mathematical physics
acknowledgement: ack-nhfb
rawauthor: George B. (George Brown) Arfken and Hans-J{\"u}rgen Weber and Frank E. Harris
rawbooktitle: Mathematical Methods for Physicists: a Comprehensive Guide
rawtitle: Mathematical Methods for Physicists: a Comprehensive Guide
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/h/harris-frank-e.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana2010.bib; jenson.stanford.edu:2210/unicorn

TOC:
Preface / xi--xiii 1: Mathematical Preliminaries / 1--82 2: Determinants and Matrices / 83--121 3: Vector Analysis / 123--203 4: Tensors and Differential Forms / 205--249 5: Vector Spaces / 251--297 6: Eigenvalue Problems / 299--328 7: Ordinary Differential Equations / 329--380 8: Sturm--Liouville Theory / 381--399 9: Partial Differential Equations / 401--445 10: Green's Functions / 447--467 11: Complex Variable Theory / 469--550 12: Further Topics in Analysis / 551--598 13: Gamma Function / 599--641 14: Bessel Functions / 643--713 15: Legendre Functions / 715--772 16: Angular Momentum / 773--814 17: Group Theory / 815--870 18: More Special Functions / 871--933 19: Fourier Series / 935--962 20: Integral Transforms / 963--1046 21: Integral Equations / 1047--1079 22: Calculus of Variations / 1081--1124 23: Probability and Statistics / 1125--1179 Index / 1181--1205

rawTOC:
Preface / xi--xiii \\ 1: Mathematical Preliminaries / 1--82 \\ 2: Determinants and Matrices / 83--121 \\ 3: Vector Analysis / 123--203 \\ 4: Tensors and Differential Forms / 205--249 \\ 5: Vector Spaces / 251--297 \\ 6: Eigenvalue Problems / 299--328 \\ 7: Ordinary Differential Equations / 329--380 \\ 8: Sturm--Liouville Theory / 381--399 \\ 9: Partial Differential Equations / 401--445 \\ 10: Green's Functions / 447--467 \\ 11: Complex Variable Theory / 469--550 \\ 12: Further Topics in Analysis / 551--598 \\ 13: Gamma Function / 599--641 \\ 14: Bessel Functions / 643--713 \\ 15: Legendre Functions / 715--772 \\ 16: Angular Momentum / 773--814 \\ 17: Group Theory / 815--870 \\ 18: More Special Functions / 871--933 \\ 19: Fourier Series / 935--962 \\ 20: Integral Transforms / 963--1046 \\ 21: Integral Equations / 1047--1079 \\ 22: Calculus of Variations / 1081--1124 \\ 23: Probability and Statistics / 1125--1179 \\ Index / 1181--1205

entry:
@Book{Arfken:2013:MMP,
  author =       "George B. (George Brown) Arfken and Hans-J{\"u}rgen
                 Weber and Frank E. Harris",
  booktitle =    "Mathematical Methods for Physicists: a Comprehensive
                 Guide",
  title =        "Mathematical Methods for Physicists: a Comprehensive
                 Guide",
  publisher =    pub-ELSEVIER-ACADEMIC,
  address =      pub-ELSEVIER-ACADEMIC:adr,
  edition =      "Seventh",
  pages =        "xiii + 1205",
  year =         "2013",
  ISBN =         "0-12-384654-4 (hardcover)",
  ISBN-13 =      "978-0-12-384654-9 (hardcover)",
  LCCN =         "QA37.3 .A74 2013",
  bibdate =      "Thu May 3 08:02:53 MDT 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/harris-frank-e.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 jenson.stanford.edu:2210/unicorn",
  acknowledgement = ack-nhfb,
  subject =      "Mathematical analysis; Mathematical physics",
  tableofcontents = "Preface / xi--xiii \\
                 1: Mathematical Preliminaries / 1--82 \\
                 2: Determinants and Matrices / 83--121 \\
                 3: Vector Analysis / 123--203 \\
                 4: Tensors and Differential Forms / 205--249 \\
                 5: Vector Spaces / 251--297 \\
                 6: Eigenvalue Problems / 299--328 \\
                 7: Ordinary Differential Equations / 329--380 \\
                 8: Sturm--Liouville Theory / 381--399 \\
                 9: Partial Differential Equations / 401--445 \\
                 10: Green's Functions / 447--467 \\
                 11: Complex Variable Theory / 469--550 \\
                 12: Further Topics in Analysis / 551--598 \\
                 13: Gamma Function / 599--641 \\
                 14: Bessel Functions / 643--713 \\
                 15: Legendre Functions / 715--772 \\
                 16: Angular Momentum / 773--814 \\
                 17: Group Theory / 815--870 \\
                 18: More Special Functions / 871--933 \\
                 19: Fourier Series / 935--962 \\
                 20: Integral Transforms / 963--1046 \\
                 21: Integral Equations / 1047--1079 \\
                 22: Calculus of Variations / 1081--1124 \\
                 23: Probability and Statistics / 1125--1179 \\
                 Index / 1181--1205",
}


bibtype: proceedings
filename: elefunt.bib
label: IEEE:2013:PIS
editor: IEEE
booktitle: Proceedings of the 21st IEEE Symposium on Computer Arithmetic, Austin, Texas, USA, 8--10 April 2013
title: Proceedings of the 21st IEEE Symposium on Computer Arithmetic, Austin, Texas, USA, 8--10 April 2013
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xvi + 229
year: 2013
ISBN: 0-7695-4957-8 OR 0769549578
ISBN13: 978-0-7695-4957-6 OR 9780769549576
ISSN: 1063-6889 OR 10636889
LCCN: QA76.9.C62 S95 2013
bibdate: Sat Aug 01 08:03:11 2013
bibtimestamp: 2013.08.01 08:03:11 ???
acknowledgement: ack-nhfb
raweditor: {IEEE}
bibsource:
https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

keywords:
computer arithmetic units; correctness proofs; cryptography; domain specific designs; error analysis; exascale computing; floating point arithmetic; floating-point error analysis; formal verification; function approximation; modular arithmetic; theorem proving; verification

rawbooktitle:
{Proceedings of the 21st IEEE Symposium on Computer Arithmetic, Austin, Texas, USA, 8--10 April 2013}

rawtitle:
{Proceedings of the 21st IEEE Symposium on Computer Arithmetic, Austin, Texas, USA, 8--10 April 2013}

entry:
@Proceedings{IEEE:2013:PIS,
  editor =       "{IEEE}",
  booktitle =    "{Proceedings of the 21st IEEE Symposium on Computer
                 Arithmetic, Austin, Texas, USA, 8--10 April 2013}",
  title =        "{Proceedings of the 21st IEEE Symposium on Computer
                 Arithmetic, Austin, Texas, USA, 8--10 April 2013}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xvi + 229",
  year =         "2013",
  ISBN =         "0-7695-4957-8",
  ISBN-13 =      "978-0-7695-4957-6",
  ISSN =         "1063-6889",
  LCCN =         "QA76.9.C62 S95 2013",
  bibdate =      "Sat Aug 01 08:03:11 2013",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  keywords =     "computer arithmetic units; correctness proofs;
                 cryptography; domain specific designs; error analysis;
                 exascale computing; floating point arithmetic;
                 floating-point error analysis; formal verification;
                 function approximation; modular arithmetic; theorem
                 proving; verification",
}


bibtype: article
filename: elefunt.bib
label: Dunster:2024:CPC
author: T. M. Dunster and A. Gil and J. Segura
title: Computation of parabolic cylinder functions having complex argument
journal: j-APPL-NUM-MATH
volume: 197
pages: 230--242
month: mar
monthnumber: 3
year: 2024
CODEN: ANMAEL
DOI: https://doi.org/10.1016/j.apnum.2023.11.017
ISSN: 0168-9274 (print), 1873-5460 (electronic) OR 01689274 (print), 18735460 (electronic)
ISSNL: 0168-9274 OR 01689274
bibdate: Mon Dec 18 15:47:31 MST 2023
bibtimestamp: 2023.12.18 15:47:31 MST
URL: http://www.sciencedirect.com/science/article/pii/S0168927423002969
fjournal: Applied Numerical Mathematics: Transactions of IMACS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/01689274
rawauthor: T. M. Dunster and A. Gil and J. Segura
rawtitle: Computation of parabolic cylinder functions having complex argument
entry:
@Article{Dunster:2024:CPC,
  author =       "T. M. Dunster and A. Gil and J. Segura",
  title =        "Computation of parabolic cylinder functions having
                 complex argument",
  journal =      j-APPL-NUM-MATH,
  volume =       "197",
  number =       "??",
  pages =        "230--242",
  month =        mar,
  year =         "2024",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/j.apnum.2023.11.017",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Mon Dec 18 15:47:31 MST 2023",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0168927423002969",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}


bibtype: proceedings
filename: elefunt.bib
label: Hong:2014:MSI
editor: Hoon Hong and Chee Yap
volume: 8592
publisher: pub-SV
address: pub-SV:adr
pages: xxxii + 735
year: 2014
DOI: https://doi.org/10.1007/978-3-662-44199-2
ISBN: 3-662-44198-5 (paperback), 3-662-44199-3 (e-book) OR 3662441985 (paperback), 3662441993 (ebook)
LCCN: QA76.9.M35
bibdate: Sat Sep 23 09:59:48 2023
bibtimestamp: 2023.09.23 09:59:48 ???
acknowledgement: ack-nhfb
raweditor: Hoon Hong and Chee Yap
booktitle:
Mathematical Software --- ICMS 2014: 4th International Conference, Seoul, South Korea, August 5--9, 2014, Proceedings

title:
Mathematical Software --- ICMS 2014: 4th International Conference, Seoul, South Korea, August 5--9, 2014, Proceedings

ISBN13:
978-3-662-44198-5 (paperback), 978-3-662-44199-2 (e-book) OR 9783662441985 (paperback), 9783662441992 (ebook)

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/gnu.bib; https://www.math.utah.edu/pub/tex/bib/magma.bib; https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/texbook3.bib

