Last update:
Thu Apr 4 12:32:58 MDT 2024
C. Truesdell A program toward rediscovering the
rational mechanics of the age of reason 1--36
Árpád Szabó Anfänge des euklidischen Axiomensystems.
(German) [Beginnings of the Euclidean
axiom system] . . . . . . . . . . . . . 37--106
B. L. van der Waerden Ausgleichspunkt, ``Methode der Perser''
und indische Planetenrechnung. (German)
[Balance point, ``method of the
Persian'' and Indian planet calculation] 107--121
J. E. Hofmann Über zahlentheoretische Methoden Fermats
und Eulers, ihre Zusammenhänge und ihre
Bedeutung. (German) [On the
number-theoretical method of Fermat and
Euler, its relationships and its
meaning] . . . . . . . . . . . . . . . . 122--159
Vasco Ronchi Classical optics is a mathematical
science . . . . . . . . . . . . . . . . 160--171
A. Rupert Hall Cartesian dynamics . . . . . . . . . . . 172--178
Derek Thomas Whiteside Patterns of mathematical thought in the
later seventeenth century . . . . . . . 179--388
Johs. Lohne Newton's ``proof'' of the sine law and
his mathematical principles of colors 389--405
Christoph J. Scriba Zur Lösung des 2. Debeauneschen Problems
durch Descartes Ein Abschnitt aus der
Frühgeschichte der inversen
Tangentenaufgaben. (German) [On the
solution of the 2nd Debeaune problem of
Descartes: a section from the early
history of the inverse-tangent
exercises] . . . . . . . . . . . . . . . 406--419
Edward Grant Nicole Oresme and the commensurability
or incommensurability of the celestial
motions . . . . . . . . . . . . . . . . 420--458
Martin J. Klein Max Planck and the beginnings of the
quantum theory . . . . . . . . . . . . . 459--479
Wilhelm Servatius Peters Das Parallelenproblem bei A. G. Kaestner
Zur Parallelenforschung im 18.
Jahrhundert. (German) [The parallel
problem of A. G. Kaestner for parallel
research in the 18$^{{\rm th}}$ Century] 480--487
A. Seidenberg The ritual origin of geometry . . . . . 488--527
A. Seidenberg The ritual origin of counting . . . . . 1--40
Sydney Chapman Alexander von Humboldt and geomagnetic
science . . . . . . . . . . . . . . . . 41--51
P. F. Neményi The main concepts and ideas of fluid
dynamics in their historical development 52--86
I. G. Bachmakova Les méthodes différentielles d'Archim\`ede 87--107
Heinrich Hermelink Tabulae Jahen. (German) . . . . . . . . 108--112
Christoph J. Scriba The inverse method of tangents: a
dialogue between Leibniz and Newton
(1675--1677) . . . . . . . . . . . . . . 113--137
James A. Ruffner Reinterpretation of the genesis of
Newton's ``Law of Cooling'' . . . . . . 138--152
Wilhelm Servatius Peters Zum Begriff der Konstruierbarkeit bei I.
Kant. (German) [On the term
constructableness of I. Kant] . . . . . 153--167
B. van Rootselaar Bolzano's theory of real numbers . . . . 168--180
Richard S. Westfall Isaac Newton's coloured circles twixt
two contiguous glasses . . . . . . . . . 181--196
Árpád Szabó Die frühgriechische Proportionenlehre im
Spiegel ihrer Terminologie. (German)
[The early Greek proportion teachings in
the mirror of their terminology] . . . . 197--270
Jos. E. Hofmann Aus der Frühzeit der
Infinitesimalmethoden:
Auseinandersetzung um die algebraische
Quadratur algebraischer Kurven in der
zweiten Hälfte des 17. Jahrhunderts.
(German) [From the early period of
infinitesimal methods: Arguments about
the algebraic quadrature of algebraic
curves in the second half of the
17$^{{\rm th}}$ century] . . . . . . . . 271--343
Edward Grant Bradwardine and Galileo: Equality of
velocities in the void . . . . . . . . . 344--364
L. Rosenfeld Newton and the Law of Gravitation . . . 365--386
H. L. L. Busard Unendliche Reihen in A est unum calidum.
(German) [Infinite series in A est unum
calidum] . . . . . . . . . . . . . . . . 387--397
Detlef Laugwitz Bemerkungen zu Bolzanos Größenlehre.
(German) [Remarks on Bolzano's size
teachings [????]] . . . . . . . . . . . 398--409
Jürgen Mittelstrass Die Entdeckung der Möglichkeit von
Wissenschaft. (German) [The development
of probability in science] . . . . . . . 410--435
A. Seidenberg The sixty system of Sumer . . . . . . . 436--440
C. Webster The discovery of Boyle's Law, and the
concept of the elasticity of air in the
seventeenth century . . . . . . . . . . 441--502
Herbert Meschkowski Aus den Briefbüchern Georg Cantors.
(German) [From the diaries of George
Cantor] . . . . . . . . . . . . . . . . 503--519
H. L. L. Busard The Practica Geometriae of Dominicus de
Clavasio . . . . . . . . . . . . . . . . 520--575
Michael Bernkopf The development of function spaces with
particular reference to their origins in
integral equation theory . . . . . . . . 1--96
A. Seidenberg Remarks on Nicomedes' duplication . . . 97--101
Jos. E. Hofmann Über die Kreismessung von Chr. Huygens,
ihre Vorgeschichte, ihren Inhalt, ihre
Bedeutung und ihr Nachwirken. (German)
[On the circle measurement of Chr.
Huygens, their prehistory, their
contents, their meaning and their having
a lasting effect] . . . . . . . . . . . 102--136
Charles S. Fisher The death of a mathematical theory: a
study in the sociology of knowledge . . 137--159
Russell McCormmach The atomic theory of John William
Nicholson . . . . . . . . . . . . . . . 160--184
J. A. Lohne Dokumente zur Revalidierung von Thomas
Harriot als Algebraiker. (German)
[Documents on the revalidation of Thomas
Harriot as an algebraicist] . . . . . . 185--205
J. E. McGuire Body and void and Newton's De Mundi
systemate: Some new sources . . . . . . 206--248
Imre Tóth Das Parallelenproblem im Corpus
Aristotelicum. (German) [The Problem of
Parallels in Corpus Aristotelicum] . . . 249--422
Friedhelm Beckmann Neue Gesichtspunkte zum 5. Buch Euklids.
(German) [New criteria on the 5th Book
of Euclid] . . . . . . . . . . . . . . . 1--144
Stephen G. Brush Foundations of statistical mechanics
1845--1915 . . . . . . . . . . . . . . . 145--183
J. Brookes Spencer Boscovich's theory and its relation to
Faraday's researches: an analytic
approach . . . . . . . . . . . . . . . . 184--202
Roderick W. Home Francis Hauksbee's theory of electricity 203--217
Joan Bromberg Maxwell's displacement current and his
theory of light . . . . . . . . . . . . 218--234
J. J. Burckhardt Zur Geschichte der Entdeckung der 230
Raumgruppen. (German) [On the history of
the discovery of the 230 space groups] 235--246
John L. Heilbron The scattering of $\alpha$ and $\beta$
particles and Rutherford's atom . . . . 247--307
Michael Bernkopf A history of infinite matrices . . . . . 308--358
Jon V. Pepper Harriot's calculation of the meridional
parts as logarithmic tangents . . . . . 359--413
J. A. Lohne Der Eigenartige Einfluß Witelos auf die
Entwicklung der Dioptrik. (German) [The
strange influence of Witelos on the
development of the Dioptrik] . . . . . . 414--426
Stephen G. Brush A history of random processes. I.
Brownian Motion from Brown to Perrin . . 1--36
H. Krieger Über Stirlings Bestimmung von $\sum_{n =
0}^\infty (-1)^n / (2 n + 1)$ und
$\sum_{n = 0}^\infty 1 / n^2$. (German)
[On Stirling's Determination of $\sum_{n
= 0}^\infty (-1)^n / (2 n + 1)$ and
$\sum_{n = 0}^\infty 1 / n^2$] . . . . . 37--46
Per Stròmholm Fermat's methods of maxima and minima
and of tangents. A reconstruction . . . 47--69
B. L. van der Waerden The date of invention of Babylonian
planetary theory . . . . . . . . . . . . 70--78
H. Goetsch Die Algebra der Babylonier. (German)
[The algebra of the Babylonians] . . . . 79--153
David C. Lindberg The theory of Pinhole images from
antiquity to the thirteenth century . . 154--176
Ivo Schneider Der Mathematiker Abraham de Moivre
(1667--1754). (German) [The
mathematician Abraham de Moivre
(1667--1754)] . . . . . . . . . . . . . 177--317
Michael S. Mahoney Another look at Greek geometrical
analysis . . . . . . . . . . . . . . . . 318--348
Johannes Gerber Geschichte der Wellenmechanik. (German)
[History of wave mechanics] . . . . . . 349--416
W. E. Knowles Middleton Paolo del Buono on the elasticity of air 1--28
L. Rosenfeld Newton's views on aether and gravitation 29--37
Paul Forman The discovery of the diffraction of
X-rays by crystals; a critique of the
myths . . . . . . . . . . . . . . . . . 38--71
P. P. Ewald The myth of myths; comments on P.
Forman's paper on ``The discovery of the
diffraction of X-rays in crystals'' . . 72--81
Lam Lay Yong On the existing fragments of Yang Hui's
Hsiang Chieh Suan Fa . . . . . . . . . . 82--88
Curtis A. Wilson From Kepler's Laws, so-called, to
universal gravitation: Empirical factors 89--170
P. M. Heimann Maxwell and the modes of consistent
representation . . . . . . . . . . . . . 171--213
David C. Lindberg A reconsideration of Roger Bacon's
theory of pinhole images . . . . . . . . 214--223
Bruce S. Eastwood Metaphysical derivations of a law of
refraction: Damianos and Grosseteste . . 224--236
Nachum L. Rabinovitch Rabbi Levi Ben Gershon and the origins
of mathematical induction . . . . . . . 237--248
A. J. E. M. Smeur On the value equivalent to $\pi$ in
ancient mathematical texts. A new
interpretation . . . . . . . . . . . . . 249--270
Roshdi Rashed Optique Géometrique et Doctrine Optique
chez Ibn Al Haytham . . . . . . . . . . 271--298
David C. Lindberg The theory of Pinhole images in the
fourteenth century . . . . . . . . . . . 299--325
Dieter B. Herrmann Das Astronomentreffen im Jahre 1798 auf
dem Seeberg bei Gotha. (German) [The
astronomers' meeting in the year 1798 in
Seeberg bei Gotha] . . . . . . . . . . . 326--344
Piero Delsedime L'infini numérique dans l'Arénaire
d'Archim\`ede. (French) [Numerical
infinity in the Arénaire of Archimedes] 345--359
Walter Salvator Contro and
Johannes Viktor Feitzinger and
Rolf Hartmann and
Friedrich W. Ihloff and
Hans-Georg Märtl and
Friedemann Rex and
Matthias Schramm and
Horst Zehe Zur Kinematik der Planetenbewegung in
Copernicus' \booktitleCommentariolus
(German) [On the kinematics of planetary
motion in Copernicus'
\booktitleCommentariolus] . . . . . . . 360--371
I. Grattan-Guinness Bolzano, Cauchy and the ``new analysis''
of the early nineteenth century . . . . 372--400
Ian Mueller Homogeneity in Eudoxus's theory of
proportion . . . . . . . . . . . . . . . 1--6
Stanley Goldberg The Abraham theory of the electron: The
symbiosis of experiment and theory . . . 7--25
Fritz Kubli Louis de Broglie und die Entdeckung der
Materiewellen. (German) [Louis de
Broglie and the discovery of matter
waves] . . . . . . . . . . . . . . . . . 26--68
L. Rosenfeld Men and ideas in the history of atomic
theory . . . . . . . . . . . . . . . . . 69--90
J. J. Burckhardt Der Briefwechsel von E. S. von Fedorow
und A. Schoenflies, 1889--1908. (German)
[Letters between E. S. von Fedorow and
A. Schoenflies, 1889--1908] . . . . . . 91--141
Thomas Hawkins The origins of the theory of group
characters . . . . . . . . . . . . . . . 142--170
B. L. van der Waerden The foundation of algebraic geometry
from Severi to André Weil . . . . . . . . 171--180
Joseph W. Dauben The trigonometric background to Georg
Cantor's theory of sets . . . . . . . . 181--216
O. B. Sheynin Newton and the classical theory of
probability . . . . . . . . . . . . . . 217--243
O. B. Sheynin J. H. Lambert's work on probability . . 244--256
G. Rasche Zur Geschichte des Begriffes
``Isospin''. (German) [On the history of
the term ``Isospin''] . . . . . . . . . 257--276
James A. M. McHugh An historical survey of ordinary linear
differential equations with a large
parameter and turning points . . . . . . 277--324
H.-J. Waschkies Eine neue Hypothese zur Entdeckung der
inkommensurablen Größen durch die
Griechen. (German) [A new hypothesis on
the discovery of incommensurable sizes
by the Greeks] . . . . . . . . . . . . . 325--353
Ivo Schneider Descartes' Diskussion der Fermatschen
Extremwertmethode --- ein Stück
Ideengeschichte der Mathematik. (German)
[Descartes' Discussion of Fermat's
extreme value method --- a piece of the
conceptual history of mathematics] . . . 354--374
H. Freudenthal Did Cauchy plagiarize Bolzano? . . . . . 375--392
David R. Topper Commitment to mechanism: J. J. Thomson,
the early years . . . . . . . . . . . . 393--410
Michael Paiow Die Mathematische Staatsstelle. I.