TOC:
Front Matter Invited Talks Experimental Computation and Visual Theorems / Jonathan M. Borwein / 1--8 Soft Math Math Soft / Bruno Buchberger / 9--15 Mathematical Theory Exploration Flyspecking Flyspeck / Mark Adams / 16--20 Symbolic Computing Package for Mathematica for Versatile Manipulation of Mathematical Expressions / Youngjoo Chung / 21--25 Representing, Archiving, and Searching the Space of Mathematical Knowledge / Mihnea Iancu, Michael Kohlhase, Corneliu Prodescu / 26--30 Early Examples of Software in Mathematical Knowledge Management / Patrick Ion / 31--35 Discourse-Level Parallel Markup and Meaning Adoption in Flexiformal Theory Graphs / Michael Kohlhase, Mihnea Iancu / 36--40 Complexity Analysis of the Bivariate Buchberger Algorithm in Theorema / Alexander Maletzky, Bruno Buchberger / 41--48 Theorema 2.0: A System for Mathematical Theory Exploration / Wolfgang Windsteiger / 49--52 Computational Group Theory New Approaches in Black Box Group Theory / Alexandre Borovik, Sukru Yalcinkaya / 53--58 A GAP Package for Computing with Real Semisimple Lie Algebras / Heiko Dietrich, Paolo Faccin, Willem A. de Graaf / 59--66 Bacterial Genomics and Computational Group Theory: The BioGAP Package for GAP / Attila Egri-Nagy, Andrew R. Francis, Volker Gebhardt / 67--74 SgpDec: Cascade (De)Compositions of Finite Transformation Semigroups and Permutation Groups / Attila Egri-Nagy, James D. Mitchell, Chrystopher L. Nehaniv / 75--82 Approximating Generators for Integral Arithmetic Groups / Bettina Eick / 83--86 Software for Groups: Theory and Practice / Alexander Hulpke / 87--91 Computation of Genus 0 Belyi Functions / Mark van Hoeij, Raimundas Vidunas / 92--98 On Computation of the First Baues--Wirsching Cohomology of a Freely-Generated Small Category / Yasuhiro Momose, Yasuhide Numata / 99--105 Coding Theory Codes over a Non Chain Ring with Some Applications / Aysegul Bayram, Elif Segah Oztas, Irfan Siap / 106--110 On the Weight Enumerators of the Projections of the 2-adic Golay Code of Length 24 to $mathbb Z_2^e$ / Sunghyu Han / 111--114 Coding Theory Computer Based Reconstruction of Binary Extremal Self-dual Codes of Length 32 / Jon-Lark Kim / 115--118 Magma Implementation of Decoding Algorithms for General Algebraic Geometry Codes / Kwankyu Lee / 119--123 Reversible Codes and Applications to DNA / Elif Segah Oztas, Irfan Siap, Bahattin Yildiz / 124--128 Computational Topology javaPlex: A Research Software Package for Persistent (Co)Homology / Henry Adams, Andrew Tausz, Mikael Vejdemo-Johansson / 129--136 PHAT --- Persistent Homology Algorithms Toolbox / Ulrich Bauer, Michael Kerber, Jan Reininghaus, Hubert Wagner / 137--143 Computing Persistence Modules on Commutative Ladders of Finite Type / Emerson G. Escolar, Yasuaki Hiraoka / 144--151 Heuristics for Sphere Recognition / Michael Joswig, Frank H. Lutz, Mimi Tsuruga / 152--159 CAPD::RedHom v2 --- Homology Software Based on Reduction Algorithms / Mateusz Juda, Marian Mrozek / 160--166 The Gudhi Library: Simplicial Complexes and Persistent Homology / Clement Maria, Jean-Daniel Boissonnat, Marc Glisse, Mariette Yvinec / 167--174 Numerical Algebraic Geometry Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets / Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, CharlesW. Wampler / 175--182 Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods / Tianran Chen, Tsung-Lin Lee, Tien-Yien Li / 183--190 Geometry CGAL --- Reliable Geometric Computing for Academia and Industry / Eric Berberich / 191--197 Implementing the $L_infty $ Segment Voronoi Diagram in CGAL and Applying in VLSI Pattern Analysis / Panagiotis Cheilaris, Sandeep Kumar Dey, Maria Gabrani, Evanthia Papadopoulou / 198--205 BULL! --- The Molecular Geometry Engine Based on Voronoi Diagram, Quasi-Triangulation, and Beta-Complex / Deok-Soo Kim, Youngsong Cho, Jae-Kwan Kim, Joonghyun Ryu, Mokwon Lee, Jehyun Cha et al. / 206--213 Integrating Circumradius and Area Formulae for Cyclic Pentagons / Shuichi Moritsugu / 214--221 Computer Aided Geometry / Douglas Navarro Guevara, Adrian Navarro Alvarez / 222--229 The Sustainability of Digital Educational Resources / Yongsheng Rao, Ying Wang, Yu Zou, Jingzhong Zhang / 230--234 A Touch-Operation-Based Dynamic Geometry System: Design and Implementation / Wei Su, Paul S. Wang, Chuan Cai, Lian Li / 235--239 OpenGeo: An Open Geometric Knowledge Base / Dongming Wang, Xiaoyu Chen, Wenya An, Lei Jiang, Dan Song / 240--245 Curves and Surfaces On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities / Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler / 246--252 Robustly and Efficiently Computing Algebraic Curves and Surfaces / Eric Berberich / 253--260 Computing the Orthogonal Projection of Rational Curves onto Rational Parameterized Surface by Symbolic Methods / Zhiwang Gan, Meng Zhou / 261--268 Isotopic $epsilon $-Approximation of Algebraic Curves / Kai Jin / 269--276 Isotopic Arrangement of Simple Curves: An Exact Numerical Approach Based on Subdivision / Jyh-Ming Lien, Vikram Sharma, Gert Vegter, Chee Yap / 277--282 Quantified Reasoning Real Quantifier Elimination in the RegularChains Library / Changbo Chen, Marc Moreno Maza / 283--290 Software for Quantifier Elimination in Propositional Logic / Eugene Goldberg, Panagiotis Manolios / 291--294 Quantifier Elimination for Linear Modular Constraints / Ajith K. John, Supratik Chakraborty / 295--302 Skolemization Modulo Theories / Konstantin Korovin, Margus Veanes / 303--306 Incremental QBF Solving by DepQBF / Florian Lonsing, Uwe Egly / 307--314 NLCertify: A Tool for Formal Nonlinear Optimization / Victor Magron / 315--320 Special Functions and Concrete Mathematics Developing Linear Algebra Packages on Risa/Asir for Eigenproblems / Katsuyoshi Ohara, Shinichi Tajima, Akira Terui / 321--324 Mathematical Software for Modified Bessel Functions / Juri Rappoport / 325--332 BetaSCP2: A Program for the Optimal Prediction of Side-Chains in Proteins / Joonghyun Ryu, Mokwon Lee, Jehyun Cha, Chanyoung Song, Deok-Soo Kim / 333--340 Computation of an Improved Lower Bound to Giuga's Primality Conjecture / Matthew Skerritt / 341--345 An Extension and Efficient Calculation of the Horner's Rule for Matrices / Shinichi Tajima, Katsuyoshi Ohara, Akira Terui / 346--351 Groebner Bases What Is New in CoCoA? / John Abbott, Anna Maria Bigatti / 352--358 Maximizing Likelihood Function for Parameter Estimation in Point Clouds via Groebner Basis / Joseph Awange, Bela Palancz, Robert Lewis / 359--366 Groebner Basis in Geodesy and Geoinformatics / Joseph Awange, Bela Palancz, Robert Lewis / 367--373 Groebner Bases in Theorema / Bruno Buchberger, Alexander Maletzky / 374--381 Effective Computation of Radical of Ideals and Its Application to Invariant Theory / Amir Hashemi / 382--389 Generic and Parallel Groebner Bases in JAS / Heinz Kredel / 390--397 Application of Groebner Basis Methodology to Nonlinear Mechanics Problems / Y. Jane Liu, John Peddieson / 398--405 Software for Discussing Parametric Polynomial Systems: The Grobner Cover / Antonio Montes, Michael Wibmer / 406--413 An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology / Katsusuke Nabeshima, Shinichi Tajima / 414--418 Verification of Grobner Basis Candidates / Masayuki Noro, Kazuhiro Yokoyama / 419--424 Triangular Decompositions of Polynomial Systems Cylindrical Algebraic Decomposition in the RegularChains Library / Changbo Chen, Marc Moreno Maza / 425--433 Hierarchical Comprehensive Triangular Decomposition / Zhenghong Chen, Xiaoxian Tang, Bican Xia / 434--441 A Package for Parametric Matrix Computations / Robert M. Corless, Steven E. Thornton / 442--449 Choosing a Variable Ordering for Truth-Table Invariant Cylindrical Algebraic Decomposition by Incremental Triangular Decomposition / Matthew England, Russell Bradford, James H. Davenport, David Wilson / 450--457 Using the Regular Chains Library to Build Cylindrical Algebraic Decompositions by Projecting and Lifting / Matthew England, David Wilson, Russell Bradford, James H. Davenport / 458--465 An Improvement of Rosenfeld--Grobner Algorithm / Amir Hashemi, Zahra Touraji / 466--471 Doing Algebraic Geometry with the RegularChains Library / Parisa Alvandi, Changbo Chen, Steffen Marcus, Marc Moreno Maza, Eric Schost, Paul Vrbik / 472--479 On Multivariate Birkhoff Rational Interpolation / Peng Xia, Bao-Xin Shang, Na Lei / 480--483 Computing Moore--Penrose Inverses of Ore Polynomial Matrices / Yang Zhang / 484--491 Parametric Polynomial Systems Software Using the Grobner Cover for Geometrical Loci Computation and Classification / Miguel A. Abanades, Francisco Botana, Antonio Montes, Tomas Recio / 492--499 Using Maple's RegularChains Library to Automatically Classify Plane Geometric Loci / Francisco Botana, Tomas Recio / 500--503 Solving Parametric Polynomial Systems by RealComprehensiveTriangularize / Changbo Chen, Marc Moreno Maza / 504--511 QE Software Based on Comprehensive Grobner Systems / Ryoya Fukasaku / 512--517 SyNRAC: A Toolbox for Solving Real Algebraic Constraints / Hidenao Iwane, Hitoshi Yanami, Hirokazu Anai / 518--522 An Algorithm for Computing Tjurina Stratifications of $mu $-Constant Deformations by Using Local Cohomology Classes with Parameters / Katsusuke Nabeshima, Shinichi Tajima / 523--530 An Implementation Method of Boolean Grobner Bases and Comprehensive Boolean Grobner Bases on General Computer Algebra Systems / Akira Nagai, Shutaro Inoue / 531--536 A Method to Determine if Two Parametric Polynomial Systems Are Equal / Jie Zhou, Dingkang Wang / 537--544 Mathematical Web/Mobile Interfaces and Visualization An Implementation Method of a CAS with a Handwriting Interface on Tablet Devices / Mitsushi Fujimoto / 545--548 New Way of Explanation of the Stochastic Interpretation of Wave Functions and Its Teaching Materials Using KETpic / Kenji Fukazawa / 549--553 IFSGen4LaTeX : Interactive Graphical User Interface for Generation and Visualization of Iterated Function Systems in LaTeX / Akemi Galvez, Kiyoshi Kitahara, Masataka Kaneko / 554--561 GNU TeX MACS: towards a Scientific Office Suite / Massimiliano Gubinelli, Joris van der Hoeven, Francois Poulain, Denis Raux / 562--569 Computer Software Program for Representation and Visualization of Free-Form Curves through Bio-inspired Optimization Techniques / Andres Iglesias, Akemi Galvez / 570--577 On Some Attempts to Verify the Effect of Using High-Quality Graphics in Mathematics Education / Kiyoshi Kitahara, Tadashi Takahashi, Masataka Kaneko / 578--585 Math Web Search Interfaces and the Generation Gap of Mathematicians / Andrea Kohlhase / 586--593 Practice with Computer Algebra Systems in Mathematics Education and Teacher Training Courses / Hideyo Makishita / 594--600 Development of Visual Aid Materials in Teaching the Bivariate Normal Distributions / Toshifumi Nomachi, Toshihiko Koshiba, Shunji Ouchi / 601--606 Creating Interactive Graphics for Mathematics Education Utilizing KETpic / Shunji Ouchi, Yoshifumi Maeda, Kiyoshi Kitahara, Naoki Hamaguchi / 607--613 A Tablet-Compatible Web-Interface for Mathematical Collaboration / Marco Pollanen, Jeff Hooper, Bruce Cater, Sohee Kang / 614--620 Development and Evaluation of a Web-Based Drill System to Master Basic Math Formulae Using a New Interactive Math Input Method / Shizuka Shirai, Tetsuo Fukui / 621--628 Generating Data of Mathematical Figures for 3D Printers with KETpic and Educational Impact of the Printed Models / Setsuo Takato, Naoki Hamaguchi, Haiduke Sarafian / 629--634 A Touch-Based Mathematical Expression Editor / Wei Su, Paul S. Wang, Lian Li / 635--640 Establishment of KETpic Programming Styles for Drawing / Satoshi Yamashita, Yoshifumi Maeda, Hisashi Usui, Kiyoshi Kitahara, Hideyo Makishita, Kazushi Ahara / 641--646 General Session Integration of Libnormaliz in CoCoALib and CoCoA 5 / John Abbott, Anna Maria Bigatti, Christof Soger / 647--653 Elements of Design for Containers and Solutions in the LinBox Library / Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi, Clement Pernet, B. David Saunders / 654--662 Recent Developments in Normaliz / Winfried Bruns, Christof Soger / 663--668 The Basic Polynomial Algebra Subprograms / Changbo Chen, Svyatoslav Covanov, Farnam Mansouri, Marc Moreno Maza, Ning Xie, Yuzhen Xie / 669--676 Function Interval Arithmetic / Jan Duracz, Amin Farjudian, Michal Konecny, Walid Taha / 677--684 Generating Optimized Sparse Matrix Vector Product over Finite Fields / Pascal Giorgi, Bastien Vialla / 685--690 swMATH --- An Information Service for Mathematical Software / Gert-Martin Greuel, Wolfram Sperber / 691--701 MathLibre: Modifiable Desktop Environment for Mathematics / Tatsuyoshi Hamada / 702--705 Software Packages for Holonomic Gradient Method / Tamio Koyama, Hiromasa Nakayama, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama / 706--712 Metalibm: A Mathematical Functions Code Generator / Olga Kupriianova, Christoph Lauter / 713--717 From Calculus to Algorithms without Errors / Norbert Muller, Martin Ziegler / 718--724 Dense Arithmetic over Finite Fields with the CUMODP Library / Sardar Anisul Haque, Xin Li, Farnam Mansouri, Marc Moreno Maza, Wei Pan, Ning Xie / 725--732 Back Matter / / 733--735

rawbooktitle:
Mathematical Software --- {ICMS 2014: 4th International Conference, Seoul, South Korea, August 5--9, 2014, Proceedings}

rawtitle:
Mathematical Software --- {ICMS 2014: 4th International Conference, Seoul, South Korea, August 5--9, 2014, Proceedings}

rawTOC:
Front Matter \\ Invited Talks \\ Experimental Computation and Visual Theorems / Jonathan M. Borwein / 1--8 \\ Soft Math Math Soft / Bruno Buchberger / 9--15 \\ Mathematical Theory Exploration \\ Flyspecking Flyspeck / Mark Adams / 16--20 \\ Symbolic Computing Package for Mathematica for Versatile Manipulation of Mathematical Expressions / Youngjoo Chung / 21--25 \\ Representing, Archiving, and Searching the Space of Mathematical Knowledge / Mihnea Iancu, Michael Kohlhase, Corneliu Prodescu / 26--30 \\ Early Examples of Software in Mathematical Knowledge Management / Patrick Ion / 31--35 \\ Discourse-Level Parallel Markup and Meaning Adoption in Flexiformal Theory Graphs / Michael Kohlhase, Mihnea Iancu / 36--40 \\ Complexity Analysis of the Bivariate Buchberger Algorithm in Theorema / Alexander Maletzky, Bruno Buchberger / 41--48 \\ Theorema 2.0: A System for Mathematical Theory Exploration / Wolfgang Windsteiger / 49--52 \\ Computational Group Theory \\ New Approaches in Black Box Group Theory / Alexandre Borovik, {\c{S}}{\"u}kr{\"u} Yal{\c{c}}{\i}nkaya / 53--58 \\ A GAP Package for Computing with Real Semisimple Lie Algebras / Heiko Dietrich, Paolo Faccin, Willem A. de Graaf / 59--66 \\ Bacterial Genomics and Computational Group Theory: The BioGAP Package for GAP / Attila Egri-Nagy, Andrew R. Francis, Volker Gebhardt / 67--74 \\ SgpDec: Cascade (De)Compositions of Finite Transformation Semigroups and Permutation Groups / Attila Egri-Nagy, James D. Mitchell, Chrystopher L. Nehaniv / 75--82 \\ Approximating Generators for Integral Arithmetic Groups / Bettina Eick / 83--86 \\ Software for Groups: Theory and Practice / Alexander Hulpke / 87--91 \\ Computation of Genus 0 Belyi Functions / Mark van Hoeij, Raimundas Vidunas / 92--98 \\ On Computation of the First Baues--Wirsching Cohomology of a Freely-Generated Small Category / Yasuhiro Momose, Yasuhide Numata / 99--105 \\ Coding Theory \\ Codes over a Non Chain Ring with Some Applications / Aysegul Bayram, Elif Segah Oztas, Irfan Siap / 106--110 \\ On the Weight Enumerators of the Projections of the 2-adic Golay Code of Length 24 to $\mathbb{Z}_{2^e}$ / Sunghyu Han / 111--114 \\ Coding Theory \\ Computer Based Reconstruction of Binary Extremal Self-dual Codes of Length 32 / Jon-Lark Kim / 115--118 \\ Magma Implementation of Decoding Algorithms for General Algebraic Geometry Codes / Kwankyu Lee / 119--123 \\ Reversible Codes and Applications to DNA / Elif Segah Oztas, Irfan Siap, Bahattin Yildiz / 124--128 \\ Computational Topology \\ javaPlex: A Research Software Package for Persistent (Co)Homology / Henry Adams, Andrew Tausz, Mikael Vejdemo-Johansson / 129--136 \\ PHAT --- Persistent Homology Algorithms Toolbox / Ulrich Bauer, Michael Kerber, Jan Reininghaus, Hubert Wagner / 137--143 \\ Computing Persistence Modules on Commutative Ladders of Finite Type / Emerson G. Escolar, Yasuaki Hiraoka / 144--151 \\ Heuristics for Sphere Recognition / Michael Joswig, Frank H. Lutz, Mimi Tsuruga / 152--159 \\ CAPD::RedHom v2 --- Homology Software Based on Reduction Algorithms / Mateusz Juda, Marian Mrozek / 160--166 \\ The Gudhi Library: Simplicial Complexes and Persistent Homology / Cl{\'e}ment Maria, Jean-Daniel Boissonnat, Marc Glisse, Mariette Yvinec / 167--174 \\ Numerical Algebraic Geometry \\ Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets / Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, CharlesW. Wampler / 175--182 \\ Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods / Tianran Chen, Tsung-Lin Lee, Tien-Yien Li / 183--190 \\ Geometry \\ CGAL --- Reliable Geometric Computing for Academia and Industry / Eric Berberich / 191--197 \\ Implementing the $L_\infty$ Segment Voronoi Diagram in CGAL and Applying in VLSI Pattern Analysis / Panagiotis Cheilaris, Sandeep Kumar Dey, Maria Gabrani, Evanthia Papadopoulou / 198--205 \\ BULL! --- The Molecular Geometry Engine Based on Voronoi Diagram, Quasi-Triangulation, and Beta-Complex / Deok-Soo Kim, Youngsong Cho, Jae-Kwan Kim, Joonghyun Ryu, Mokwon Lee, Jehyun Cha et al. / 206--213 \\ Integrating Circumradius and Area Formulae for Cyclic Pentagons / Shuichi Moritsugu / 214--221 \\ Computer Aided Geometry / Douglas Navarro Guevara, Adrian Navarro Alvarez / 222--229 \\ The Sustainability of Digital Educational Resources / Yongsheng Rao, Ying Wang, Yu Zou, Jingzhong Zhang / 230--234 \\ A Touch-Operation-Based Dynamic Geometry System: Design and Implementation / Wei Su, Paul S. Wang, Chuan Cai, Lian Li / 235--239 \\ OpenGeo: An Open Geometric Knowledge Base / Dongming Wang, Xiaoyu Chen, Wenya An, Lei Jiang, Dan Song / 240--245 \\ Curves and Surfaces \\ On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities / Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler / 246--252 \\ Robustly and Efficiently Computing Algebraic Curves and Surfaces / Eric Berberich / 253--260 \\ Computing the Orthogonal Projection of Rational Curves onto Rational Parameterized Surface by Symbolic Methods / Zhiwang Gan, Meng Zhou / 261--268 \\ Isotopic $\epsilon$-Approximation of Algebraic Curves / Kai Jin / 269--276 \\ Isotopic Arrangement of Simple Curves: An Exact Numerical Approach Based on Subdivision / Jyh-Ming Lien, Vikram Sharma, Gert Vegter, Chee Yap / 277--282 \\ Quantified Reasoning \\ Real Quantifier Elimination in the RegularChains Library / Changbo Chen, Marc Moreno Maza / 283--290 \\ Software for Quantifier Elimination in Propositional Logic / Eugene Goldberg, Panagiotis Manolios / 291--294 \\ Quantifier Elimination for Linear Modular Constraints / Ajith K. John, Supratik Chakraborty / 295--302 \\ Skolemization Modulo Theories / Konstantin Korovin, Margus Veanes / 303--306 \\ Incremental QBF Solving by DepQBF / Florian Lonsing, Uwe Egly / 307--314 \\ NLCertify: A Tool for Formal Nonlinear Optimization / Victor Magron / 315--320 \\ Special Functions and Concrete Mathematics \\ Developing Linear Algebra Packages on Risa/Asir for Eigenproblems / Katsuyoshi Ohara, Shinichi Tajima, Akira Terui / 321--324 \\ Mathematical Software for Modified Bessel Functions / Juri Rappoport / 325--332 \\ BetaSCP2: A Program for the Optimal Prediction of Side-Chains in Proteins / Joonghyun Ryu, Mokwon Lee, Jehyun Cha, Chanyoung Song, Deok-Soo Kim / 333--340 \\ Computation of an Improved Lower Bound to Giuga's Primality Conjecture / Matthew Skerritt / 341--345 \\ An Extension and Efficient Calculation of the Horner's Rule for Matrices / Shinichi Tajima, Katsuyoshi Ohara, Akira Terui / 346--351 \\ Groebner Bases \\ What Is New in CoCoA? / John Abbott, Anna Maria Bigatti / 352--358 \\ Maximizing Likelihood Function for Parameter Estimation in Point Clouds via Groebner Basis / Joseph Awange, B{\'e}la Pal{\'a}ncz, Robert Lewis / 359--366 \\ Groebner Basis in Geodesy and Geoinformatics / Joseph Awange, B{\'e}la Pal{\'a}ncz, Robert Lewis / 367--373 \\ Groebner Bases in Theorema / Bruno Buchberger, Alexander Maletzky / 374--381 \\ Effective Computation of Radical of Ideals and Its Application to Invariant Theory / Amir Hashemi / 382--389 \\ Generic and Parallel Groebner Bases in JAS / Heinz Kredel / 390--397 \\ Application of Groebner Basis Methodology to Nonlinear Mechanics Problems / Y. Jane Liu, John Peddieson / 398--405 \\ Software for Discussing Parametric Polynomial Systems: The Gr{\"o}bner Cover / Antonio Montes, Michael Wibmer / 406--413 \\ An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology / Katsusuke Nabeshima, Shinichi Tajima / 414--418 \\ Verification of Gr{\"o}bner Basis Candidates / Masayuki Noro, Kazuhiro Yokoyama / 419--424 \\ Triangular Decompositions of Polynomial Systems \\ Cylindrical Algebraic Decomposition in the RegularChains Library / Changbo Chen, Marc Moreno Maza / 425--433 \\ Hierarchical Comprehensive Triangular Decomposition / Zhenghong Chen, Xiaoxian Tang, Bican Xia / 434--441 \\ A Package for Parametric Matrix Computations / Robert M. Corless, Steven E. Thornton / 442--449 \\ Choosing a Variable Ordering for Truth-Table Invariant Cylindrical Algebraic Decomposition by Incremental Triangular Decomposition / Matthew England, Russell Bradford, James H. Davenport, David Wilson / 450--457 \\ Using the Regular Chains Library to Build Cylindrical Algebraic Decompositions by Projecting and Lifting / Matthew England, David Wilson, Russell Bradford, James H. Davenport / 458--465 \\ An Improvement of Rosenfeld--Gr{\"o}bner Algorithm / Amir Hashemi, Zahra Touraji / 466--471 \\ Doing Algebraic Geometry with the RegularChains Library / Parisa Alvandi, Changbo Chen, Steffen Marcus, Marc Moreno Maza, {\'E}ric Schost, Paul Vrbik / 472--479 \\ On Multivariate Birkhoff Rational Interpolation / Peng Xia, Bao-Xin Shang, Na Lei / 480--483 \\ Computing Moore--Penrose Inverses of Ore Polynomial Matrices / Yang Zhang / 484--491 \\ Parametric Polynomial Systems \\ Software Using the Gr{\"o}bner Cover for Geometrical Loci Computation and Classification / Miguel A. Ab{\'a}nades, Francisco Botana, Antonio Montes, Tom{\'a}s Recio / 492--499 \\ Using Maple's RegularChains Library to Automatically Classify Plane Geometric Loci / Francisco Botana, Tom{\'a}s Recio / 500--503 \\ Solving Parametric Polynomial Systems by RealComprehensiveTriangularize / Changbo Chen, Marc Moreno Maza / 504--511 \\ QE Software Based on Comprehensive Gr{\"o}bner Systems / Ryoya Fukasaku / 512--517 \\ SyNRAC: A Toolbox for Solving Real Algebraic Constraints / Hidenao Iwane, Hitoshi Yanami, Hirokazu Anai / 518--522 \\ An Algorithm for Computing Tjurina Stratifications of $\mu$-Constant Deformations by Using Local Cohomology Classes with Parameters / Katsusuke Nabeshima, Shinichi Tajima / 523--530 \\ An Implementation Method of Boolean Gr{\"o}bner Bases and Comprehensive Boolean Gr{\"o}bner Bases on General Computer Algebra Systems / Akira Nagai, Shutaro Inoue / 531--536 \\ A Method to Determine if Two Parametric Polynomial Systems Are Equal / Jie Zhou, Dingkang Wang / 537--544 \\ Mathematical Web/Mobile Interfaces and Visualization \\ An Implementation Method of a CAS with a Handwriting Interface on Tablet Devices / Mitsushi Fujimoto / 545--548 \\ New Way of Explanation of the Stochastic Interpretation of Wave Functions and Its Teaching Materials Using KETpic / Kenji Fukazawa / 549--553 \\ {IFSGen4\LaTeX}: Interactive Graphical User Interface for Generation and Visualization of Iterated Function Systems in {\LaTeX} / Akemi G{\'a}lvez, Kiyoshi Kitahara, Masataka Kaneko / 554--561 \\ GNU {\TeX}MACS: towards a Scientific Office Suite / Massimiliano Gubinelli, Joris van der Hoeven, Fran{\c{c}}ois Poulain, Denis Raux / 562--569 \\ Computer Software Program for Representation and Visualization of Free-Form Curves through Bio-inspired Optimization Techniques / Andr{\'e}s Iglesias, Akemi G{\'a}lvez / 570--577 \\ On Some Attempts to Verify the Effect of Using High-Quality Graphics in Mathematics Education / Kiyoshi Kitahara, Tadashi Takahashi, Masataka Kaneko / 578--585 \\ Math Web Search Interfaces and the Generation Gap of Mathematicians / Andrea Kohlhase / 586--593 \\ Practice with Computer Algebra Systems in Mathematics Education and Teacher Training Courses / Hideyo Makishita / 594--600 \\ Development of Visual Aid Materials in Teaching the Bivariate Normal Distributions / Toshifumi Nomachi, Toshihiko Koshiba, Shunji Ouchi / 601--606 \\ Creating Interactive Graphics for Mathematics Education Utilizing KETpic / Shunji Ouchi, Yoshifumi Maeda, Kiyoshi Kitahara, Naoki Hamaguchi / 607--613 \\ A Tablet-Compatible Web-Interface for Mathematical Collaboration / Marco Pollanen, Jeff Hooper, Bruce Cater, Sohee Kang / 614--620 \\ Development and Evaluation of a Web-Based Drill System to Master Basic Math Formulae Using a New Interactive Math Input Method / Shizuka Shirai, Tetsuo Fukui / 621--628 \\ Generating Data of Mathematical Figures for 3D Printers with KETpic and Educational Impact of the Printed Models / Setsuo Takato, Naoki Hamaguchi, Haiduke Sarafian / 629--634 \\ A Touch-Based Mathematical Expression Editor / Wei Su, Paul S. Wang, Lian Li / 635--640 \\ Establishment of KETpic Programming Styles for Drawing / Satoshi Yamashita, Yoshifumi Maeda, Hisashi Usui, Kiyoshi Kitahara, Hideyo Makishita, Kazushi Ahara / 641--646 \\ General Session \\ Integration of Libnormaliz in CoCoALib and CoCoA 5 / John Abbott, Anna Maria Bigatti, Christof S{\"o}ger / 647--653 \\ Elements of Design for Containers and Solutions in the LinBox Library / Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi, Cl{\'e}ment Pernet, B. David Saunders / 654--662 \\ Recent Developments in Normaliz / Winfried Bruns, Christof S{\"o}ger / 663--668 \\ The Basic Polynomial Algebra Subprograms / Changbo Chen, Svyatoslav Covanov, Farnam Mansouri, Marc Moreno Maza, Ning Xie, Yuzhen Xie / 669--676 \\ Function Interval Arithmetic / Jan Duracz, Amin Farjudian, Michal Kone{\v{c}}n{\'y}, Walid Taha / 677--684 \\ Generating Optimized Sparse Matrix Vector Product over Finite Fields / Pascal Giorgi, Bastien Vialla / 685--690 \\ swMATH --- An Information Service for Mathematical Software / Gert-Martin Greuel, Wolfram Sperber / 691--701 \\ MathLibre: Modifiable Desktop Environment for Mathematics / Tatsuyoshi Hamada / 702--705 \\ Software Packages for Holonomic Gradient Method / Tamio Koyama, Hiromasa Nakayama, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama / 706--712 \\ Metalibm: A Mathematical Functions Code Generator / Olga Kupriianova, Christoph Lauter / 713--717 \\ From Calculus to Algorithms without Errors / Norbert M{\"u}ller, Martin Ziegler / 718--724 \\ Dense Arithmetic over Finite Fields with the CUMODP Library / Sardar Anisul Haque, Xin Li, Farnam Mansouri, Marc Moreno Maza, Wei Pan, Ning Xie / 725--732 \\ Back Matter / / 733--735