(German) [The mathematical public
office. I] . . . . . . . . . . . . . . . 1--8
Edith Sylla Medieval quantifications of qualities:
The ``Merton School'' . . . . . . . . . 9--39
B. Melvin Kiernan The development of Galois theory from
Lagrange to Artin . . . . . . . . . . . 40--154
Elaine Koppelman The calculus of operations and the rise
of abstract algebra . . . . . . . . . . 155--242
Thomas Hawkins Hypercomplex numbers, Lie groups, and
the creation of group representation
theory . . . . . . . . . . . . . . . . . 243--287
Marcia Ascher and
Robert Ascher Numbers and relations from ancient
Andean quipus . . . . . . . . . . . . . 288--320
Claus Jensen The lunar theories of al-Baghdadi . . . 321--328
Piero E. Ariotti Aspects of the conception and
development of the pendulum in the
17$^{{\rm th}}$ century . . . . . . . . 329--410
Roshdi Rashed L'induction mathématique: al-Karaji,
as-Samaw'al. (French) [Mathematical
induction: al-Karaji, as-Samaw'al] . . . 1--21
Galina A. Shkolenok Geometrical constructions equivalent to
non-linear algebraic transformations of
the plane in Newton's early papers . . . 22--44
O. B. Sheynin On the mathematical treatment of
observations by L. Euler . . . . . . . . 45--56
A. F. Monna The concept of function in the 19$^{{\rm
th}}$ and 20$^{{\rm th}}$ centuries, in
particular with regard to the
discussions between Baire, Borel and
Lebesgue . . . . . . . . . . . . . . . . 57--84
J. J. Burckhardt Der Briefwechsel von E. S. von Fedorow
und F. Klein, 1893. (German) [Letters
between E. S. von Fedorow und F. Klein,
1893] . . . . . . . . . . . . . . . . . 85--93
Maja Bollinger Geschichtliche Entwicklung des
Homologiebegriffs. (German) [Historical
development of the terms of homology] 94--170
A. Seidenberg On the area of a semi-circle . . . . . . 171--211
William C. Waterhouse The discovery of the regular solids . . 212--221
Philip Lervig On the structure of Carnot's theory of
heat . . . . . . . . . . . . . . . . . . 222--239
B. L. van der Waerden Die Galois--Theorie von Heinrich Weber
bis Emil Artin. (German) [Galois Theory
from Heinrich Weber to Emil Artin] . . . 240--248
B. L. van der Waerden Ein Briefwechsel zwischen P. Finsler und
B. L. van der Waerden über die
Grundlegung der algebraischen Geometrie.
(German) [Letters between P. Finsler and
B. L. van der Waerden on the foundation
of algebraic geometry] . . . . . . . . . 249--256
E. J. Aiton Leibniz on motion in a resisting medium 257--274
O. B. Sheynin Finite random sums (a historical essay) 275--305
O. B. Sheynin R. J. Boscovich's work on probability 306--324
E. Neuenschwander Die ersten vier Bücher der Elemente
Euklids. (German) [The first four books
of Euclid's Elements] . . . . . . . . . 325--380
John Tucciarone The development of the theory of
summable divergent series from 1880 to
1925 . . . . . . . . . . . . . . . . . . 1--40
Pierre Dugac Eléments d'analyse de Karl Weierstrass.
(French) [Elements of analysis of Karl
Weierstrass] . . . . . . . . . . . . . . 41--176
Ulrich Hoyer Über die Rolle der
Stabilitätsbetrachtungen in der
Entwicklung der Bohrschen Atomtheorie.
(German) [On the role of stability
conditions in the development of Bohr's
Atomic Theory] . . . . . . . . . . . . . 177--206
Arthur I. Miller A study of Henri Poincaré's ``Sur la
Dynamique de l'Électron'' . . . . . . . . 207--328
W. E. Knowles Middleton Giovanni Alfonso Borelli and the
invention of the Heliostat . . . . . . . 329--341
David A. King Ibn Yunus' very useful tables for
reckoning time by the sun . . . . . . . 342--394
Zev Bechler Newton's search for a mechanistic model
of colour dispersion: a suggested
interpretation . . . . . . . . . . . . . 1--37
Stephen G. Brush The development of the kinetic theory of
gases . . . . . . . . . . . . . . . . . 38--96
O. B. Sheynin Mathematical treatment of astronomical
observations (a historical essay) . . . 97--126
E. Neuenschwander Beiträge zur Frühgeschichte der
griechischen Geometrie I. (German)
[Contributions to the early history of
Greek geometry I] . . . . . . . . . . . 127--133
Alan E. Shapiro Kinematic optics: a study of the wave
theory of light in the seventeenth
century . . . . . . . . . . . . . . . . 134--266
W. Schröder Das Wirken von Otto Jesse für die
Erforschung der Hochatmosphäre. (German)
[Works of Otto Jesse on the study of the
upper atmosphere] . . . . . . . . . . . 267--272
Karin Reich Die Geschichte der Differentialgeometrie
von Gauß bis Riemann (1828--1868).
(German) [The history of differential
geometry from Gauss to Riemann] . . . . 273--376
Stephen G. Brush The development of the kinetic theory of
gases . . . . . . . . . . . . . . . . . 1--88
Herbert E. Salzer Two letters from Einstein concerning his
distant parallelism field theory . . . . 89--96
O. B. Sheynin On the prehistory of the theory of
probability . . . . . . . . . . . . . . 97--141
Eberhard Knobloch Unbekannte Studien von Leibniz zur
Eliminations- und Explikationstheorie.
(German) [Unknown studies from Leibniz
on the elimination and explanation
theory] . . . . . . . . . . . . . . . . 142--173
Michael Paiow Die Mathematische Staatsstelle. II.
(German) [The mathematical public
office. II] . . . . . . . . . . . . . . 174--185
Hans-Werner Schütt Das Problem der Mischkristallisation von
Vitriolen vor der Entdeckung des
Isomorphismus. (German) [The problem of
the mixture crystallization of vitriol
before the discovery of isomorphicism] 186--198
Kristian Peder Moesgaard Thabit Ibn Qurra between Ptolemy and
Copernicus: an analysis of Thabit's
solar theory . . . . . . . . . . . . . . 199--216
Thomas Hawkins New light on Frobenius' creation of the
theory of group characters . . . . . . . 217--243
Roshd\=\i R\=ashed Résolution des équations numériques et
alg\`ebre: Saraf-al-din al-Tusi,
Vi\`ete. (French) [Resolution of
numerical equations and algebra:
\vSaraf-al-din al-T\=us\=\i, Vi\`ete] 244--290
R. J. Gillings The Recto of the Rhind mathematical
papyrus: how did the ancient Egyptian
scribe prepare it? . . . . . . . . . . . 291--298
John Pottage The mensuration of quadrilaterals and
the generation of Pythagorean triads: a
mathematical, heuristical and historical
study with special reference to
Brahmagupta's rules . . . . . . . . . . 299--354
Angus E. Taylor The differential: Nineteenth and
twentieth century developments . . . . . 355--383
Victor J. Frenkel Yakov (James) Il'ich Frenkel
(1894--1952): Materials for his
scientific biography . . . . . . . . . . 1--26
Vi\'svapriya Mukherji A history of the meson theory of nuclear
forces from 1935 to 1952 . . . . . . . . 27--102
Winifred L. Wisan The new science of motion: a study of
Galileo's De motu locali . . . . . . . . 103--306
Sabetai Unguru Pappus in the thirteenth century in the
Latin West . . . . . . . . . . . . . . . 307--324
Khalil Jaouiche Le livre du qaras\dt\=un de T\=abit ibn
Qurra: Étude sur l'origine de la notion
de travail et du calcul du moment
statique d'une barre homog\`ene.
(French) [The book of qaras\dt\=un of
T\=abit ibn Qurra: Study of the origin
of the notion of work and of the
calculation of the static moment of a
homogeneous bar] . . . . . . . . . . . . 325--347
Nachum L. Rabinovitch Early antecedents of error theory . . . 348--358
Ulrich Hoyer Über den Zusammenhang der Carnotschen
Theorie mit der Thermodynamik. (German)
[On the connection of Carnot theory with
thermodynamics] . . . . . . . . . . . . 359--375
H. J. M. Bos Differentials, higher-order
differentials and the derivative in the
Leibnizian calculus . . . . . . . . . . 1--90
E. Neuenschwander Die stereometrischen Bücher der Elemente
Euklids. (German) [The stereometric
books of Euclid's Elements] . . . . . . 91--125
G. J. Toomer Hipparchus on the distances of the sun
and moon . . . . . . . . . . . . . . . . 126--142
Ivo Schneider Clausius' erste Anwendung der
Wahrscheinlichkeitsrechnung im Rahmen
der atmosphärischen Lichtstreuung.