entry:
@Proceedings{Hong:2014:MSI,
  editor =       "Hoon Hong and Chee Yap",
  booktitle =    "Mathematical Software --- {ICMS 2014: 4th
                 International Conference, Seoul, South Korea, August
                 5--9, 2014, Proceedings}",
  title =        "Mathematical Software --- {ICMS 2014: 4th
                 International Conference, Seoul, South Korea, August
                 5--9, 2014, Proceedings}",
  volume =       "8592",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xxxii + 735",
  year =         "2014",
  DOI =          "https://doi.org/10.1007/978-3-662-44199-2",
  ISBN =         "3-662-44198-5 (paperback), 3-662-44199-3 (e-book)",
  ISBN-13 =      "978-3-662-44198-5 (paperback), 978-3-662-44199-2
                 (e-book)",
  LCCN =         "QA76.9.M35",
  bibdate =      "Sat Sep 23 09:59:48 2023",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/gnu.bib;
                 https://www.math.utah.edu/pub/tex/bib/magma.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
                 https://www.math.utah.edu/pub/tex/bib/texbook3.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "Front Matter \\
                 Invited Talks \\
                 Experimental Computation and Visual Theorems / Jonathan
                 M. Borwein / 1--8 \\
                 Soft Math Math Soft / Bruno Buchberger / 9--15 \\
                 Mathematical Theory Exploration \\
                 Flyspecking Flyspeck / Mark Adams / 16--20 \\
                 Symbolic Computing Package for Mathematica for
                 Versatile Manipulation of Mathematical Expressions /
                 Youngjoo Chung / 21--25 \\
                 Representing, Archiving, and Searching the Space of
                 Mathematical Knowledge / Mihnea Iancu, Michael
                 Kohlhase, Corneliu Prodescu / 26--30 \\
                 Early Examples of Software in Mathematical Knowledge
                 Management / Patrick Ion / 31--35 \\
                 Discourse-Level Parallel Markup and Meaning Adoption in
                 Flexiformal Theory Graphs / Michael Kohlhase, Mihnea
                 Iancu / 36--40 \\
                 Complexity Analysis of the Bivariate Buchberger
                 Algorithm in Theorema / Alexander Maletzky, Bruno
                 Buchberger / 41--48 \\
                 Theorema 2.0: A System for Mathematical Theory
                 Exploration / Wolfgang Windsteiger / 49--52 \\
                 Computational Group Theory \\
                 New Approaches in Black Box Group Theory / Alexandre
                 Borovik, {\c{S}}{\"u}kr{\"u} Yal{\c{c}}{\i}nkaya /
                 53--58 \\
                 A GAP Package for Computing with Real Semisimple Lie
                 Algebras / Heiko Dietrich, Paolo Faccin, Willem A. de
                 Graaf / 59--66 \\
                 Bacterial Genomics and Computational Group Theory: The
                 BioGAP Package for GAP / Attila Egri-Nagy, Andrew R.
                 Francis, Volker Gebhardt / 67--74 \\
                 SgpDec: Cascade (De)Compositions of Finite
                 Transformation Semigroups and Permutation Groups /
                 Attila Egri-Nagy, James D. Mitchell, Chrystopher L.
                 Nehaniv / 75--82 \\
                 Approximating Generators for Integral Arithmetic Groups
                 / Bettina Eick / 83--86 \\
                 Software for Groups: Theory and Practice / Alexander
                 Hulpke / 87--91 \\
                 Computation of Genus 0 Belyi Functions / Mark van
                 Hoeij, Raimundas Vidunas / 92--98 \\
                 On Computation of the First Baues--Wirsching Cohomology
                 of a Freely-Generated Small Category / Yasuhiro Momose,
                 Yasuhide Numata / 99--105 \\
                 Coding Theory \\
                 Codes over a Non Chain Ring with Some Applications /
                 Aysegul Bayram, Elif Segah Oztas, Irfan Siap / 106--110
                 \\
                 On the Weight Enumerators of the Projections of the
                 2-adic Golay Code of Length 24 to $\mathbb{Z}_{2^e}$ /
                 Sunghyu Han / 111--114 \\
                 Coding Theory \\
                 Computer Based Reconstruction of Binary Extremal
                 Self-dual Codes of Length 32 / Jon-Lark Kim / 115--118
                 \\
                 Magma Implementation of Decoding Algorithms for General
                 Algebraic Geometry Codes / Kwankyu Lee / 119--123 \\
                 Reversible Codes and Applications to DNA / Elif Segah
                 Oztas, Irfan Siap, Bahattin Yildiz / 124--128 \\
                 Computational Topology \\
                 javaPlex: A Research Software Package for Persistent
                 (Co)Homology / Henry Adams, Andrew Tausz, Mikael
                 Vejdemo-Johansson / 129--136 \\
                 PHAT --- Persistent Homology Algorithms Toolbox /
                 Ulrich Bauer, Michael Kerber, Jan Reininghaus, Hubert
                 Wagner / 137--143 \\
                 Computing Persistence Modules on Commutative Ladders of
                 Finite Type / Emerson G. Escolar, Yasuaki Hiraoka /
                 144--151 \\
                 Heuristics for Sphere Recognition / Michael Joswig,
                 Frank H. Lutz, Mimi Tsuruga / 152--159 \\
                 CAPD::RedHom v2 --- Homology Software Based on
                 Reduction Algorithms / Mateusz Juda, Marian Mrozek /
                 160--166 \\
                 The Gudhi Library: Simplicial Complexes and Persistent
                 Homology / Cl{\'e}ment Maria, Jean-Daniel Boissonnat,
                 Marc Glisse, Mariette Yvinec / 167--174 \\
                 Numerical Algebraic Geometry \\
                 Bertini_real: Software for One- and Two-Dimensional
                 Real Algebraic Sets / Daniel A. Brake, Daniel J. Bates,
                 Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese,
                 CharlesW. Wampler / 175--182 \\
                 Hom4PS-3: A Parallel Numerical Solver for Systems of
                 Polynomial Equations Based on Polyhedral Homotopy
                 Continuation Methods / Tianran Chen, Tsung-Lin Lee,
                 Tien-Yien Li / 183--190 \\
                 Geometry \\
                 CGAL --- Reliable Geometric Computing for Academia and
                 Industry / Eric Berberich / 191--197 \\
                 Implementing the $L_\infty$ Segment Voronoi Diagram in
                 CGAL and Applying in VLSI Pattern Analysis / Panagiotis
                 Cheilaris, Sandeep Kumar Dey, Maria Gabrani, Evanthia
                 Papadopoulou / 198--205 \\
                 BULL! --- The Molecular Geometry Engine Based on
                 Voronoi Diagram, Quasi-Triangulation, and Beta-Complex
                 / Deok-Soo Kim, Youngsong Cho, Jae-Kwan Kim, Joonghyun
                 Ryu, Mokwon Lee, Jehyun Cha et al. / 206--213 \\
                 Integrating Circumradius and Area Formulae for Cyclic
                 Pentagons / Shuichi Moritsugu / 214--221 \\
                 Computer Aided Geometry / Douglas Navarro Guevara,
                 Adrian Navarro Alvarez / 222--229 \\
                 The Sustainability of Digital Educational Resources /
                 Yongsheng Rao, Ying Wang, Yu Zou, Jingzhong Zhang /
                 230--234 \\
                 A Touch-Operation-Based Dynamic Geometry System: Design
                 and Implementation / Wei Su, Paul S. Wang, Chuan Cai,
                 Lian Li / 235--239 \\
                 OpenGeo: An Open Geometric Knowledge Base / Dongming
                 Wang, Xiaoyu Chen, Wenya An, Lei Jiang, Dan Song /
                 240--245 \\
                 Curves and Surfaces \\
                 On Computing a Cell Decomposition of a Real Surface
                 Containing Infinitely Many Singularities / Daniel J.
                 Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew
                 J. Sommese, Charles W. Wampler / 246--252 \\
                 Robustly and Efficiently Computing Algebraic Curves and
                 Surfaces / Eric Berberich / 253--260 \\
                 Computing the Orthogonal Projection of Rational Curves
                 onto Rational Parameterized Surface by Symbolic Methods
                 / Zhiwang Gan, Meng Zhou / 261--268 \\
                 Isotopic $\epsilon$-Approximation of Algebraic Curves /
                 Kai Jin / 269--276 \\
                 Isotopic Arrangement of Simple Curves: An Exact
                 Numerical Approach Based on Subdivision / Jyh-Ming
                 Lien, Vikram Sharma, Gert Vegter, Chee Yap / 277--282
                 \\
                 Quantified Reasoning \\
                 Real Quantifier Elimination in the RegularChains
                 Library / Changbo Chen, Marc Moreno Maza / 283--290 \\
                 Software for Quantifier Elimination in Propositional
                 Logic / Eugene Goldberg, Panagiotis Manolios / 291--294
                 \\
                 Quantifier Elimination for Linear Modular Constraints /
                 Ajith K. John, Supratik Chakraborty / 295--302 \\
                 Skolemization Modulo Theories / Konstantin Korovin,
                 Margus Veanes / 303--306 \\
                 Incremental QBF Solving by DepQBF / Florian Lonsing,
                 Uwe Egly / 307--314 \\
                 NLCertify: A Tool for Formal Nonlinear Optimization /
                 Victor Magron / 315--320 \\
                 Special Functions and Concrete Mathematics \\
                 Developing Linear Algebra Packages on Risa/Asir for
                 Eigenproblems / Katsuyoshi Ohara, Shinichi Tajima,
                 Akira Terui / 321--324 \\
                 Mathematical Software for Modified Bessel Functions /
                 Juri Rappoport / 325--332 \\
                 BetaSCP2: A Program for the Optimal Prediction of
                 Side-Chains in Proteins / Joonghyun Ryu, Mokwon Lee,
                 Jehyun Cha, Chanyoung Song, Deok-Soo Kim / 333--340 \\
                 Computation of an Improved Lower Bound to Giuga's
                 Primality Conjecture / Matthew Skerritt / 341--345 \\