(German) [Clausius's first application
of probability calculations in the
context of atmospheric light scattering] 143--158
R. J. Gillings What is the relation between the EMLR
and the RMP recto? . . . . . . . . . . . 159--167
Sigalia Dostrovsky Early vibration theory: Physics and
music in the seventeenth century . . . . 169--218
Harold M. Edwards The background of Kummer's proof of
Fermat's last theorem for regular primes 219--236
Ivo Schneider Rudolph Clausius' Beitrag zur Einführung
wahrscheinlichkeitstheoretischer
Methoden in die Physik der Gase nach
1856. (German) [Rudolph Clausius's
contribution to the introduction of
probabilistic methods to the physics of
gases after 1856] . . . . . . . . . . . 237--261
A. Seidenberg Did Euclid's Elements, Book I, develop
geometry axiomatically? . . . . . . . . 263--295
Kenneth R. Manning The emergence of the Weierstrassian
approach to complex analysis . . . . . . 297--383
C. Truesdell Early kinetic theories of gases . . . . 1--66
Sabetai Unguru On the need to rewrite the history of
Greek mathematics . . . . . . . . . . . 67--114
Wilbur R. Knorr Archimedes and the measurement of the
circle: a new interpretation . . . . . . 115--140
Michael Detlefsen and
Douglas K. Erlandson and
J. Clark Heston and
Charles M. Young Computation with Roman numerals . . . . 141--148
Ulrich Hoyer Das Verhältnis der Carnotschen Theorie
zur klassischen Thermodynamik. (German)
[The relationship of Carnot's Theory to
classical thermodynamics] . . . . . . . 149--197
B. L. van der Waerden Defence of a ``Shocking'' point of view 199--210
Ronald Calinger Euler's ``Letters to a princess of
Germany'' as an expression of his mature
scientific outlook . . . . . . . . . . . 211--233
Ole Knudsen The Faraday effect and physical theory,
1845--1873 . . . . . . . . . . . . . . . 235--281
Walter S. Contro Von Pasch zu Hilbert. (German) [From
Pasch to Hilbert] . . . . . . . . . . . 283--295
Pierre Dugac Notes et documents sur la vie et
l'oeuvre de René Baire. (French) [Notes
and documents on the life and works of
René Baire] . . . . . . . . . . . . . . . 297--383
A. Seidenberg km, a widespread root for ten . . . . . 1--16
Robin Rider Hamburg The theory of equations in the 18th
century: The work of Joseph Lagrange . . 17--36
A. P. Youschkevitch The concept of function up to the middle
of the 19$^{{\rm th}}$ century . . . . . 37--85
J. L. Berggren Spurious theorems in Archimedes'
equilibrium of planes: Book I . . . . . 87--103
Gillian R. Evans The ``sub-Euclidean'' geometry of the
earlier middle ages, up to the
mid-twelfth century . . . . . . . . . . 105--118
J. van Brakel Some remarks on the prehistory of the
concept of statistical probability . . . 119--136
O. B. Sheynin P. S. Laplace's work on probability . . 137--187
Hans Freudenthal What is algebra and what has it been in
history? . . . . . . . . . . . . . . . . 189--200
Martin Kalmar Thomas Hariot's De Reflexione Corporum
Rotundorum: an early solution to the
problem of impact . . . . . . . . . . . 201--230
Crosbie W. Smith William Thomson and the creation of
thermodynamics: 1840--1855 . . . . . . . 231--288
I. G. Bachmakova and
E. I. Slavutin $\ll$Genesis triangulorum$\gg$ de
François Vi\`ete et ses recherches dans
l'analyse indéterminée. (French)
[$\ll$Genesis triangulorum$\gg$ of
François Vi\`ete and his research in
indeterminate analysis] . . . . . . . . 289--306
Arthur Schlissel The development of asymptotic solutions
of linear ordinary differential
equations, 1817--1920 . . . . . . . . . 307--378
O. B. Sheynin Laplace's theory of errors . . . . . . . 1--61
Mary Joan Collison The origins of the cubic and biquadratic
reciprocity laws . . . . . . . . . . . . 63--69
Lewis Pyenson Hermann Minkowski and Einstein's Special
Theory of Relativity . . . . . . . . . . 71--95
Bernard R. Goldstein Ibn Mu$^c$\=adh's treatise on twilight
and the height of the atmosphere . . . . 97--118
Thomas Hawkins Weierstrass and the theory of matrices 119--163
Paul A. Hanle The coming of age of Erwin Schrödinger:
His quantum statistics of ideal gases 165--192
H. Guggenheimer The Jordan curve theorem and an
unpublished manuscript by Max Dehn . . . 193--200
O. B. Sheynin Early history of the theory of
probability . . . . . . . . . . . . . . 201--259
Dale M. Johnson Prelude to dimension theory: The
geometrical investigations of Bernard
Bolzano . . . . . . . . . . . . . . . . 261--295
Jacques Sesiano Le Traitement des Équations Indéterminées
dans le Bad i fi'l-Hisab d'Abu Bakr
Al--Karaji. (French) [The treatment of
indeterminate equations in the Bad i
fi'l-Hisab d'Abu Bakr Al--Karaji] . . . 297--379
Harold M. Edwards Postscript to ``The background of
Kummer's proof \ldots'' . . . . . . . . 381--394
Michael Paiow Die Mathematische Staatsstelle. III.
(German) [The mathematical public
office. III] . . . . . . . . . . . . . . 1--26
Umberto Bottazzini Riemanns Einfluß auf E. Betti und F.
Casorati. (German) [Riemann's influence
on E. Betti and F. Casorati] . . . . . . 27--37
Umberto Bottazzini Le funzioni a periodi multipli nella
corrispondenza tra Hermite e Casorati.
(Italian) [Multiple-periodic functions
in the correspondence between Hermite
and Casorati] . . . . . . . . . . . . . 39--88
C. T. Rajagopal and
M. S. Rangachari On an untapped source of medieval
Keralese mathematics . . . . . . . . . . 89--102
J. J. Bikerman Capillarity before Laplace: Clairaut,
Segner, Monge, Young . . . . . . . . . . 103--122
Jack Barone and
Albert Novikoff A history of the axiomatic formulation
of probability from Borel to Kolmogorov:
Part I . . . . . . . . . . . . . . . . . 123--190
Roshd\=\i R\=ashed L'Extraction de la Racine $n^{\hbox{\rm
i{\`e}me}}$ et l'Invention des Fractions
Décimales (XI$^e$--XII$^e$ Si\`ecles).
(French) [The extraction of the n$^{{\rm
th}}$ root and the invention of decimal
fractions (11$^{{\rm th}}$--12$^{{\rm
th}}$ centuries)] . . . . . . . . . . . 191--243
O. B. Sheynin S. D. Poisson's work in probability . . 245--300
A. Seidenberg The origin of mathematics . . . . . . . 301--342
B. L. van der Waerden Die Postulate und Konstruktionen in der
frühgriechischen Geometrie. (German)
[Postulates and constructions in early
Greek geometry] . . . . . . . . . . . . 343--357
B. L. van der Waerden The Great Year in Greek, Persian and
Hindu astronomy . . . . . . . . . . . . 359--383
E. Neuenschwander Der Nachlaß von Casorati (1835--1890) in
Pavia. (German) [The deduction of
Casorati (1835--1890) in Pavia] . . . . 1--89
André Weil Who betrayed Euclid? (Extract from a
letter to the editor) . . . . . . . . . 91--93
R. C. Riddell The latitudes of Venus and Mercury in
the Almagest . . . . . . . . . . . . . . 95--111
A. G. Molland An examination of Bradwardine's geometry 113--175
Jerold Mathews William Rowan Hamilton's paper of 1837
on the arithmetization of analysis . . . 177--200
Robin Smith The mathematical origins of Aristotle's
syllogistic . . . . . . . . . . . . . . 201--209
Wilbur R. Knorr Archimedes and the Elements: Proposal
for a revised chronological ordering of
the Archimedean corpus . . . . . . . . . 211--290
John Earman and
Clark Glymour Einstein and Hilbert: Two months in the
history of General Relativity . . . . . 291--308
Glenn Shafer Non-additive probabilities in the work
of Bernoulli and Lambert . . . . . . . . 309--370
Ulrich Hoyer Über Waterstons mechanisches
Wärmeäquivalent. (German) [On Waterston's
mechanical equivalent of heat] . . . . . 371--381
William C. Waterhouse Note on a method of extracting roots in
as-Samaw'al . . . . . . . . . . . . . . 383--384
R. C. Riddell Eudoxan mathematics and the Eudoxan
spheres . . . . . . . . . . . . . . . . 1--19
O. B. Sheynin C. F. Gauss and the theory of errors . . 21--72
L. C. Arboleda Les Débuts de l'École Topologique
Soviétique: Notes sur les Lettres de Paul
S. Alexandroff et Paul S. Urysohn \`a
Maurice Fréchet. (French) [The beginnings
of the Soviet Topology School: Notes on
the letters of Paul S. Alexandroff et
Paul S. Urysohn to Maurice Fréchet] . . . 73--89
André Weil Riemann, Betti and the birth of topology 91--96
Dale M. Johnson The problem of the invariance of
dimension in the growth of modern
topology, part I . . . . . . . . . . . . 97--188
J. A. Lohne Essays on Thomas Harriot . . . . . . . . 189--312
Richard Silvestri Simple groups of finite order in the
nineteenth century . . . . . . . . . . . 313--356
C. Truesdell Absolute temperatures as a consequence
of Carnot's general axiom . . . . . . . 357--380
Lay Yong Lam Chu Shih-chieh's Suan-hsüeh ch'i-meng
(introduction to mathematical studies) 1--31
Daniel Garber and
Sandy Zabell On the emergence of probability . . . . 33--53
Lewis Pyenson Physics in the shadow of mathematics:
The Göttingen electron-theory seminar of
1905 . . . . . . . . . . . . . . . . . . 55--89
Alan E. Shapiro Newton's ``Achromatic'' dispersion law:
Theoretical background and experimental
evidence . . . . . . . . . . . . . . . . 91--128
Edwin Hewitt and
Robert E. Hewitt The Gibbs--Wilbraham phenomenon: an
episode in Fourier analysis . . . . . . 129--160
Jesper Lützen Heaviside's operational calculus and the
attempts to rigorise it . . . . . . . . 161--200
Silvio Maracchia Aristotele e l'incommensurabilit\`a.
(Italian) [Aristotle and
incommensurability] . . . . . . . . . . 201--228
Lajos Takács The problem of coincidences . . . . . . 229--244
Jed Z. Buchwald Optics and the theory of the punctiform
ether . . . . . . . . . . . . . . . . . 245--278
William C. Waterhouse The early proofs of Sylow's theorem . . 279--290
Noel M. Swerdlow Hipparchus's determination of the length
of the tropical year and the rate of
precession . . . . . . . . . . . . . . . 291--309
Jed Z. Buchwald Experimental investigations of double
refraction from Huygens to Malus . . . . 311--373
Jeremy J. Gray Olinde Rodrigues' paper of 1840 on
transformation groups . . . . . . . . . 375--385
André Weil A postscript to my article ``Riemann,
Betti and the Birth of Topology'' . . . 387--387
George Abraham The motion of the sun in the
Vasi\ds\dtha Siddh\=anta . . . . . . . . 1--3
D. H. Fowler Book II of Euclid's Elements and a
pre-Eudoxan theory of ratio . . . . . . 5--36
Massimo Galuzzi Il Problema delle Tangenti nella
``Géométrie'' di Descartes. (Italian) [The
problem of tangents in Descartes's
Geometry] . . . . . . . . . . . . . . . 37--51
Curtis A. Wilson Perturbations and solar tables from
Lacaille to Delambre: the rapprochement
of observation and theory, part I . . . 53--188
Curtis A. Wilson Perturbations and solar tables from
Lacaille to Delambre: the rapprochement
of observation and theory, part II . . . 189--304
Roshdi Rashed Ibn al-Haytham et le théor\`eme de
Wilson. (French) [Ibn al-Haytham and
Wilson's Theorem] . . . . . . . . . . . 305--321
O. B. Sheynin On the history of the statistical method
in biology . . . . . . . . . . . . . . . 323--371
B. Carazza and
G. P. Guidetti La Nascita dell'Equazione di
Klein--Gordon. (Italian) [The Origin of
the Klein--Gordon equation] . . . . . . 373--383
B. L. van der Waerden On pre-Babylonian mathematics I . . . . 1--25
B. L. van der Waerden On pre-Babylonian mathematics II . . . . 27--46
Ulrich Hoyer Von Boltzmann zu Planck. (German) [From
Boltzmann to Planck] . . . . . . . . . . 47--86
R. C. Riddell Parameter disposition in pre-Newtonian
planetary theories . . . . . . . . . . . 87--157
Bernard Rouxel L'OEuvre Mathématique d'Albert Ribaucour.
(French) [The mathematical work of
Albert Ribaucour] . . . . . . . . . . . 159--177
A. Seidenberg and
J. Casey The ritual origin of the balance . . . . 179--226
Michael Segre The role of experiment in Galileo's
physics . . . . . . . . . . . . . . . . 227--252
Raymond G. Ayoub Paolo Ruffini's contributions to the
quintic . . . . . . . . . . . . . . . . 253--277
Amy Dahan Les Travaux de Cauchy sur les
Substitutions. Étude de son approche du
concept de groupe. (French) [The works
of Cauchy on substitutions: Study of his
approach to the group concept] . . . . . 279--319
Harold M. Edwards The genesis of ideal theory . . . . . . 321--378
Wilbur Knorr Aristotle and incommensurability: Some
further reflections . . . . . . . . . . 1--9
Jacques Dutka The incomplete beta function --- a
historical profile . . . . . . . . . . . 11--29
Helge Kragh The genesis of Dirac's Relativistic
Theory of Electrons . . . . . . . . . . 31--67
D. H. Fowler Anthyphairetic ratio and Eudoxan
proportion . . . . . . . . . . . . . . . 69--72
A. Mark Smith Saving the appearances of the
appearances: The foundations of
classical geometrical optics . . . . . . 73--99
Gordon Fisher The infinite and infinitesimal
quantities of du Bois--Reymond and their
reception . . . . . . . . . . . . . . . 101--163
C. D. Brownson Euclid's optics and its compatibility
with linear perspective . . . . . . . . 165--194
Günter Bierhalter Boltzmanns mechanische Grundlegung des
zweiten Hauptsatzes der Wärmelehre aus
dem Jahre 1866. (German) [Boltzmann's
mechanical foundation of the second main
clause of the Theory of Heat from the
year 1866] . . . . . . . . . . . . . . . 195--205
Günter Bierhalter Clausius' mechanische Grundlegung des
zweiten Hauptsatzes der Wärmelehre aus
dem Jahre 1871. (German) [Clausius's
mechanical foundation of the second main
clause of the caloric theory from the
year 1871] . . . . . . . . . . . . . . . 207--220
E. Neuenschwander Über die Wechselwirkungen zwischen der
französischen Schule, Riemann und
Weierstraß. Eine Übersicht mit zwei
Quellenstudien. (German) [On the
reciprocal effects between the French
school, Riemann and Weierstrass. An
overview with two source studies] . . . 221--255
Edward Rosen In defense of Tycho Brahe . . . . . . . 257--265
Stephen Straker Kepler, Tycho, and the `Optical Part of
Astronomy': the genesis of Kepler's
theory of pinhole images . . . . . . . . 267--293
H. J. M. Bos On the representation of curves in
Descartes' Géométrie . . . . . . . . . . . 295--338
L. C. Arboleda Les Recherches de M. Fréchet, P.
Alexandrov, W. Sierpinski et K.