                 An Extension and Efficient Calculation of the Horner's
                 Rule for Matrices / Shinichi Tajima, Katsuyoshi Ohara,
                 Akira Terui / 346--351 \\
                 Groebner Bases \\
                 What Is New in CoCoA? / John Abbott, Anna Maria Bigatti
                 / 352--358 \\
                 Maximizing Likelihood Function for Parameter Estimation
                 in Point Clouds via Groebner Basis / Joseph Awange,
                 B{\'e}la Pal{\'a}ncz, Robert Lewis / 359--366 \\
                 Groebner Basis in Geodesy and Geoinformatics / Joseph
                 Awange, B{\'e}la Pal{\'a}ncz, Robert Lewis / 367--373
                 \\
                 Groebner Bases in Theorema / Bruno Buchberger,
                 Alexander Maletzky / 374--381 \\
                 Effective Computation of Radical of Ideals and Its
                 Application to Invariant Theory / Amir Hashemi /
                 382--389 \\
                 Generic and Parallel Groebner Bases in JAS / Heinz
                 Kredel / 390--397 \\
                 Application of Groebner Basis Methodology to Nonlinear
                 Mechanics Problems / Y. Jane Liu, John Peddieson /
                 398--405 \\
                 Software for Discussing Parametric Polynomial Systems:
                 The Gr{\"o}bner Cover / Antonio Montes, Michael Wibmer
                 / 406--413 \\
                 An Algorithm for Computing Standard Bases by Change of
                 Ordering via Algebraic Local Cohomology / Katsusuke
                 Nabeshima, Shinichi Tajima / 414--418 \\
                 Verification of Gr{\"o}bner Basis Candidates / Masayuki
                 Noro, Kazuhiro Yokoyama / 419--424 \\
                 Triangular Decompositions of Polynomial Systems \\
                 Cylindrical Algebraic Decomposition in the
                 RegularChains Library / Changbo Chen, Marc Moreno Maza
                 / 425--433 \\
                 Hierarchical Comprehensive Triangular Decomposition /
                 Zhenghong Chen, Xiaoxian Tang, Bican Xia / 434--441 \\
                 A Package for Parametric Matrix Computations / Robert
                 M. Corless, Steven E. Thornton / 442--449 \\
                 Choosing a Variable Ordering for Truth-Table Invariant
                 Cylindrical Algebraic Decomposition by Incremental
                 Triangular Decomposition / Matthew England, Russell
                 Bradford, James H. Davenport, David Wilson / 450--457
                 \\
                 Using the Regular Chains Library to Build Cylindrical
                 Algebraic Decompositions by Projecting and Lifting /
                 Matthew England, David Wilson, Russell Bradford, James
                 H. Davenport / 458--465 \\
                 An Improvement of Rosenfeld--Gr{\"o}bner Algorithm /
                 Amir Hashemi, Zahra Touraji / 466--471 \\
                 Doing Algebraic Geometry with the RegularChains Library
                 / Parisa Alvandi, Changbo Chen, Steffen Marcus, Marc
                 Moreno Maza, {\'E}ric Schost, Paul Vrbik / 472--479 \\
                 On Multivariate Birkhoff Rational Interpolation / Peng
                 Xia, Bao-Xin Shang, Na Lei / 480--483 \\
                 Computing Moore--Penrose Inverses of Ore Polynomial
                 Matrices / Yang Zhang / 484--491 \\
                 Parametric Polynomial Systems \\
                 Software Using the Gr{\"o}bner Cover for Geometrical
                 Loci Computation and Classification / Miguel A.
                 Ab{\'a}nades, Francisco Botana, Antonio Montes,
                 Tom{\'a}s Recio / 492--499 \\
                 Using Maple's RegularChains Library to Automatically
                 Classify Plane Geometric Loci / Francisco Botana,
                 Tom{\'a}s Recio / 500--503 \\
                 Solving Parametric Polynomial Systems by
                 RealComprehensiveTriangularize / Changbo Chen, Marc
                 Moreno Maza / 504--511 \\
                 QE Software Based on Comprehensive Gr{\"o}bner Systems
                 / Ryoya Fukasaku / 512--517 \\
                 SyNRAC: A Toolbox for Solving Real Algebraic
                 Constraints / Hidenao Iwane, Hitoshi Yanami, Hirokazu
                 Anai / 518--522 \\
                 An Algorithm for Computing Tjurina Stratifications of
                 $\mu$-Constant Deformations by Using Local Cohomology
                 Classes with Parameters / Katsusuke Nabeshima, Shinichi
                 Tajima / 523--530 \\
                 An Implementation Method of Boolean Gr{\"o}bner Bases
                 and Comprehensive Boolean Gr{\"o}bner Bases on General
                 Computer Algebra Systems / Akira Nagai, Shutaro Inoue /
                 531--536 \\
                 A Method to Determine if Two Parametric Polynomial
                 Systems Are Equal / Jie Zhou, Dingkang Wang / 537--544
                 \\
                 Mathematical Web/Mobile Interfaces and Visualization
                 \\
                 An Implementation Method of a CAS with a Handwriting
                 Interface on Tablet Devices / Mitsushi Fujimoto /
                 545--548 \\
                 New Way of Explanation of the Stochastic Interpretation
                 of Wave Functions and Its Teaching Materials Using
                 KETpic / Kenji Fukazawa / 549--553 \\
                 {IFSGen4\LaTeX}: Interactive Graphical User Interface
                 for Generation and Visualization of Iterated Function
                 Systems in {\LaTeX} / Akemi G{\'a}lvez, Kiyoshi
                 Kitahara, Masataka Kaneko / 554--561 \\
                 GNU {\TeX}MACS: towards a Scientific Office Suite /
                 Massimiliano Gubinelli, Joris van der Hoeven,
                 Fran{\c{c}}ois Poulain, Denis Raux / 562--569 \\
                 Computer Software Program for Representation and
                 Visualization of Free-Form Curves through Bio-inspired
                 Optimization Techniques / Andr{\'e}s Iglesias, Akemi
                 G{\'a}lvez / 570--577 \\
                 On Some Attempts to Verify the Effect of Using
                 High-Quality Graphics in Mathematics Education /
                 Kiyoshi Kitahara, Tadashi Takahashi, Masataka Kaneko /
                 578--585 \\
                 Math Web Search Interfaces and the Generation Gap of
                 Mathematicians / Andrea Kohlhase / 586--593 \\
                 Practice with Computer Algebra Systems in Mathematics
                 Education and Teacher Training Courses / Hideyo
                 Makishita / 594--600 \\
                 Development of Visual Aid Materials in Teaching the
                 Bivariate Normal Distributions / Toshifumi Nomachi,
                 Toshihiko Koshiba, Shunji Ouchi / 601--606 \\
                 Creating Interactive Graphics for Mathematics Education
                 Utilizing KETpic / Shunji Ouchi, Yoshifumi Maeda,
                 Kiyoshi Kitahara, Naoki Hamaguchi / 607--613 \\
                 A Tablet-Compatible Web-Interface for Mathematical
                 Collaboration / Marco Pollanen, Jeff Hooper, Bruce
                 Cater, Sohee Kang / 614--620 \\
                 Development and Evaluation of a Web-Based Drill System
                 to Master Basic Math Formulae Using a New Interactive
                 Math Input Method / Shizuka Shirai, Tetsuo Fukui /
                 621--628 \\
                 Generating Data of Mathematical Figures for 3D Printers
                 with KETpic and Educational Impact of the Printed
                 Models / Setsuo Takato, Naoki Hamaguchi, Haiduke
                 Sarafian / 629--634 \\
                 A Touch-Based Mathematical Expression Editor / Wei Su,
                 Paul S. Wang, Lian Li / 635--640 \\
                 Establishment of KETpic Programming Styles for Drawing
                 / Satoshi Yamashita, Yoshifumi Maeda, Hisashi Usui,
                 Kiyoshi Kitahara, Hideyo Makishita, Kazushi Ahara /
                 641--646 \\
                 General Session \\
                 Integration of Libnormaliz in CoCoALib and CoCoA 5 /
                 John Abbott, Anna Maria Bigatti, Christof S{\"o}ger /
                 647--653 \\
                 Elements of Design for Containers and Solutions in the
                 LinBox Library / Brice Boyer, Jean-Guillaume Dumas,
                 Pascal Giorgi, Cl{\'e}ment Pernet, B. David Saunders /
                 654--662 \\
                 Recent Developments in Normaliz / Winfried Bruns,
                 Christof S{\"o}ger / 663--668 \\
                 The Basic Polynomial Algebra Subprograms / Changbo
                 Chen, Svyatoslav Covanov, Farnam Mansouri, Marc Moreno
                 Maza, Ning Xie, Yuzhen Xie / 669--676 \\
                 Function Interval Arithmetic / Jan Duracz, Amin
                 Farjudian, Michal Kone{\v{c}}n{\'y}, Walid Taha /
                 677--684 \\
                 Generating Optimized Sparse Matrix Vector Product over
                 Finite Fields / Pascal Giorgi, Bastien Vialla /
                 685--690 \\
                 swMATH --- An Information Service for Mathematical
                 Software / Gert-Martin Greuel, Wolfram Sperber /
                 691--701 \\
                 MathLibre: Modifiable Desktop Environment for
                 Mathematics / Tatsuyoshi Hamada / 702--705 \\
                 Software Packages for Holonomic Gradient Method / Tamio
                 Koyama, Hiromasa Nakayama, Katsuyoshi Ohara, Tomonari
                 Sei, Nobuki Takayama / 706--712 \\
                 Metalibm: A Mathematical Functions Code Generator /
                 Olga Kupriianova, Christoph Lauter / 713--717 \\
                 From Calculus to Algorithms without Errors / Norbert
                 M{\"u}ller, Martin Ziegler / 718--724 \\
                 Dense Arithmetic over Finite Fields with the CUMODP
                 Library / Sardar Anisul Haque, Xin Li, Farnam Mansouri,
                 Marc Moreno Maza, Wei Pan, Ning Xie / 725--732 \\
                 Back Matter / / 733--735",
}