Kuratowski sur la Théorie des Types de
Dimensions et les Débuts de la Topologie
Générale. (French) [The research of M.
Fréchet, P. Alexandrov, W. Sierpinski and
K. Kuratowski on the Theory of Types of
Dimensions and the beginnings of General
Topology] . . . . . . . . . . . . . . . 339--388
Frans Bruin Atmospheric refraction and extinction
near the horizon . . . . . . . . . . . . 1--17
M. Norton Wise The flow analogy to electricity and
magnetism, part I: William Thomson's
reformulation of action at a distance 19--70
Günter Bierhalter Zu Hermann von Helmholtzens mechanischer
Grundlegung der Wärmelehre aus dem Jahre
1884. (German) [On Hermann von
Helmholtz's of mechanical foundation of
the caloric theory from the year 1884] 71--84
Dale M. Johnson The problem of the invariance of
dimension in the growth of modern
topology, part II . . . . . . . . . . . 85--266
Anonymous Errata for part I . . . . . . . . . . . 267--267
A. Seidenberg The ritual origin of the circle and
square . . . . . . . . . . . . . . . . . 269--327
Giuseppina Fenaroli and
Ubaldo Garibaldi and
M. Antonietta Penco Giochi, Scommesse sulla Vita, Tabelle di
Mortalit\`a: Nascita del Calcolo
Probabilistico, Statistica e Teoria
delle Popolazioni. (Italian) [Giochi,
bets on life, mortality tables: the
birth of the calculus of probability,
statistics, and population theory] . . . 329--341
Michael A. B. Deakin The development of the Laplace
transform, 1737--1937 I. Euler to
Spitzer, 1737--1880 . . . . . . . . . . 343--390
Spyros Sakellariadis Descartes' experimental proof of the
infinite velocity of light and Huygens'
rejoinder . . . . . . . . . . . . . . . 1--12
Reinhard Siegmund-Schultze Die Anfänge der Funktionalanalysis und
ihr Platz im Umwälzungsprozeß der
Mathematik um 1900. (German) [The
beginnings of functional analysis and
its place during the circulation process
of mathematics around 1900] . . . . . . 13--71
R. L. Wilder The mathematical work of R. L. Moore:
Its background, nature and influence . . 73--97
B. L. van der Waerden The motion of Venus, Mercury and the Sun
in early Greek astronomy . . . . . . . . 99--113
Jacques Dutka Wallis's product, Brouncker's continued
fraction, and Leibniz's series . . . . . 115--126
Thomas Hawkins Wilhelm Killing and the structure of Lie
algebras . . . . . . . . . . . . . . . . 127--192
D. H. Fowler Book II of Euclid's Elements and a
pre-Eudoxan theory of ratio. Part 2:
Sides and diameters . . . . . . . . . . 193--209
Dennis Rawlins The Eratosthenes--Strabo Nile Map. Is it
the earliest surviving instance of
spherical cartography? Did it supply the
5000 stades arc for Eratosthenes'
experiment? . . . . . . . . . . . . . . 211--219
A. Mark Smith Ptolemy's search for a Law of
Refraction: a case-study in the
classical methodology of ``saving the
appearances'' and its limitations . . . 221--240
O. B. Sheynin On the history of medical statistics . . 241--286
George Abraham Algebraic formulae for the Moon, Saturn
and Jupiter in the \em
Pancasiddh\=antik\=a . . . . . . . . . . 287--297
A. I. Sabra Ibn al-Haytham's lemmas for solving
``Alhazen's problem'' . . . . . . . . . 299--324
S. S. Demidov The study of partial differential
equations of the first order in the
18$^{{\rm th}}$ and 19$^{{\rm th}}$
centuries . . . . . . . . . . . . . . . 325--350
Michael A. B. Deakin The development of the Laplace
Transform, 1737--1937 II. Poincaré to
Doetsch, 1880--1937 . . . . . . . . . . 351--381
H. Gericke Zur Vorgeschichte und Entwicklung des
Krümmungsbegriffs. (German) [On the
prehistory and development of the
curvature term] . . . . . . . . . . . . 1--21
A. I. Dale Bayes or Laplace? An examination of the
origin and early applications of Bayes'
Theorem . . . . . . . . . . . . . . . . 23--47
Harold Edwards and
Olaf Neumann and
Walter Purkert Dedekinds ``Bunte Bemerkungen'' zu
Kroneckers ``Grundzüge''. (German)
[Dedekind's ``multicolored remark'' on
Kronecker's ``Outlines''] . . . . . . . 49--85
M. E. Paiow Die Mathematische Theaetetsstelle.
(German) [The mathematical Theaetet
position] . . . . . . . . . . . . . . . 87--99
Vincenzo Vita Il punto nella terminologia matematica
greca. (Italian) [The point in Greek
mathematical terminology] . . . . . . . 101--114
G. G. Bilodeau The origin and early development of
non-analytic infinitely differentiable
functions . . . . . . . . . . . . . . . 115--135
Lewis Pyenson Relativity in late Wilhelmian Germany:
The appeal to a preestablished harmony
between mathematics and physics . . . . 137--155
J. Eisenstaedt Histoire et Singularités de la Solution
de Schwarzschild (1915--1923). (French)
[History and singularities of
Schwarzschild's solution (1915--1923)] 157--198
Günter Bierhalter Das Virialtheorem in seiner Beziehung zu
den mechanischen Grundlegungen des
zweiten Hauptsatzes der Wärmelehre.
(German) [The Virial Theorem in its
relationship with mechanical foundations
of the second main clause of caloric
theory] . . . . . . . . . . . . . . . . 199--211
E. Scholz Riemanns frühe Notizen zum
Mannigfaltigkeitsbegriff und zu den
Grundlagen der Geometrie. (German)
[Riemann's early notes on the diversity
term and on the basis of geometry] . . . 213--232
Angus E. Taylor A study of Maurice Fréchet: I. His early
work on point set theory and the theory
of functionals . . . . . . . . . . . . . 233--295
Luigi Maier\`u Il Quinto Postulato Euclideo da C.
Clavio [1589] a G. Saccheri [1733] . . . 297--334
Winfried Scharlau Unveröffentlichte algebraische Arbeiten
Richard Dedekinds aus seiner Göttinger
Zeit 1855--1858. (German) [Unpublished
algebraic work of Richard Dedekind from
his Göttingen years 1855--1858] . . . . . 335--367
Wilfried Schröder Emil Wiechert und seine Bedeutung für die
Entwicklung der Geophysik zur exakten
Wissenschaft. (German) [Emil Wiechert
and his significance for the development
of geophysics as an exact science] . . . 369--389
Wilbur Knorr A correction to my article ``Aristotle
and Incommensurability'' . . . . . . . . 391--392
Horst Zehe Die Gravitationstheorie des Nicolas
Fatio de Duillier. (German) [The
Gravitational theory of Nicolas Fatio de
Duillier] . . . . . . . . . . . . . . . 1--23
Günter Bierhalter Zu Szilys Versuch einer mechanischen
Grundlegung des zweiten Hauptsatzes der
Thermodynamik. (German) [On Szilys'
attempt at a mechanical foundation of
the second main clause of
thermodynamics] . . . . . . . . . . . . 25--35
Hél\`ene Gispert Sur les fondements de l'analyse en
France. (French) [On the basis of
analysis in France] . . . . . . . . . . 37--106
R. Rashed Nombres amiables, parties aliquotes et
nombres figurés aux XIII$^{\rm
\hbox{{\`e}m}}$ et XIV$^{\rm
\hbox{{\`e}m}}$ si\`ecles. (French)
[Friendly numbers, aliquot parts and
figured numbers in the 13$^{{\rm th}}$
and 14$^{{\rm th}}$ centuries] . . . . . 107--147
Stella Mills The controversy between Colin MacLaurin
and George Campbell over complex roots,
1728--1729 . . . . . . . . . . . . . . . 149--164
N. L. Biggs De Morgan on map colouring and the
separation axiom . . . . . . . . . . . . 165--170
O. B. Sheynin Corrections and short notes on my papers 171--180
Craig Fraser J. L. Lagrange's early contributions to
the principles and methods of mechanics 197--241
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). I. Physics in
France after the revolution . . . . . . 243--266
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). II. The Laplacian
program . . . . . . . . . . . . . . . . 267--287
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). III. Poisson:
mathematician or physicist? . . . . . . 289--297
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). IV. Disquiet with
respect to Fourier's treatment of heat 299--320
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). V. Fresnel and the
circular screen . . . . . . . . . . . . 321--342
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). VI. Elasticity: the
crystallization of Poisson's views on
the nature of matter . . . . . . . . . . 343--367
S. S. Demidov On the history of the theory of linear
differential equations . . . . . . . . . 369--387
Alexander Jones The development and transmission of
248-day schemes for lunar motion in
ancient astronomy . . . . . . . . . . . 1--36
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). VII. Mécanique
physique . . . . . . . . . . . . . . . . 37--51
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). VIII. Applications
of the mécanique physique . . . . . . . . 53--72
D. H. Arnold The mécanique physique of Siméon Dénis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). IX. Poisson's
closing synthesis: traité de physique
mathématique . . . . . . . . . . . . . . 73--94
Günter Bierhalter Die v. Helmholtzschen
Monozykel--Analogien zur Thermodynamik
und das Clausiussche
Disgregationskonzept. (German) [The von
Helmholtz Monocycle --- Analogies to
thermodynamics and the Clausius
disgregation concept] . . . . . . . . . 95--100
B. L. van der Waerden Greek astronomical calendars I. The
parapegma of Euctemon . . . . . . . . . 101--114
B. L. van der Waerden Greek astronomical calendars II.
Callippos and his calendar . . . . . . . 115--124
B. L. van der Waerden Greek astronomical calendars III. The
calendar of Dionysios . . . . . . . . . 125--130
Raymond Ayoub The lemniscate and Fagnano's
contributions to elliptic integrals . . 131--149
O. B. Sheynin On the history of the statistical method
in astronomy . . . . . . . . . . . . . . 151--199
R. Nadal and
J.-P. Brunet Le ``Commentaire'' d'Hipparque I. La
sph\`ere mobile . . . . . . . . . . . . 201--236
Lay-Yong Lam and
Tian-Se Ang Li Ye and his Yi Gu Yan Duan (old
mathematics in expanded sections) . . . 237--266
Hourya Benis-Sinaceur De D. Hilbert \`a E. Artin: Les
différents aspects du dix-septi\`eme
probl\`eme et les filiations
conceptuelles de la théorie des corps
réels clos. (French) [From D. Hilbert to
E. Artin: different aspects of the
17$^{{\rm th}}$ problem and the
conceptual relations of the theory of
closed real bodies] . . . . . . . . . . 267--286
D. H. Arnold The mécanique physique of Siméon Denis
Poisson: The evolution and isolation in
France of his approach to physical
theory (1800--1840). X. Some perspective
on Poisson's contributions to the
emergence of mathematical physics . . . 287--307
Jesper Lützen Sturm and Liouville's work on ordinary
linear differential equations. The
emergence of Sturm--Liouville theory . . 309--376
Karsten Johnsen Der ``Untergruppensatz'' von P. Hoyer
--- 25 Jahre vor O. Schreier. (German)
[The subgroup theorem of P. Hoher --- 25
years before O. Schreier] . . . . . . . 377--383
George Abraham The motion of Mars in Egyptian planetary
tables . . . . . . . . . . . . . . . . . 1--6
Aldo Brigaglia and
Pietro Nastasi Le soluzioni di Girolamo Saccheri e
Giovanni Ceva al `Geometram quaero' di
Ruggero Ventimiglia: Geometria
proiettiva italiana nel tardo seicento.
(Italian) [The solutions of Girolamo
Saccheri and Giovanni Ceva for
`Geometram quaero' by Ruggero
Ventimiglia: Italian projective geometry
in the late sixth century] . . . . . . . 7--44
M. Christine King and
Keith J. Laidler Chemical kinetics and the radiation
hypothesis . . . . . . . . . . . . . . . 45--86
Lay Yong Lam and
Kang Sheng Shen Right-angled triangles in ancient China 87--112
Jesper Lützen Joseph Liouville's work on the figures
of equilibrium of a rotating mass of
fluid . . . . . . . . . . . . . . . . . 113--166
Wilfried Schröder Hendrik Antoon Lorentz und Emil Wiechert
(Briefwechsel und Verhältnis der beiden
Physiker). (German) [Hendrik Antoon
Lorentz and Emil Wiechert (exchange of
letters and the relationship of the two
physicists)] . . . . . . . . . . . . . . 167--187
George Abraham Length of the year in pre-epicyclic
planetary theory . . . . . . . . . . . . 189--195
Jan P. Hogendijk Greek and Arabic constructions of the
regular heptagon . . . . . . . . . . . . 197--330
H. J. M. Bos Arguments on motivation in the rise and
decline of a mathematical theory; the
``construction of equations'',
1637-ca.1750 . . . . . . . . . . . . . . 331--380
A. Seidenberg ''On ancient mathematical terminology'' 1--13
Jacques Dutka The early history of the hypergeometric
function . . . . . . . . . . . . . . . . 15--34
Dieter Ullmann Chladni und die Entwicklung der
experimentellen Akustik um 1800.
(German) [Chladni and the development of
experimental acoustics in 1800] . . . . 35--52
O. B. Sheynin On the history of the statistical method
in meteorology . . . . . . . . . . . . . 53--95
Angelo Guerraggio Le Memorie di Volterra e Peano sul
Movimento dei Poli. (Italian) [The
memoirs of Volterra and Peano on the
movement of the poles] . . . . . . . . . 97--126
J. D. Gray The shaping of the Riesz representation
theorem: a chapter in the history of
analysis . . . . . . . . . . . . . . . . 127--187
J. V. Field A Lutheran Astrologer: Johannes Kepler 189--272
Ernst Breitenberger Gauss's geodesy and the Axiom of
Parallels . . . . . . . . . . . . . . . 273--289
Kirsti Andersen Cavalieri's method of indivisibles . . . 291--367
J. Brakel The possible influence of the discovery
of radio-active decay on the concept of
physical probability . . . . . . . . . . 369--385
Wolfgang Kaunzner Über eine frühe lateinische Bearbeitung
der Algebra al-Khw\=arizm\=\is in MS
Lyell 52 der Bodleian Library Oxford.
(German) [On early Latin treatment of
algebra: Al-Khw\=arizm\=\i in MS Lyell
52 the Bodleian Library Oxford] . . . . 1--16
Günter Bierhalter Die mechanischen Entropie- und
Disgregationskonzepte aus dem 19.
Jahrhundert: ihre Grundlagen, ihr
Versagen und ihr Entstehungshintergrund.
(German) [Mechanical entropy and
disgregations concepts from the
19$^{{\rm th}}$ Century: their basis,
failure and developing background] . . . 17--41
Keith J. Laidler Chemical kinetics and the origins of
physical chemistry . . . . . . . . . . . 43--75
Wilfried Schröder Arnold Sommerfeld und Emil Wiechert.
(German) [Arnold Sommerfeld and Emil
Wiechert] . . . . . . . . . . . . . . . 77--93
B. L. van der Waerden Greek astronomical calendars IV. The
parapegma of the Egyptians and their
``perpetual tables'' . . . . . . . . . . 95--104
Jacques Sesiano The appearance of negative solutions in
mediaeval mathematics . . . . . . . . . 105--150
Craig Fraser J. L. Lagrange's changing approach to
the foundations of the calculus of
variations . . . . . . . . . . . . . . . 151--191
G. J. Toomer Galen on the astronomers and astrologers 193--206
C. A. Gearhart Epicycles, eccentrics, and ellipses: The
predictive capabilities of Copernican
planetary models . . . . . . . . . . . . 207--222
Karen Hunger Parshall Joseph H. M. Wedderburn and the
structure theory of algebras . . . . . . 223--349
Jacques Dutka On the problem of random flights . . . . 351--375
Kostas Gavroglu and
George Goudaroulis From the history of low temperature
physics: Prejudicial attitudes that
hindered the initial development of
superconductivity theory . . . . . . . . 377--383
Stella Mills The independent derivations by Leonhard
Euler and Colin MacLaurin of the
Euler--MacLaurin Summation Formula . . . 1--13
Curtis Wilson The great inequality of Jupiter and
Saturn: from Kepler to Laplace . . . . . 15--290
Benno Artmann Über voreuklidische ``Elemente'', deren
Autor Proportionen vermied. (German) [On
pre-Euclidean Elements, whose author
proportions ????] . . . . . . . . . . . 291--306
Michael A. B. Deakin Euler's invention of integral transforms 307--319
Victor J. Katz Differential forms --- Cartan to de Rham 321--336
Mara Beller Pascual Jordan's influence on the
discovery of Heisenberg's indeterminacy
principle . . . . . . . . . . . . . . . 337--349
O. B. Sheynin On the history of the statistical method
in physics . . . . . . . . . . . . . . . 351--382
L. Feigenbaum Brook Taylor and the method of
increments . . . . . . . . . . . . . . . 1--140
William Boos ``The True'' in Gottlob Frege's ``Über
die Grundlagen der Geometrie'' [``On the
foundations of geometry''] . . . . . . . 141--192
Jerold Mathews A neolithic oral tradition for the van
der Waerden/Seidenberg origin of
mathematics . . . . . . . . . . . . . . 193--220
George Abraham Theories for the motion of the Sun in
the Pancasiddh\=antik\=a . . . . . . . . 221--230
B. L. van der Waerden Greek astronomical calendars V. The
motion of the Sun in the parapegma of
Geminos and in the Romaka--Siddh\=anta 231--239
Franco Palladino Individuo e classe: l'origine e il
significato di $\in$ nel simbolismo di
Peano. (Italian) [Individual and class:
the origin and meaning of $\in$ in
Peano's notation] . . . . . . . . . . . 241--256
Hourya Benis-Sinaceur La théorie d'Artin et Schreier et
l'analyse non-standard d'Abraham
Robinson . . . . . . . . . . . . . . . . 257--264
Michael T. Heideman and
Don H. Johnson and
C. Sidney Burrus Gauss and the history of the Fast
Fourier Transform . . . . . . . . . . . 265--277
Angus E. Taylor A study of Maurice Fréchet: II. Mainly
about his work on general topology,
1909--1928 . . . . . . . . . . . . . . . 279--380
Pierre Kerszberg Le principe de Weyl et l'invention d'une
cosmologie non-statique. (French)
[Weyl's Principle and the invention of a
nonstatic cosmology] . . . . . . . . . . 1--89
C. T. Rajagopal and
M. S. Rangachari On medieval Kerala mathematics . . . . . 91--99
A. I. Dale A newly-discovered result of Thomas
Bayes . . . . . . . . . . . . . . . . . 101--113
Jean Eisenstaedt La relativité générale \`a l'étiage:
1925--1955. (French) [General Relativity
at low-water level: 1925--1955] . . . . 115--185
Jan P. Hogendijk Arabic traces of lost works of
Apollonius . . . . . . . . . . . . . . . 187--253
Richard S. Westfall Newton and the acceleration of gravity 255--272
B. Carazza and
G. P. Guidetti The Casimir electron model . . . . . . . 273--279
Wilbur R. Knorr Archimedes' dimension of the circle: a
view of the genesis of the extant text 281--324
George Abraham The motion of the Moon in the Romaka
Siddh\=anta . . . . . . . . . . . . . . 325--328
Michael Toepell On the origins of David Hilbert's
``Grundlagen der Geometrie''
[Foundations of Geometry] . . . . . . . 329--344
Keith J. Laidler The development of theories of catalysis 345--374
Lay-Yong Lam and
Kangsheng Shen Mathematical problems on surveying in
ancient China . . . . . . . . . . . . . 1--20
Jacques Dutka On square roots and their
representations . . . . . . . . . . . . 21--39
F. Smithies Cauchy's conception of rigour in
analysis . . . . . . . . . . . . . . . . 41--61
Winfried Scharlau Zur Entstehung der Algebraischen
Zahlentheorie --- ein Bericht eines
Augenzeugen. (German) [On the emergence
of the algebraic number theory ---- a
report of an eyewitness] . . . . . . . . 63--74
Mansel Davies Charles Rugeley Bury and his
contributions to physical chemistry . . 75--90
J. Dhombres Quelques aspects de l'histoire des
équations fonctionnelles liés \`a
l'évolution du concept de fonction.
(French) [Some aspects of the history of
functional equations connected to the
concept of a function] . . . . . . . . . 91--181
Lay Yong Lam The conceptual origins of our numeral
system and the symbolic form of algebra 183--195
Edmund Hlawka and
Christa Binder Über die Entwicklung der Theorie der
gleichverteilung in den Jahren 1909 bis
1916. (German) [On the development of
the theory of uniform distributions in
the years 1909 to 1916] . . . . . . . . 197--249
R. Siegmund-Schultze Der Beweis des
Hilbert--Schmidt-Theorems. (German) [The
Proof of the Hilbert--Schmidt Theorem] 251--270
Hans Joachim Haubold and
Eiichi Yasui Jun Ishiwaras Text über Albert Einsteins
Gastvortrag an der Universität zu Kyoto
am 14. Dezember 1922. (German) [Jun
Ishiwara's text of Albert Einstein's
guest lecture at Kyoto University on 14
December 1922] . . . . . . . . . . . . . 271--279
O. B. Sheynin A. Quetelet as a statistician . . . . . 281--325
Martin Carrier Die begriffliche Entwicklung der
Affinitätstheorie im 18. Jahrhundert
Newtons Traum- und was daraus wurde.
(German) [The conceptual development of
affinity theory in 18$^{{\rm th}}$
Century: Newton's dream and what it
became] . . . . . . . . . . . . . . . . 327--389
Svetlana S. Petrova Heaviside and the development of the
symbolic calculus . . . . . . . . . . . 1--23
Angus E. Taylor A study of Maurice Fréchet: III. Fréchet
as analyst, 1909--1930 . . . . . . . . . 25--76
Günter Bierhalter Wie erfolgreich waren die im 19.
Jahrhundert betriebenen Versuche einer
mechanischen Grundlegung des zweiten
Hauptsatzes der Thermodynamik?. (German)
[Were 19$^{{\rm th}}$ century attempts
at a mechanical foundation of the second
main clause of thermodynamics
successful?] . . . . . . . . . . . . . . 77--99
Hans Niels Jahnke Motive und Probleme der Arithmetisierung
der Mathematik in der ersten Hälfte des
19. Jahrhunderts --- Cauchys Analysis in
der Sicht des Mathematikers Martin Ohm.