bibtype: book
filename: elefunt.bib
label: Higham:2015:PCA
booktitle: The Princeton Companion to Applied Mathematics
title: The Princeton Companion to Applied Mathematics
publisher: pub-PRINCETON
address: pub-PRINCETON:adr
pages: 994 (est.)
year: 2015
ISBN: 0-691-15039-7 (hardcover) OR 0691150397 (hardcover)
ISBN13: 978-0-691-15039-0 (hardcover) OR 9780691150390 (hardcover)
LCCN: QA155 .P75 2015
bibdate: Wed Sep 9 05:32:49 MDT 2015
bibtimestamp: 2015.09.09 05:32:49 MDT
subject: Algebra; Mathematics; Mathematical models
acknowledgement: ack-nhfb
rawbooktitle: The {Princeton} Companion to Applied Mathematics
rawtitle: The {Princeton} Companion to Applied Mathematics
editor:
Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; z3950.loc.gov:7090/Voyager

TOC:
Preface / ix Contributors / xiii Part I: Introduction to Applied Mathematics I.1 What Is Applied Mathematics? / 1 I.2 The Language of Applied Mathematics / 8 I.3 Methods of Solution / 27 I.4 Algorithms / 40 I.5 Goals of Applied Mathematical Research / 48 I.6 The History of Applied Mathematics / 55 Part II: Concepts II.1 Asymptotics / 81 II.2 Boundary Layer / 82 II.3 Chaos and Ergodicity / 82 II.4 Complex Systems / 83 II.5 Conformal Mapping / 84 II.6 Conservation Laws / 86 II.7 Control / 88 II.8 Convexity / 89 II.9 Dimensional Analysis and Scaling / 90 II.10 The Fast Fourier Transform / 94 II.11 Finite Differences / 95 II.12 The Finite-Element Method / 96 II.13 Floating-Point Arithmetic / 96 II.14 Functions of Matrices / 97 II.15 Function Spaces / 99 II.16 Graph Theory / 101 II.17 Homogenization / 103 II.18 Hybrid Systems / 103 II.19 Integral Transforms and Convolution / 104 II.20 Interval Analysis / 105 II.21 Invariants and Conservation Laws / 106 II.22 The Jordan Canonical Form / 112 II.23 Krylov Subspaces / 113 II.24 The Level Set Method / 114 II.25 Markov Chains / 116 II.26 Model Reduction / 117 II.27 Multiscale Modeling / 119 II.28 Nonlinear Equations and Newton's Method / 120 II.29 Orthogonal Polynomials / 122 II.30 Shocks / 122 II.31 Singularities / 124 II.32 The Singular Value Decomposition / 126 II.33 Tensors and Manifolds / 127 II.34 Uncertainty Quantification / 131 II.35 Variational Principle / 134 II.36 Wave Phenomena / 134 Part III: Equations, Laws, and Functions of Applied Mathematics III.1 Benford's Law / 135 III.2 Bessel Functions / 137 III.3 The Black--Scholes Equation / 137 III.4 The Burgers Equation / 138 III.5 The Cahn--Hilliard Equation / 138 III.6 The Cauchy--Riemann Equations / 139 III.7 The Delta Function and Generalized Functions / 139 III.8 The Diffusion Equation / 142 III.9 The Dirac Equation / 142 III.10 Einstein's Field Equations / 144 III.11 The Euler Equations / 146 III.12 The Euler--Lagrange Equations / 147 III.13 The Gamma Function / 148 III.14 The Ginzburg--Landau Equation / 148 III.15 Hooke's Law / 149 III.16 The Korteweg--de Vries Equation / 150 III.17 The Lambert $W$ Function / 151 III.18 Laplace's Equation / 155 III.19 The Logistic Equation / 156 III.20 The Lorenz Equations / 158 III.21 Mathieu Functions / 159 III.22 Maxwell's Equations / 160 III.23 The Navier--Stokes Equations / 162 III.24 The Painleve Equations / 163 III.25 The Riccati Equation / 165 III.26 Schrodinger's Equation / 167 III.27 The Shallow-Water Equations / 167 III.28 The Sylvester and Lyapunov Equations / 168 III.29 The Thin-Film Equation / 169 III.30 The Tricomi Equation / 170 III.31 The Wave Equation / 171 Part IV: Areas of Applied Mathematics IV.1 Complex Analysis / 173 IV.2 Ordinary Differential Equations / 181 IV.3 Partial Differential Equations / 190 IV.4 Integral Equations / 200 IV.5 Perturbation Theory and Asymptotics / 208 IV.6 Calculus of Variations / 218 IV.7 Special Functions / 227 IV.8 Spectral Theory / 236 IV.9 Approximation Theory / 248 IV.10 Numerical Linear Algebra and Matrix Analysis / 263 IV.11 Continuous Optimization (Nonlinear and Linear Programming) / 281 IV.12 Numerical Solution of Ordinary Differential Equations / 293 IV.13 Numerical Solution of Partial Differential Equations / 306 IV.14 Applications of Stochastic Analysis / 319 IV.15 Inverse Problems / 327 IV.16 Computational Science / 335 IV.17 Data Mining and Analysis / 350 IV.18 Network Analysis / 360 IV.19 Classical Mechanics / 374 IV.20 Dynamical Systems / 383 IV.21 Bifurcation Theory / 393 IV.22 Symmetry in Applied Mathematics / 402 IV.23 Quantum Mechanics / 411 IV.24 Random-Matrix Theory / 419 IV.25 Kinetic Theory / 428 IV.26 Continuum Mechanics / 446 IV.27 Pattern Formation / 458 IV.28 Fluid Dynamics / 467 IV.29 Magnetohydrodynamics / 476 IV.30 Earth System Dynamics / 485 IV.31 Effective Medium Theories / 500 IV.32 Mechanics of Solids / 505 IV.33 Soft Matter / 516 IV.34 Control Theory / 523 IV.35 Signal Processing / 533 IV.36 Information Theory / 545 IV.37 Applied Combinatorics and Graph Theory / 552 IV.38 Combinatorial Optimization / 564 IV.39 Algebraic Geometry / 570 IV.40 General Relativity and Cosmology / 579 Part V: Modeling V.1 The Mathematics of Adaptation (Or the Ten Avatars of Vishnu) / 591 V.2 Sport / 598 V.3 Inerters / 604 V.4 Mathematical Biomechanics / 609 V.5 Mathematical Physiology / 616 V.6 Cardiac Modeling / 623 V.7 Chemical Reactions / 627 V.8 Divergent Series: Taming the Tails / 634 V.9 Financial Mathematics / 640 V.10 Portfolio Theory / 648 V.11 Bayesian Inference in Applied Mathematics / 658 V.12 A Symmetric Framework with Many Applications / 661 V.13 Granular Flows / 665 V.14 Modern Optics / 673 V.15 Numerical Relativity / 680 V.16 The Spread of Infectious Diseases / 687 V.17 The Mathematics of Sea Ice / 694 V.18 Numerical Weather Prediction / 705 V.19 Tsunami Modeling / 712 V.20 Shock Waves / 720 V.21 Turbulence / 724 Part VI: Example Problems VI.1 Cloaking / 733 VI.2 Bubbles / 735 VI.3 Foams / 737 VI.4 Inverted Pendulums / 741 VI.5 Insect Flight / 743 VI.6 The Flight of a Golf Ball / 746 VI.7 Automatic Differentiation / 749 VI.8 Knotting and Linking of Macromolecules / 752 VI.9 Ranking Web Pages / 755 VI.10 Searching a Graph / 757 VI.11 Evaluating Elementary Functions / 759 VI.12 Random Number Generation / 761 VI.13 Optimal Sensor Location in the Control of Energy-Efficient Buildings / 763 VI.14 Robotics / 767 VI.15 Slipping, Sliding, Rattling, and Impact: Nonsmooth Dynamics and Its Applications / 769 VI.16 From the $N$-Body Problem to Astronomy and Dark Matter / 771 VI.17 The $N$-Body Problem and the Fast Multipole Method / 775 VI.18 The Traveling Salesman Problem / 778 Part VII: Application Areas VII.1 Aircraft Noise / 783 VII.2 A Hybrid Symbolic--Numeric Approach to Geometry Processing and Modeling / 787 VII.3 Computer-Aided Proofs via Interval Analysis / 790 VII.4 Applications of Max-Plus Algebra / 795 VII.5 Evolving Social Networks, Attitudes, and Beliefs --- and Counterterrorism / 800 VII.6 Chip Design / 804 VII.7 Color Spaces and Digital Imaging / 808 VII.8 Mathematical Image Processing / 813 VII.9 Medical Imaging / 816 VII.10 Compressed Sensing / 823 VII.11 Programming Languages: An Applied Mathematics View / 828 VII.12 High-Performance Computing / 839 VII.13 Visualization / 843 VII.14 Electronic Structure Calculations (Solid State Physics) / 847 VII.15 Flame Propagation / 852 VII.16 Imaging the Earth Using Green's Theorem / 857 VII.17 Radar Imaging / 860 VII.18 Modeling a Pregnancy Testing Kit / 864 VII.19 Airport Baggage Screening with X-Ray Tomography / 866 VII.20 Mathematical Economics / 868 VII.21 Mathematical Neuroscience / 873 VII.22 Systems Biology / 879 VII.23 Communication Networks / 883 VII.24 Text Mining / 887 VII.25 Voting Systems / 891 Part VIII: Final Perspectives VIII.1 Mathematical Writing / 897 VIII.2 How to Read and Understand a Paper / 903 VIII.3 How to Write a General Interest Mathematics Book / 906 VIII.4 Workflow / 912 VIII.5 Reproducible Research in the Mathematical Sciences / 916 VIII.6 Experimental Applied Mathematics / 925 VIII.7 Teaching Applied Mathematics / 933 VIII.8 Mediated Mathematics: Representations of Mathematics in Popular Culture and Why These Matter / 943 VIII.9 Mathematics and Policy / 953 Index / 963