(German) [Motives and problems of the
arithmetisation of mathematics in the
first half of the 19$^{{\rm th}}$
century --- Cauchy's analysis in the
view of the mathematician Martin Ohm] 101--182
Theodore Christidis and
Yorgos Goudaroulis and
Maria Mikou The heuristic role of mathematics in the
initial development of superconductivity
theory . . . . . . . . . . . . . . . . . 183--191
Klaus Volkert Die Geschichte der pathologischen
Funktionen --- Ein Beitrag zur
Entstehung der mathematischen
Methodologie. (German) [The history of
pathological functions --- a
contribution for the emergence of the
mathematical methodology] . . . . . . . 193--232
Curtis Wilson D'Alembert versus Euler on the
precession of the equinoxes and the
mechanics of rigid bodies . . . . . . . 233--273
J. Eisenstaedt Trajectoires et Impasses de la Solution
de Schwarzschild. (French) [Trajectories
and blocks in Schwarzschild's solution] 275--357
Edward Gulbekian The origin and value of the stadion unit
used by Eratosthenes in the third
century B.C. . . . . . . . . . . . . . . 359--363
Lay Yong Lam Linkages: Exploring the similarities
between the Chinese rod numeral system
and our numeral system . . . . . . . . . 365--392
B. L. van der Waerden On the Romaka--Siddh\=anta . . . . . . . 1--11
B. L. van der Waerden The ``day of Brahman'' in the work of
\=Aryabhata . . . . . . . . . . . . . . 13--22
B. L. van der Waerden Reconstruction of a Greek table of
chords . . . . . . . . . . . . . . . . . 23--38
Catherine Jami Une histoire chinoise du ``nombre
$\pi$''. (French) [A Chinese history of
the ``number $\pi$''] . . . . . . . . . 39--50
Eliyahu Beller Ancient Jewish mathematical astronomy 51--66
A. J. Kox Hendrik Antoon Lorentz, the ether, and
the General Theory of Relativity . . . . 67--78
S. Bergia and
L. Navarro Recurrences and continuity in Einstein's
research on radiation between 1905 and
1916 . . . . . . . . . . . . . . . . . . 79--99
Lay Yong Lam A Chinese genesis: Rewriting the history
of our numeral system . . . . . . . . . 101--108
A. Hald On de Moivre's solutions of the problem
of duration of play 1708--1718 . . . . . 109--134
Edoardo Proverbio R. G. Boscovich's determination of
instrumental errors in observation . . . 135--152
Karen Hunger Parshall America's first school of mathematical
research: James Joseph Sylvester at The
Johns Hopkins University 1876--1883 . . 153--196
Keith J. Laidler Chemical kinetics and the Oxford College
Laboratories . . . . . . . . . . . . . . 197--283
Kang Sheng Shen Historical development of the Chinese
remainder theorem . . . . . . . . . . . 285--305
Jens Hòyrup Jordanus de Nemore, 13$^{{\rm th}}$
century mathematical innovator: an essay
on intellectual context, achievement,
and failure . . . . . . . . . . . . . . 307--363
Y. Maeyama The Keplerian and mean motions. A
geometrical study . . . . . . . . . . . 365--383
A. J. Franco de Oliveira Anastácio da Cunha and the concept of
convergent series . . . . . . . . . . . 1--12
Jacques Dutka On the St. Petersburg paradox . . . . . 13--39
Thomas Hawkins Hesses's principle of transfer and the
representation of Lie algebras . . . . . 41--73
Marcia Ascher Graphs in cultures (II): a study in
ethnomathematics . . . . . . . . . . . . 75--95
A. Seidenberg On the volume of a sphere . . . . . . . 97--119
Benno Artmann Über voreuklidische `Elemente der
Raumgeometrie' aus der Schule des
Eudoxos. (German) [On pre-Euclidean
`Elements of Spatial Geometry' in the
School of Eudoxos] . . . . . . . . . . . 121--135
P. L. Butzer and
M. Schmidt and
E. L. Stark Observations on the history of central
B-splines . . . . . . . . . . . . . . . 137--156
Wilfried Schröder Albert Einstein in seinen Beziehungen zu
Mitgliedern der Gesellschaft der
Wissenschaften in Göttingen. (German)
[Albert Einstein and his relations with
members of the Göttingen Scientific
Society] . . . . . . . . . . . . . . . . 157--171
S. L. Zabell Buffon, Price, and Laplace: Scientific
attribution in the 18th century . . . . 173--181
Michael A. B. Deakin Nineteenth century anticipations of
modern theory of dynamical systems . . . 183--194
Detlef Laugwitz Definite values of infinite sums:
Aspects of the foundations of
infinitesimal analysis around 1820 . . . 195--245
József Illy Einstein teaches Lorentz, Lorentz
teaches Einstein: their collaboration in
General Relativity, 1913--1920 . . . . . 247--289
David Kushner The controversy surrounding the secular
acceleration of the Moon's mean motion 291--316
Craig G. Fraser The calculus as algebraic analysis: Some
observations on mathematical analysis in
the 18$^{{\rm th}}$ century . . . . . . 317--335
O. B. Sheynin A. A. Markov's work on probability . . . 337--377
Lay Yong Lam Correction for the article: ``A Chinese
genesis: rewriting the history of our
numeral system'' . . . . . . . . . . . . 379--379
J. L. Mancha Egidius of Baisiu's theory of pinhole
images . . . . . . . . . . . . . . . . . 1--35
Klaus Volkert Zur Differenzierbarkeit stetiger
Funktionen --- Amp\`ere's Beweis und
seine Folgen. (German) [On the
differentiability of constant functions
--- Amp\`ere's proof and its
consequences] . . . . . . . . . . . . . 37--112
C. Truesdell Maria Gaetana Agnesi . . . . . . . . . . 113--142
Peter Ullrich Weierstraß' Vorlesung zur ``Einleitung in
die Theorie der analytischen
Funktionen''. (German) [Weierstrass's
Lectures on ``Introduction to the theory
of analytical functions] . . . . . . . . 143--172
Alexander Bach Eine Fehlinterpretation mit Folgen:
Albert Einstein und der Welle--Teilchen
Dualismus. (German) [A misinterpretation
with consequences: Albert Einstein and
the wave--particle dualism] . . . . . . 173--206
L. Maierú Le ``Nonnullae Propositiones de
Parabola'' di Marino Ghetaldi. (Italian)
[The nonnull propositions of the
parabola of Marino Ghetaldi] . . . . . . 207--245
Paola Gario Resolution of singularities of surfaces
by P. Del Pezzo. A mathematical
controversy with C. Segre . . . . . . . 247--274
Karin Reich Das Eindringen des Vektorkalküls in die
Differentialgeometrie. (German) [The
penetration of vector calculus in
differential geometry] . . . . . . . . . 275--303
R. Nadal and
J.-P. Brunet Le ``Commentaire'' d'Hipparque II.
Position de 78 étoiles. (French)
[Hipparchus' Commentary II. Position of
78 stars] . . . . . . . . . . . . . . . 305--354
Lars Gårding History of the mathematics of double
refraction . . . . . . . . . . . . . . . 355--385
O. B. Sheynin Errata for the contribution ``A. A.
Markov's work on probability'' . . . . . 387--387
Alexander Bach Boltzmann's probability distribution of
1877 . . . . . . . . . . . . . . . . . . 1--40
William C. Waterhouse Gauss's first argument for least squares 41--52
Y. Maeyama Kepler's hypothesis vicaria . . . . . . 53--92
Ulla Koch and
Joachim Schaper and
Susanne Fischer and
Michael Wegelin Eine neue Interpretation der
Kudurru--Symbole . . . . . . . . . . . . 93--114
Luigi Maier\`u ''\ldots in Christophorum Clavium de
Contactu Linearum Apologia'':
Considerazioni attorno alla polemica fra
Peletier e Clavio circa l'angolo di
contatto (1579--1589). (Italian)
[``\ldots in Christophorum Clavium de
Contactu Linearum Apologia'':
Considerations around the controversy
between Peletier and Clavius about the
contact angle (1579--1589)] . . . . . . 115--137
A. Hald Evaluations of the beta probability
integral by Bayes and Price . . . . . . 139--156
J. H. Sampson Sophie Germain and the theory of numbers 157--161
Harold M. Edwards A note on Galois theory . . . . . . . . 163--169
Jacques Dutka Robert Adrain and the method of least
squares . . . . . . . . . . . . . . . . 171--184
Mansel Davies C. R. Bury, L. Vegard, and the
electronic interpretation of the
periodic table. A note . . . . . . . . . 185--187
D. H. Fowler An approximation technique, and its use
by Wallis and Taylor . . . . . . . . . . 189--233
J. Sesiano Two problems of number theory in Islamic
times . . . . . . . . . . . . . . . . . 235--238
Tian Yu Cao The reggeization program 1962--1982:
Attempts at reconciling quantum field
theory with S-matrix theory . . . . . . 239--283
Ian Tweddle Some results on conic sections in the
correspondence between Colin MacLaurin
and Robert Simson . . . . . . . . . . . 285--309
Detlef D. Spalt Die mathematischen und philosophischen
Grundlagen des Weierstraßschen
Zahlbegriffs zwischen Bolzano und
Cantor. (German) [The mathematical and
philosophical basis of the Weierstrass
number concept between Bolzano and
Cantor] . . . . . . . . . . . . . . . . 311--362
Giulio Maltese The rejection of the Ricci tensor in
Einstein's first tensorial Theory of
Gravitation . . . . . . . . . . . . . . 363--381
Ian Tweddle John Machin and Robert Simson on
inverse-tangent series for $\pi$ . . . . 1--14
Detlef D. Spalt Bolzanos Lehre von den meßbaren Zahlen
1830--1989. (German) [Bolzano's theory
of measurable numbers 1830--1989] . . . 15--70
Jan von Plato Boltzmann's ergodic hypothesis . . . . . 71--89
Christian Gilain Sur l'histoire du théor\`eme fondamental
de l'alg\`ebre: théorie des équations et
calcul intégral. (French) [On the
Fundamental Theorem of Algebra: theory
of the equations of integral calculus] 91--136
O. B. Sheynin H. Poincaré's work on probability . . . . 137--171
Marjorie Malley A heated controversy on cold light . . . 173--186
Thomas Hawkins Jacobi and the birth of Lie's Theory of
Groups . . . . . . . . . . . . . . . . . 187--278
José Chabás The astronomical tables of Jacob ben
David Bonjorn . . . . . . . . . . . . . 279--314
J. Eisenstaedt De l'influence de la gravitation sur la
propagation de la lumi\`ere en théorie
newtonienne. L'archéologie des trous
noirs. (French) [On the influence of
gravitation on the propagation of light
in Newtonian theory. The archaelogy of
black holes] . . . . . . . . . . . . . . 315--386
Manuel G. Doncel On the process of Hertz's conversion to
Hertzian waves . . . . . . . . . . . . . 1--27
Andrew Warwick On the role of the FitzGerald--Lorentz
contraction hypothesis in the
development of Joseph Larmor's
electronic theory of matter . . . . . . 29--91
Bernard R. Goldstein and
Alan C. Bowen The introduction of dated observations
and precise measurement in Greek
astronomy . . . . . . . . . . . . . . . 93--132
J. L. Berggren Ptolemy's maps of Earth and the heavens:
a new interpretation . . . . . . . . . . 133--144
Paola Gario Singolarit\`a e geometria sopra una
superficie nella corrispondenza di C.
Segre a G. Castelnuovo. (Italian)
[Singularity and geometry over a surface
in the correspondence of C. Segre to G.
Castelnuovo] . . . . . . . . . . . . . . 145--188
Hans Freudenthal Nichteuklidische Geometrie im Altertum?.
(German) [Non-Euclidean geometry in
antiquity] . . . . . . . . . . . . . . . 189--197
O. B. Sheynin On V. Ya. Buniakovsky's work in the
theory of probability . . . . . . . . . 199--223
Jacques Dutka The early history of the factorial
function . . . . . . . . . . . . . . . . 225--249
James F. Bell The late-twentieth century resolution of
a mid-nineteenth century dilemma
generated by the eighteenth-century
experiments of Ernst Chladni on the
dynamics of rods . . . . . . . . . . . . 251--273
J. L. Mancha Astronomical use of pinhole images in
William of Saint--Cloud's Almanach
Planetarum (1292) . . . . . . . . . . . 275--298
Helge Kragh Relativistic collisions: The work of
Christian Mòller in the early 1930s . . . 299--328
James Casey The principle of rigidification . . . . 329--383
C. Truesdell Corrections and additions for ``Maria
Gaetana Agnesi'' . . . . . . . . . . . . 385--386
Ellis Harold Dill Kirchhoff's theory of rods . . . . . . . 1--23
Günter Bierhalter Von L. Boltzmann bis J. J. Thomson: die
Versuche einer mechanischen Grundlegung
der Thermodynamik (1866--1890). (German)
[From L. Boltzmann to J. J. Thomson: the
search for a mechanical basis for
thermodynamics (1866--1890)] . . . . . . 25--75
Karin Reich Levi-Civitasche Parallelverschiebung,
affiner Zusammenhang,
Übertragungsprinzip: 1916/17--1922/23.
(German) [Levi-Civita translation,
affine connection, transmission
principle] . . . . . . . . . . . . . . . 77--105
Paul Keyser A new look at Heron's ``Steam Engine'' 107--124
Bruce Pourciau Newton's solution of the one-body
problem . . . . . . . . . . . . . . . . 125--146
Shinko Aoki The Moon-test in Newton's Principia:
Accuracy of inverse-square law of
universal gravitation . . . . . . . . . 147--190
Hugh Thurston Greek and Indian planetary longitudes 191--195
Xavier Roqué Mòller scattering: a neglected
application of early quantum
electrodynamics . . . . . . . . . . . . 197--264
Michael A. B. Deakin The ascendancy of the Laplace transform
and how it came about . . . . . . . . . 265--286
Wilbur R. Knorr When circles don't look like circles: an
optical theorem in Euclid and Pappus . . 287--329
Bruce Pourciau Radical principia . . . . . . . . . . . 331--363
Norbert Straumann Von der Stech--Jensen-Transformation zur
universellen V-A-Wechselwirkung.
(German) [On the Stech--Jensen
transformation to the universal
V-A-reciprocal effect] . . . . . . . . . 365--386
Anders Thorup A pre-Euclidean theory of proportions 1--16
John D. Norton Einstein, Nordström and the early demise
of scalar, Lorentz-covariant theories of
gravitation . . . . . . . . . . . . . . 17--94
V. S. Tuman An attempt to date text 3 of Enuma Anu
Enlil, tablets 50--51 ``tentative date
December 2, 1878'' . . . . . . . . . . . 95--103
Ian Tweddle James Stirling's early work on
acceleration of convergence . . . . . . 105--125
Ria Vanden Eynde Historical evolution of the concept of
homotopic paths . . . . . . . . . . . . 127--188
Olivier Darrigol The electrodynamic revolution in Germany
as documented by early German
expositions of ``Maxwell's theory'' . . 189--280
Roger Cooke Uniqueness of trigonometric series and
descriptive set theory, 1870--1985 . . . 281--334
Margherita Bartolozzi and
Raffaella Franci La regola dei segni dall'enunciato di R.
Descartes (1637) alla dimostrazione di
C. F. Gauss (1828). (Italian) [The rule
of signs enunciated by R. Descartes
(1637) as demonstrated by C. F. Gauss
(1828)] . . . . . . . . . . . . . . . . 335--374
Rossana Tazzioli Ether and theory of elasticity in
Beltrami's work . . . . . . . . . . . . 1--37
Oscar Sheynin On the history of the principle of least
squares . . . . . . . . . . . . . . . . 39--54
Jacques Dutka ''Eratosthenes' measurement of the Earth
reconsidered'' . . . . . . . . . . . . . 55--66
P. L. Butzer and
R. J. Nessel Aspects of de La Vallée Poussin's work in
approximation and its influence . . . . 67--95
Antoni Malet James Gregorie on tangents and the
``Taylor'' rule for series expansions 97--137
M. Carmen Hernández Martín Esbozo de una logica interna en la obra
arquimediana. (Spanish) [Outline of
internal logic in the works of
Archimedes] . . . . . . . . . . . . . . 139--151
Oscar Sheynin The treatment of observations in early
astronomy . . . . . . . . . . . . . . . 153--192
Herbert Breger The mysteries of adaequare: a
vindication of Fermat . . . . . . . . . 193--219
Michael Nauenberg Newton's early computational method for
dynamics . . . . . . . . . . . . . . . . 221--252
Oscar Sheynin C. F. Gauss and geodetic observations 253--283
E. Recasens J. Zaragosa's centrum minimum, an early
version of barycentric geometry . . . . 285--320
Oscar Sheynin Chebyshev's lectures on the theory of
probability . . . . . . . . . . . . . . 321--340
Penha Maria Cardoso Dias ``Will someone say exactly what the
$H$-theorem proves?'' A study of
Burbury's Condition A and Maxwell's
Proposition II . . . . . . . . . . . . . 341--366
Evgeny A. Zaitsev An interpretation of Peano's logic . . . 367--383
Lay Yong Lam Jiu zhang suanshu (nine chapters on the
mathematical art): an overview . . . . . 1--51
Sonja Brentjes Textzeugen und Hypothesen zum arabischen
Euklid in der Überlieferung von
al-\dHa\ug\ug\=a\ug b. Y\=usuf b.
Ma\dtar (zwischen 786 und 833). (German)
[Text witness and hypotheses on the
Arabic Euclid in the ???? of
al-\dHa\ug\ug\=a\ug b. Y\=usuf b.
Ma\dtar (between 786 und 833)] . . . . . 53--92
François Jongmans and
Eugene Seneta A probabilistic ``New Principle'' of the
19$^{{\rm th}}$ century . . . . . . . . 93--102
Craig G. Fraser The Origins of Euler's Variational
Calculus . . . . . . . . . . . . . . . . 103--141
Klaus Hentschel Erwin Finlay Freundlich and Testing
Einstein's Theory of Relativity . . . . 143--201
Luigi Maier\`u La ``Filosofia delle Matematiche'' di P.
Galluppi. (Italian) [The `Philosophy of
Mathematics' of P. Galluppi] . . . . . . 203--231
Sungook Hong Controversy over Voltaic Contact
phenomena, 1862--1900 . . . . . . . . . 233--289
José Romo and
Manuel G. Doncel Faraday's initial mistake concerning the
direction of induced currents, and the
manuscript of series I of his researches 291--385
José Chabás and
Bernard R. Goldstein Andalusian astronomy: al-Z\^\ij
al-Muqtabis of Ibn al-Kammâd . . . . . . 1--41
Luigi Maier\`u Rapporto fra ``metodo'' e ``contenuti
matematici'' in P. Gesualdo Melacrin\`o
da Reggio Calabria. (Italian)
[Relationship between `method' and
`contained mathematics' in Fater
Gesualdo Melacrin\`o of Reggio Calabria] 43--79
Lars Gårding and
Christian Skau Niels Henrik Abel and solvable equations 81--103
Jesper Lützen Note by the communicator of two papers,
by J. Barrow--Green and by K. G.
Andersson, on Poincaré . . . . . . . . . 105--106
June Barrow-Green Oscar II's prize competition and the
error in Poincaré's memoir on the three
body problem . . . . . . . . . . . . . . 107--131
K. G. Andersson Poincaré's discovery of homoclinic points 133--147
Wilfried Schröder and
Hans-Jürgen Treder Zu Einsteins letzter Vorlesung ---
Beobachtbarkeit, Realität und
Vollständigkeit in Quanten- und
Relativitätstheorie. (German) [On
Einstein's last lecture ---
observability, reality, and completeness
in quantum and Relativity theory] . . . 149--154
Oscar Sheynin Bertrand's work on probability . . . . . 155--199
Michael Segre Peano's axioms in their historical
context . . . . . . . . . . . . . . . . 201--342
E. Broydrick Thro Leonardo da Vinci's solution to the
problem of the pinhole camera . . . . . 343--371
Per Olof Fröman Historical background of the Tachyon
concept . . . . . . . . . . . . . . . . 373--380
Jesper Lützen Interactions between mechanics and
differential geometry in the 19$^{{\rm
th}}$ century . . . . . . . . . . . . . 1--72
Oscar Sheynin Helmert's work in the theory of errors 73--104
Jacques Dutka On the early history of Bessel functions 105--134
Penha Maria Cardoso Dias and
Simone Pinheiro Pinto and
Deisemar Hollanda Cassiano The conceptual import of Carnot's
theorem to the discovery of the entropy 135--161
Oscar Sheynin Density curves in the theory of Errors 163--196
H. G. Hertz and
Manuel G. Doncel Heinrich Hertz's laboratory notes of
1887 . . . . . . . . . . . . . . . . . . 197--270
R. P. Lorch Ptolemy and Maslama on the
transformation of circles into circles
in stereographic projection . . . . . . 271--284
Daniel McCarthy The lunar and Paschal tables of De
ratione paschali attributed to Anatolius
of Laodicea . . . . . . . . . . . . . . 285--320
Franco Palladino and
Rossana Tazzioli Le lettere di Eugenio Beltrami nella
corrispondenza di Ernesto Ces\`aro.
(Italian) [Letters of Eugene Beltrami in
the correspondence of Ernesto Ces\`aro] 321--353
Jacques Dutka On Gauss' priority in the discovery of
the method of least squares . . . . . . 355--370
John L. Greenberg Isaac Newton and the problem of the
Earth's shape . . . . . . . . . . . . . 371--391
Shinko Aoki Corrections and additions for ``The
Moon-test in Newton's Principia:
Accuracy of inverse-square law of
universal gravitation'' . . . . . . . . 393--396
C. Truesdell The thirty-fifth anniversary of this
archive, by the editor . . . . . . . . . 1--4
José Ferreirós Traditional logic and the early history
of sets, 1854--1908 . . . . . . . . . . 5--71
Gyeong Soon Im Experimental constraints on formal
quantum mechanics: The emergence of
Born's quantum theory of collision
processes in Göttingen, 1924--1927 . . . 73--101
David Speiser The Kepler Problem from Newton to Johann
Bernoulli . . . . . . . . . . . . . . . 103--116
Jean Eisenstaedt L'optique balistique newtonienne \`a
l'épreuve des satellites de Jupiter.
(French) [Newtonian ballistic optics
tested by Jupiter's satellites] . . . . 117--156
Alan C. Bowen and
Bernard R. Goldstein Geminus and the concept of mean motion
in Greco--Latin astronomy . . . . . . . 157--185
Jacques Dutka On the summation of some divergent
series of Euler and the zeta functions 187--200
Lay Yong Lam Zhang Qiujian Suanjing (the mathematical
classic of Zhang Qiujian): an overview 201--240
J. V. Field Rediscovering the Archimedean Polyhedra:
Piero della Francesca, Luca Pacioli,
Leonardo da Vinci, Albrecht Dürer,
Daniele Barbaro, and Johannes Kepler . . 241--289
Olaf Neumann Die Entwicklung der Galois--Theorie
zwischen Arithmetik und Topologie (1850
bis 1960). (German) [The development of
Galois theory between arithmetic and
topology (1850 to 1960)] . . . . . . . . 291--329
Helge Kragh The origin of radioactivity: From
solvable problem to unsolved non-problem 331--358
Xiang Chen The debate on the ``polarity of light''
during the optical revolution . . . . . 359--393
Henk J. M. Bos and
Jed Z. Buchwald Editorial statement . . . . . . . . . . 1--1
Miriam Franchella On the origins of Dénes König's infinity
lemma . . . . . . . . . . . . . . . . . 3--27
Mark McKinzie and
Curtis Tuckey Hidden lemmas in Euler's summation of
the reciprocals of the squares . . . . . 29--57
Jacques Dutka A note on `Kepler's equation' . . . . . 59--65
Roberto de Andrade Martins Becquerel and the choice of uranium
compounds . . . . . . . . . . . . . . . 67--81
Leo Corry David Hilbert and the axiomatization of
physics (1894--1905) . . . . . . . . . . 83--198
Klaus Hentschel An unwelcome discovery: The pole effect
in the electric arc, a threat to early
20th century precision spectrometry . . 199--271
Leo Corry Hermann Minkowski and the postulate of
relativity . . . . . . . . . . . . . . . 273--314
Jürgen Renn Einstein's controversy with Drude and
the origin of statistical mechanics: a
new glimpse from the ``Love Letters'' 315--354
J. L. Mancha On Ibn Al-Kammad's Table for Trepidation 1--11
J. L. Mancha Heuristic reasoning: Approximation
Procedures in Levi ben Gerson's
Astronomy . . . . . . . . . . . . . . . 13--50
Reinhard Siegmund-Schultze Eliakim Hastings Moore's ``General
Analysis'' . . . . . . . . . . . . . . . 51--89
Eliyahu Beller A Newly-Discovered Ancient Value for the
Length of the Year . . . . . . . . . . . 91--98
Oscar Sheynin The Theory of Probability: Its
Definition and Its Relation to
Statistics . . . . . . . . . . . . . . . 99--108
Nathaniel Grossman Newton's Quiescence of the Apsides and
Radially-Symmetric Attractions to a
Center . . . . . . . . . . . . . . . . . 109--117
Della Dumbaugh Fenster Leonard Eugene Dickson and his work in
the Arithmetics of Algebras . . . . . . 119--159
M. T. Rivolo and
A. Simi Il Calcolo delle Radici Quadrate e
Cubiche in Italia da Fibonacci a
Bombelli. (Italian) [The calculation of
square and cube roots in Italy from
Fibonacci to Bombelli] . . . . . . . . . 161--193
Lucio Russo The Definitions of Fundamental Geometric
Entities Contained in Book I of Euclid's
Elements . . . . . . . . . . . . . . . . 195--219
Ido Yavetz On the Homocentric Spheres of Eudoxus 221--278
Bruce Pourciau The Preliminary Mathematical Lemmas of
Newton's Principia . . . . . . . . . . . 279--295
Moritz Epple Topology, Matter, and Space, I:
Topological Notions in 19th-Century
Natural Philosophy . . . . . . . . . . . 297--392
Y. Maeyama Determination of the Sun's Orbit:
Hipparchus, Ptolemy, al-Battani,
Copernicus, Tycho Brahe . . . . . . . . 1--49
Gregg Jaeger The Ehrenfest Classification of Phase
Transitions: Introduction and Evolution 51--81
I. Bernard Cohen Newton's Determination of the Masses and
Densities of the Sun, Jupiter, Saturn,
and the Earth . . . . . . . . . . . . . 83--95
H. L. L. Busard Zwei mittelalterliche Texte zur
theoretischen Mathematik: Die
Arithmetica speculativa von Thomas
Bradwardine und die Theorica numerorum
von Wigandus Durnheimer. (German) [Two
medieval texts of theoretical
mathematics: The Arithmetica speculativa
of Thomas Bradwardine and the Theorica
numerorum of Wigandus Durnheimer] . . . 97--124
Geoffrey. J. Dobson Newton's Problems with Rigid Body
Dynamics in the Light of his Treatment
of the Precession of the Equinoxes . . . 125--145
Luis Navarro Gibbs, Einstein and the Foundations of
Statistical Mechanics . . . . . . . . . 147--180
Wenlin Li and
Jean-Claude Martzloff Aperçu sur les échanges mathématiques entre
la Chine et la France (1880--1949).