raweditor:
Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner

rawTOC:
Preface / ix \\ Contributors / xiii \\ Part I: Introduction to Applied Mathematics \\ I.1 What Is Applied Mathematics? / 1 \\ I.2 The Language of Applied Mathematics / 8 \\ I.3 Methods of Solution / 27 \\ I.4 Algorithms / 40 \\ I.5 Goals of Applied Mathematical Research / 48 \\ I.6 The History of Applied Mathematics / 55 \\ Part II: Concepts \\ II.1 Asymptotics / 81 \\ II.2 Boundary Layer / 82 \\ II.3 Chaos and Ergodicity / 82 \\ II.4 Complex Systems / 83 \\ II.5 Conformal Mapping / 84 \\ II.6 Conservation Laws / 86 \\ II.7 Control / 88 \\ II.8 Convexity / 89 \\ II.9 Dimensional Analysis and Scaling / 90 \\ II.10 The Fast Fourier Transform / 94 \\ II.11 Finite Differences / 95 \\ II.12 The Finite-Element Method / 96 \\ II.13 Floating-Point Arithmetic / 96 \\ II.14 Functions of Matrices / 97 \\ II.15 Function Spaces / 99 \\ II.16 Graph Theory / 101 \\ II.17 Homogenization / 103 \\ II.18 Hybrid Systems / 103 \\ II.19 Integral Transforms and Convolution / 104 \\ II.20 Interval Analysis / 105 \\ II.21 Invariants and Conservation Laws / 106 \\ II.22 The Jordan Canonical Form / 112 \\ II.23 Krylov Subspaces / 113 \\ II.24 The Level Set Method / 114 \\ II.25 Markov Chains / 116 \\ II.26 Model Reduction / 117 \\ II.27 Multiscale Modeling / 119 \\ II.28 Nonlinear Equations and Newton's Method / 120 \\ II.29 Orthogonal Polynomials / 122 \\ II.30 Shocks / 122 \\ II.31 Singularities / 124 \\ II.32 The Singular Value Decomposition / 126 \\ II.33 Tensors and Manifolds / 127 \\ II.34 Uncertainty Quantification / 131 \\ II.35 Variational Principle / 134 \\ II.36 Wave Phenomena / 134 \\ Part III: Equations, Laws, and Functions of Applied Mathematics \\ III.1 Benford's Law / 135 \\ III.2 Bessel Functions / 137 \\ III.3 The Black--Scholes Equation / 137 \\ III.4 The Burgers Equation / 138 \\ III.5 The Cahn--Hilliard Equation / 138 \\ III.6 The Cauchy--Riemann Equations / 139 \\ III.7 The Delta Function and Generalized Functions / 139 \\ III.8 The Diffusion Equation / 142 \\ III.9 The Dirac Equation / 142 \\ III.10 Einstein's Field Equations / 144 \\ III.11 The Euler Equations / 146 \\ III.12 The Euler--Lagrange Equations / 147 \\ III.13 The Gamma Function / 148 \\ III.14 The Ginzburg--Landau Equation / 148 \\ III.15 Hooke's Law / 149 \\ III.16 The Korteweg--de Vries Equation / 150 \\ III.17 The Lambert $W$ Function / 151 \\ III.18 Laplace's Equation / 155 \\ III.19 The Logistic Equation / 156 \\ III.20 The Lorenz Equations / 158 \\ III.21 Mathieu Functions / 159 \\ III.22 Maxwell's Equations / 160 \\ III.23 The Navier--Stokes Equations / 162 \\ III.24 The Painlev{\'e} Equations / 163 \\ III.25 The Riccati Equation / 165 \\ III.26 Schr{\"o}dinger's Equation / 167 \\ III.27 The Shallow-Water Equations / 167 \\ III.28 The Sylvester and Lyapunov Equations / 168 \\ III.29 The Thin-Film Equation / 169 \\ III.30 The Tricomi Equation / 170 \\ III.31 The Wave Equation / 171 \\ Part IV: Areas of Applied Mathematics \\ IV.1 Complex Analysis / 173 \\ IV.2 Ordinary Differential Equations / 181 \\ IV.3 Partial Differential Equations / 190 \\ IV.4 Integral Equations / 200 \\ IV.5 Perturbation Theory and Asymptotics / 208 \\ IV.6 Calculus of Variations / 218 \\ IV.7 Special Functions / 227 \\ IV.8 Spectral Theory / 236 \\ IV.9 Approximation Theory / 248 \\ IV.10 Numerical Linear Algebra and Matrix Analysis / 263 \\ IV.11 Continuous Optimization (Nonlinear and Linear Programming) / 281 \\ IV.12 Numerical Solution of Ordinary Differential Equations / 293 \\ IV.13 Numerical Solution of Partial Differential Equations / 306 \\ IV.14 Applications of Stochastic Analysis / 319 \\ IV.15 Inverse Problems / 327 \\ IV.16 Computational Science / 335 \\ IV.17 Data Mining and Analysis / 350 \\ IV.18 Network Analysis / 360 \\ IV.19 Classical Mechanics / 374 \\ IV.20 Dynamical Systems / 383 \\ IV.21 Bifurcation Theory / 393 \\ IV.22 Symmetry in Applied Mathematics / 402 \\ IV.23 Quantum Mechanics / 411 \\ IV.24 Random-Matrix Theory / 419 \\ IV.25 Kinetic Theory / 428 \\ IV.26 Continuum Mechanics / 446 \\ IV.27 Pattern Formation / 458 \\ IV.28 Fluid Dynamics / 467 \\ IV.29 Magnetohydrodynamics / 476 \\ IV.30 Earth System Dynamics / 485 \\ IV.31 Effective Medium Theories / 500 \\ IV.32 Mechanics of Solids / 505 \\ IV.33 Soft Matter / 516 \\ IV.34 Control Theory / 523 \\ IV.35 Signal Processing / 533 \\ IV.36 Information Theory / 545 \\ IV.37 Applied Combinatorics and Graph Theory / 552 \\ IV.38 Combinatorial Optimization / 564 \\ IV.39 Algebraic Geometry / 570 \\ IV.40 General Relativity and Cosmology / 579 \\ Part V: Modeling \\ V.1 The Mathematics of Adaptation (Or the Ten Avatars of Vishnu) / 591 \\ V.2 Sport / 598 \\ V.3 Inerters / 604 \\ V.4 Mathematical Biomechanics / 609 \\ V.5 Mathematical Physiology / 616 \\ V.6 Cardiac Modeling / 623 \\ V.7 Chemical Reactions / 627 \\ V.8 Divergent Series: Taming the Tails / 634 \\ V.9 Financial Mathematics / 640 \\ V.10 Portfolio Theory / 648 \\ V.11 Bayesian Inference in Applied Mathematics / 658 \\ V.12 A Symmetric Framework with Many Applications / 661 \\ V.13 Granular Flows / 665 \\ V.14 Modern Optics / 673 \\ V.15 Numerical Relativity / 680 \\ V.16 The Spread of Infectious Diseases / 687 \\ V.17 The Mathematics of Sea Ice / 694 \\ V.18 Numerical Weather Prediction / 705 \\ V.19 Tsunami Modeling / 712 \\ V.20 Shock Waves / 720 \\ V.21 Turbulence / 724 \\ Part VI: Example Problems \\ VI.1 Cloaking / 733 \\ VI.2 Bubbles / 735 \\ VI.3 Foams / 737 \\ VI.4 Inverted Pendulums / 741 \\ VI.5 Insect Flight / 743 \\ VI.6 The Flight of a Golf Ball / 746 \\ VI.7 Automatic Differentiation / 749 \\ VI.8 Knotting and Linking of Macromolecules / 752 \\ VI.9 Ranking Web Pages / 755 \\ VI.10 Searching a Graph / 757 \\ VI.11 Evaluating Elementary Functions / 759 \\ VI.12 Random Number Generation / 761 \\ VI.13 Optimal Sensor Location in the Control of Energy-Efficient Buildings / 763 \\ VI.14 Robotics / 767 \\ VI.15 Slipping, Sliding, Rattling, and Impact: Nonsmooth Dynamics and Its Applications / 769 \\ VI.16 From the $N$-Body Problem to Astronomy and Dark Matter / 771 \\ VI.17 The $N$-Body Problem and the Fast Multipole Method / 775 \\ VI.18 The Traveling Salesman Problem / 778 \\ Part VII: Application Areas \\ VII.1 Aircraft Noise / 783 \\ VII.2 A Hybrid Symbolic--Numeric Approach to Geometry Processing and Modeling / 787 \\ VII.3 Computer-Aided Proofs via Interval Analysis / 790 \\ VII.4 Applications of Max-Plus Algebra / 795 \\ VII.5 Evolving Social Networks, Attitudes, and Beliefs --- and Counterterrorism / 800 \\ VII.6 Chip Design / 804 \\ VII.7 Color Spaces and Digital Imaging / 808 \\ VII.8 Mathematical Image Processing / 813 \\ VII.9 Medical Imaging / 816 \\ VII.10 Compressed Sensing / 823 \\ VII.11 Programming Languages: An Applied Mathematics View / 828 \\ VII.12 High-Performance Computing / 839 \\ VII.13 Visualization / 843 \\ VII.14 Electronic Structure Calculations (Solid State Physics) / 847 \\ VII.15 Flame Propagation / 852 \\ VII.16 Imaging the Earth Using Green's Theorem / 857 \\ VII.17 Radar Imaging / 860 \\ VII.18 Modeling a Pregnancy Testing Kit / 864 \\ VII.19 Airport Baggage Screening with X-Ray Tomography / 866 \\ VII.20 Mathematical Economics / 868 \\ VII.21 Mathematical Neuroscience / 873 \\ VII.22 Systems Biology / 879 \\ VII.23 Communication Networks / 883 \\ VII.24 Text Mining / 887 \\ VII.25 Voting Systems / 891 \\ Part VIII: Final Perspectives \\ VIII.1 Mathematical Writing / 897 \\ VIII.2 How to Read and Understand a Paper / 903 \\ VIII.3 How to Write a General Interest Mathematics Book / 906 \\ VIII.4 Workflow / 912 \\ VIII.5 Reproducible Research in the Mathematical Sciences / 916 \\ VIII.6 Experimental Applied Mathematics / 925 \\ VIII.7 Teaching Applied Mathematics / 933 \\ VIII.8 Mediated Mathematics: Representations of Mathematics in Popular Culture and Why These Matter / 943 \\ VIII.9 Mathematics and Policy / 953 \\ Index / 963

entry:
@Book{Higham:2015:PCA,
  editor =       "Nicholas J. Higham and Mark R. Dennis and Paul
                 Glendinning and Paul A. Martin and Fadil Santosa and
                 Jared Tanner",
  booktitle =    "The {Princeton} Companion to Applied Mathematics",
  title =        "The {Princeton} Companion to Applied Mathematics",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "994 (est.)",
  year =         "2015",
  ISBN =         "0-691-15039-7 (hardcover)",
  ISBN-13 =      "978-0-691-15039-0 (hardcover)",
  LCCN =         "QA155 .P75 2015",
  bibdate =      "Wed Sep 9 05:32:49 MDT 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Algebra; Mathematics; Mathematical models",
  tableofcontents = "Preface / ix \\
                 Contributors / xiii \\
                 Part I: Introduction to Applied Mathematics \\
                 I.1 What Is Applied Mathematics? / 1 \\
                 I.2 The Language of Applied Mathematics / 8 \\
                 I.3 Methods of Solution / 27 \\
                 I.4 Algorithms / 40 \\
                 I.5 Goals of Applied Mathematical Research / 48 \\
                 I.6 The History of Applied Mathematics / 55 \\
                 Part II: Concepts \\
                 II.1 Asymptotics / 81 \\
                 II.2 Boundary Layer / 82 \\
                 II.3 Chaos and Ergodicity / 82 \\
                 II.4 Complex Systems / 83 \\
                 II.5 Conformal Mapping / 84 \\
                 II.6 Conservation Laws / 86 \\
                 II.7 Control / 88 \\
                 II.8 Convexity / 89 \\
                 II.9 Dimensional Analysis and Scaling / 90 \\
                 II.10 The Fast Fourier Transform / 94 \\
                 II.11 Finite Differences / 95 \\
                 II.12 The Finite-Element Method / 96 \\
                 II.13 Floating-Point Arithmetic / 96 \\
                 II.14 Functions of Matrices / 97 \\
                 II.15 Function Spaces / 99 \\
                 II.16 Graph Theory / 101 \\
                 II.17 Homogenization / 103 \\
                 II.18 Hybrid Systems / 103 \\
                 II.19 Integral Transforms and Convolution / 104 \\
                 II.20 Interval Analysis / 105 \\
                 II.21 Invariants and Conservation Laws / 106 \\
                 II.22 The Jordan Canonical Form / 112 \\
                 II.23 Krylov Subspaces / 113 \\
                 II.24 The Level Set Method / 114 \\
                 II.25 Markov Chains / 116 \\
                 II.26 Model Reduction / 117 \\
                 II.27 Multiscale Modeling / 119 \\
                 II.28 Nonlinear Equations and Newton's Method / 120 \\
                 II.29 Orthogonal Polynomials / 122 \\
                 II.30 Shocks / 122 \\
                 II.31 Singularities / 124 \\
                 II.32 The Singular Value Decomposition / 126 \\
                 II.33 Tensors and Manifolds / 127 \\
                 II.34 Uncertainty Quantification / 131 \\
                 II.35 Variational Principle / 134 \\
                 II.36 Wave Phenomena / 134 \\
                 Part III: Equations, Laws, and Functions of Applied
                 Mathematics \\
                 III.1 Benford's Law / 135 \\
                 III.2 Bessel Functions / 137 \\
                 III.3 The Black--Scholes Equation / 137 \\
                 III.4 The Burgers Equation / 138 \\
                 III.5 The Cahn--Hilliard Equation / 138 \\
                 III.6 The Cauchy--Riemann Equations / 139 \\
                 III.7 The Delta Function and Generalized Functions /
                 139 \\
                 III.8 The Diffusion Equation / 142 \\
                 III.9 The Dirac Equation / 142 \\
                 III.10 Einstein's Field Equations / 144 \\
                 III.11 The Euler Equations / 146 \\
                 III.12 The Euler--Lagrange Equations / 147 \\
                 III.13 The Gamma Function / 148 \\
                 III.14 The Ginzburg--Landau Equation / 148 \\
                 III.15 Hooke's Law / 149 \\
                 III.16 The Korteweg--de Vries Equation / 150 \\
                 III.17 The Lambert $W$ Function / 151 \\
                 III.18 Laplace's Equation / 155 \\
                 III.19 The Logistic Equation / 156 \\
                 III.20 The Lorenz Equations / 158 \\
                 III.21 Mathieu Functions / 159 \\
                 III.22 Maxwell's Equations / 160 \\
                 III.23 The Navier--Stokes Equations / 162 \\
                 III.24 The Painlev{\'e} Equations / 163 \\
                 III.25 The Riccati Equation / 165 \\
                 III.26 Schr{\"o}dinger's Equation / 167 \\
                 III.27 The Shallow-Water Equations / 167 \\
                 III.28 The Sylvester and Lyapunov Equations / 168 \\
                 III.29 The Thin-Film Equation / 169 \\
                 III.30 The Tricomi Equation / 170 \\
                 III.31 The Wave Equation / 171 \\
                 Part IV: Areas of Applied Mathematics \\
                 IV.1 Complex Analysis / 173 \\
                 IV.2 Ordinary Differential Equations / 181 \\
                 IV.3 Partial Differential Equations / 190 \\
                 IV.4 Integral Equations / 200 \\
                 IV.5 Perturbation Theory and Asymptotics / 208 \\
                 IV.6 Calculus of Variations / 218 \\
                 IV.7 Special Functions / 227 \\
                 IV.8 Spectral Theory / 236 \\
                 IV.9 Approximation Theory / 248 \\
                 IV.10 Numerical Linear Algebra and Matrix Analysis /
                 263 \\
                 IV.11 Continuous Optimization (Nonlinear and Linear
                 Programming) / 281 \\
                 IV.12 Numerical Solution of Ordinary Differential
                 Equations / 293 \\
                 IV.13 Numerical Solution of Partial Differential
                 Equations / 306 \\
                 IV.14 Applications of Stochastic Analysis / 319 \\
                 IV.15 Inverse Problems / 327 \\
                 IV.16 Computational Science / 335 \\
                 IV.17 Data Mining and Analysis / 350 \\
                 IV.18 Network Analysis / 360 \\
                 IV.19 Classical Mechanics / 374 \\
                 IV.20 Dynamical Systems / 383 \\
                 IV.21 Bifurcation Theory / 393 \\
                 IV.22 Symmetry in Applied Mathematics / 402 \\
                 IV.23 Quantum Mechanics / 411 \\
                 IV.24 Random-Matrix Theory / 419 \\
                 IV.25 Kinetic Theory / 428 \\
                 IV.26 Continuum Mechanics / 446 \\
                 IV.27 Pattern Formation / 458 \\
                 IV.28 Fluid Dynamics / 467 \\
                 IV.29 Magnetohydrodynamics / 476 \\
                 IV.30 Earth System Dynamics / 485 \\
                 IV.31 Effective Medium Theories / 500 \\
                 IV.32 Mechanics of Solids / 505 \\
                 IV.33 Soft Matter / 516 \\
                 IV.34 Control Theory / 523 \\
                 IV.35 Signal Processing / 533 \\
                 IV.36 Information Theory / 545 \\
                 IV.37 Applied Combinatorics and Graph Theory / 552 \\
                 IV.38 Combinatorial Optimization / 564 \\
                 IV.39 Algebraic Geometry / 570 \\
                 IV.40 General Relativity and Cosmology / 579 \\
                 Part V: Modeling \\
                 V.1 The Mathematics of Adaptation (Or the Ten Avatars
                 of Vishnu) / 591 \\
                 V.2 Sport / 598 \\
                 V.3 Inerters / 604 \\
                 V.4 Mathematical Biomechanics / 609 \\
                 V.5 Mathematical Physiology / 616 \\
                 V.6 Cardiac Modeling / 623 \\
                 V.7 Chemical Reactions / 627 \\
                 V.8 Divergent Series: Taming the Tails / 634 \\
                 V.9 Financial Mathematics / 640 \\
                 V.10 Portfolio Theory / 648 \\
                 V.11 Bayesian Inference in Applied Mathematics / 658
                 \\
                 V.12 A Symmetric Framework with Many Applications / 661
                 \\
                 V.13 Granular Flows / 665 \\
                 V.14 Modern Optics / 673 \\
                 V.15 Numerical Relativity / 680 \\
                 V.16 The Spread of Infectious Diseases / 687 \\
                 V.17 The Mathematics of Sea Ice / 694 \\
                 V.18 Numerical Weather Prediction / 705 \\
                 V.19 Tsunami Modeling / 712 \\
                 V.20 Shock Waves / 720 \\
                 V.21 Turbulence / 724 \\
                 Part VI: Example Problems \\
                 VI.1 Cloaking / 733 \\
                 VI.2 Bubbles / 735 \\
                 VI.3 Foams / 737 \\
                 VI.4 Inverted Pendulums / 741 \\
                 VI.5 Insect Flight / 743 \\
                 VI.6 The Flight of a Golf Ball / 746 \\
                 VI.7 Automatic Differentiation / 749 \\
                 VI.8 Knotting and Linking of Macromolecules / 752 \\
                 VI.9 Ranking Web Pages / 755 \\
                 VI.10 Searching a Graph / 757 \\
                 VI.11 Evaluating Elementary Functions / 759 \\
                 VI.12 Random Number Generation / 761 \\
                 VI.13 Optimal Sensor Location in the Control of
                 Energy-Efficient Buildings / 763 \\
                 VI.14 Robotics / 767 \\
                 VI.15 Slipping, Sliding, Rattling, and Impact:
                 Nonsmooth Dynamics and Its Applications / 769 \\
                 VI.16 From the $N$-Body Problem to Astronomy and Dark
                 Matter / 771 \\
                 VI.17 The $N$-Body Problem and the Fast Multipole
                 Method / 775 \\
                 VI.18 The Traveling Salesman Problem / 778 \\
                 Part VII: Application Areas \\
                 VII.1 Aircraft Noise / 783 \\
                 VII.2 A Hybrid Symbolic--Numeric Approach to Geometry
                 Processing and Modeling / 787 \\
                 VII.3 Computer-Aided Proofs via Interval Analysis / 790
                 \\
                 VII.4 Applications of Max-Plus Algebra / 795 \\
                 VII.5 Evolving Social Networks, Attitudes, and Beliefs
                 --- and Counterterrorism / 800 \\
                 VII.6 Chip Design / 804 \\
                 VII.7 Color Spaces and Digital Imaging / 808 \\
                 VII.8 Mathematical Image Processing / 813 \\
                 VII.9 Medical Imaging / 816 \\
                 VII.10 Compressed Sensing / 823 \\
                 VII.11 Programming Languages: An Applied Mathematics
                 View / 828 \\
                 VII.12 High-Performance Computing / 839 \\
                 VII.13 Visualization / 843 \\
                 VII.14 Electronic Structure Calculations (Solid State
                 Physics) / 847 \\
                 VII.15 Flame Propagation / 852 \\
                 VII.16 Imaging the Earth Using Green's Theorem / 857
                 \\
                 VII.17 Radar Imaging / 860 \\
                 VII.18 Modeling a Pregnancy Testing Kit / 864 \\
                 VII.19 Airport Baggage Screening with X-Ray Tomography
                 / 866 \\
                 VII.20 Mathematical Economics / 868 \\
                 VII.21 Mathematical Neuroscience / 873 \\
                 VII.22 Systems Biology / 879 \\
                 VII.23 Communication Networks / 883 \\
                 VII.24 Text Mining / 887 \\
                 VII.25 Voting Systems / 891 \\
                 Part VIII: Final Perspectives \\
                 VIII.1 Mathematical Writing / 897 \\
                 VIII.2 How to Read and Understand a Paper / 903 \\
                 VIII.3 How to Write a General Interest Mathematics Book
                 / 906 \\
                 VIII.4 Workflow / 912 \\
                 VIII.5 Reproducible Research in the Mathematical
                 Sciences / 916 \\
                 VIII.6 Experimental Applied Mathematics / 925 \\
                 VIII.7 Teaching Applied Mathematics / 933 \\
                 VIII.8 Mediated Mathematics: Representations of
                 Mathematics in Popular Culture and Why These Matter /
                 943 \\
                 VIII.9 Mathematics and Policy / 953 \\
                 Index / 963",
}