(French) [Views of the mathematical
exchanges between China and France
(1880--1949)] . . . . . . . . . . . . . 181--200
E. Seneta Early Influences on Probability and
Statistics in the Russian Empire . . . . 201--213
Norman T. Hamilton and
Asger Aaboe A Babylonian Venus Text Computed
According to System A: ACT No. 1050 . . 215--221
Paolo Palmieri Re-examining Galileo's Theory of Tides 223--375
Jacques Sesiano Les carrés magiques de Manuel
Moschopoulos. (French) [The magics
squares of Manuel Moschopoulos] . . . . 377--397
Allan Franklin Selectivity and the Production of
Experimental Results ``Any fool can take
data. It's taking good data that
counts.'' E. Commins (private
communication) . . . . . . . . . . . . . 399--485
Leo Corry David Hilbert between Mechanical and
Electromagnetic Reductionism
(1910--1915) . . . . . . . . . . . . . . 489--527
Tilman Sauer The Relativity of Discovery: Hilbert's
First Note on the Foundations of Physics 529--575
Geoffrey J. Dobson Against Chandrasekhar's Interpretation
of Newton's Treatment of the Precession
of the Equinoxes . . . . . . . . . . . . 577--597
Reviel Netz Archimedes Transformed: The Case of a
Result Stating a Maximum for a Cubic
Equation . . . . . . . . . . . . . . . . 1--47
N. M. Swerdlow Acronychal Risings in Babylonian
Planetary Theory . . . . . . . . . . . . 49--65
Penha Maria Cardoso Dias Euler's ``Harmony'' Between the
Principles of ``Rest'' and ``Least
Action'': The Conceptual Making of
Analytical Mechanics . . . . . . . . . . 67--86
Eberhard Knobloch Galileo and Leibniz: Different
Approaches to Infinity . . . . . . . . . 87--99
Giovanni Ferraro The First Modern Definition of the Sum
of a Divergent Series: An Aspect of the
Rise of 20th Century Mathematics . . . . 101--135
Menachem Fisch The Making of Peacock's Treatise on
Algebra: a Case of Creative Indecision 137--179
Carlos Alvarez On the History of Souslin's Problem . . 181--242
Geoffrey J. Dobson Newton's Errors with the Rotational
Motion of Fluids . . . . . . . . . . . . 243--254
Alexander Jones A Likely Source of an Observation Report
in Ptolemy's Almagest . . . . . . . . . 255--258
J. A. Ruffner Newton's Propositions on Comets: Steps
in Transition, 1681--84 . . . . . . . . 259--277
Jan Lacki The Early Axiomatizations of Quantum
Mechanics: Jordan, von Neumann and the
Continuation of Hilbert's Program . . . 279--318
Giulio Maltese On the Relativity of Motion in Leonhard
Euler's Science . . . . . . . . . . . . 319--348
John P. Britton and
Alexander Jones A New Babylonian Planetary Model in a
Greek Source . . . . . . . . . . . . . . 349--373
Peter Ullrich The Poincaré--Volterra Theorem: From
Hyperelliptic Integrals to Manifolds
with Countable Topology . . . . . . . . 375--402
Arne Hessenbruch Rutherford's 1901 Experiment on
Radiation Energy and His Creation of a
Stable Detector . . . . . . . . . . . . 403--420
John M. Steele Eclipse Prediction in Mesopotamia . . . 421--454
Jacqueline A. Stedall Rob\'d of Glories: The Posthumous
Misfortunes of Thomas Harriot and His
Algebra . . . . . . . . . . . . . . . . 455--497
Kurt Mòller Pedersen Water-Filled Telescopes and the
Pre-History of Fresnel's Ether Dragging 499--564
Alan Gluchoff and
Frederick Hartmann On a ``Much Underestimated'' Paper of
Alexander . . . . . . . . . . . . . . . 1--41
Helge Kragh and
Bruno Carazza Classical Behavior of Macroscopic Bodies
from Quantum Principles: Early
Discussions . . . . . . . . . . . . . . 43--56
F. Acerbi Plato: Parmenides 149a7-c3. A Proof by
Complete Induction? . . . . . . . . . . 57--76
Hél\`ene Vignolles La Distance des Étoiles au dix-huiti\`eme
Si\`ecle: L'Échelle des Magnitudes de
John Michell. (French) [The distance of
stars in the 18$^{{\rm th}}$ century:
John Mitchell's magnitude scale] . . . . 77--101
John M. Steele A 3405: An Unusual Astronomical Text
from Uruk . . . . . . . . . . . . . . . 103--135
Robert Weinstock Inverse--Square Orbits in Newton's
Principia and Twentieth-Century
Commentary Thereon . . . . . . . . . . . 137--162
Manfred Hüttig The Conical Sundial from Thyrrheion ---
Reconstruction and Error Analysis of a
Displaced Antique Sundial . . . . . . . 163--176
M. T. Wright Greek and Roman Portable Sundials: An
Ancient Essay in Approximation . . . . . 177--187
John Earman Lambda: The Constant That Refuses to Die 189--220
S. Rommevaux and
A. Djebbar and
B. Vitrac Remarques sur l'Histoire du Texte des
Éléments d'Euclide. (French) [Remarks on
the history of the text of Euclid's
\booktitleElements] . . . . . . . . . . 221--295
Klaus Hentschel Das Brechungsgesetz in der Fassung von
Snellius Rekonstruktion seines
Entdeckungspfades und eine Übersetzung
seines lateinischen Manuskriptes sowie
ergänzender Dokumente. (German) [The Law
of Refraction in the version of
Snellius' reconstruction of its
discovery path and a translation of its
Latin manuscript as well as
supplementing documents] . . . . . . . . 297--344
Geoffrey J. Dobson On Lemmas 1 and 2 to Proposition 39 of
Book 3 of Newton's Principia . . . . . . 345--363
Jed Z. Buchwald A Potential Disagreement Between
Helmholtz and Hertz . . . . . . . . . . 365--393
Amy Dahan Dalmédico History and Epistemology of Models:
Meteorology (1946--1963) as a Case Study 395--422
Isabelle Landry-Deron Les Mathématiciens envoyés en Chine par
Louis XIV en 1685. (French) [The
mathematicians sent to China by Louis
XIV in 1685] . . . . . . . . . . . . . . 423--463
Jeff Loveland Buffon, the Certainty of Sunrise, and
the Probabilistic Reductio ad Absurdum 465--477
Bruce Pourciau The Integrability of Ovals: Newton's
Lemma 28 and Its Counterexamples . . . . 479--499
Eugene Seneta and
Karen Hunger Parshall and
François Jongmans Nineteenth-Century Developments in
Geometric Probability: J. J. Sylvester,
M. W. Crofton, J.-É. Barbier, and J.
Bertrand . . . . . . . . . . . . . . . . 501--524
John P. Britton Remarks on a System: a Text for Venus:
ACT 1050 . . . . . . . . . . . . . . . . 525--554
Paolo Palmieri The Obscurity of the Equimultiples
Clavius' and Galileo's Foundational
Studies of Euclid's Theory of
Proportions . . . . . . . . . . . . . . 555--597
Jacqueline A. Stedall The Discovery of Wonders: Reading
Between the Lines of John Wallis's
Arithmetica infinitorum . . . . . . . . 1--28
Massimo Galuzzi Galois' Note on the Approximative
Solution of Numerical Equations (1830) 29--37
Tinne Hoff Kjeldsen John von Neumann's Conception of the
Minimax Theorem: a Journey Through
Different Mathematical Contexts . . . . 39--68
Ido Yavetz A New Role for the Hippopede of Eudoxus 69--93
Olivier Darrigol Between Hydrodynamics and Elasticity
Theory: The First Five Births of the
Navier--Stokes Equation . . . . . . . . 95--150
Sandro Caparrini The Discovery of the Vector
Representation of Moments and Angular
Velocity . . . . . . . . . . . . . . . . 151--181
Anne Merker Aristote et l'Arc-en-Ciel: Enjeux
Philosophiques et Étude Scientifique.
(French) [Aristotle and the Rainbow:
????] . . . . . . . . . . . . . . . . . 183--238
Bernard Vitrac Note Textuelle sur un (Probl\`eme de)
Lieu Géométrique dans les Météorologiques
d'Aristote (III. 5, 375 b 16--376 b 22).
(French) [Textual note on the (problem
of) geometric place in the meteorologies
of Aristotle (III. 5, 375 b 16--376 b
22)] . . . . . . . . . . . . . . . . . . 239--283
Detlef D. Spalt Cauchys Kontinuum: Eine
historiografische Annäherung via Cauchys
Summensatz. (German) [Cauchy's
continuum: a historigraphical approach
via Cauchy's sum theorem] . . . . . . . 285--338
Alexander J. Hahn The Pendulum Swings Again: a
Mathematical Reassessment of Galileo's
Experiments with Inclined Planes . . . . 339--361
Maurizio Avellone and
Aldo Brigaglia and
Carmela Zappulla The Foundations of Projective Geometry
in Italy from De Paolis to Pieri . . . . 363--425
Dennis W. Duke Hipparchus' Coordinate System . . . . . 427--433
Dennis W. Duke Associations Between the Ancient Star
Catalogues . . . . . . . . . . . . . . . 435--450
Michael Eckert Euler and the Fountains of Sanssouci . . 451--468
Tinne Hoff Kjeldsen Different Motivations and Goals in the
Historical Development of the Theory of
Systems of Linear Inequalities . . . . . 469--538
Orna Harari The Concept of Existence and the Role of
Constructions in Euclid's Elements . . . 1--23
Yunli Shi The Korean Adaptation of the
Chinese--Islamic Astronomical Tables . . 25--60
Shaul Katzir The Discovery of the Piezoelectric
Effect . . . . . . . . . . . . . . . . . 61--91
Alain Bernard Sophistic Aspects of Pappus's Collection 93--150
Bernard R. Goldstein An Anonymous Zij in Hebrew for 1400
A.D.: a Preliminary Report . . . . . . . 151--171
F. Acerbi Drowning by Multiples Remarks on the
Fifth Book of Euclid's
\booktitleElements, with Special
Emphasis on Prop. 8 . . . . . . . . . . 175--242
Daniel P. McCarthy and
John G. Byrne Al-Khw\=arizm\=\i's Sine Tables and a
Western Table with the Hindu Norm of $R
= 150$ . . . . . . . . . . . . . . . . . 243--266
Bruce Pourciau Newton's Argument for Proposition 1 of
the Principia . . . . . . . . . . . . . 267--311
J. Bruce Brackenridge Newton's Easy Quadratures ``Omitted for
the Sake of Brevity'' . . . . . . . . . 313--336
Oscar B. Sheynin Nekrasov's Work on Probability: The
Background . . . . . . . . . . . . . . . 337--353
A. E. L. Davis The Mathematics of the Area Law:
Kepler's Successful Proof in Epitome
Astronomiae Copernicanae (1621) . . . . 355--393
Helge Kragh Magic Number: a Partial History of the
Fine-Structure Constant . . . . . . . . 395--431
Karin Reich Cauchy und Gauß. Cauchys Rezeption im
Umfeld von Gauß. (German) [Cauchy and
Gauss. Cauchy's reception in the field
surrounding Gauss] . . . . . . . . . . . 433--463
F. Acerbi On the Shoulders of Hipparchus . . . . . 465--502
Jacques Sesiano Construction of Magic Squares Using the
Knight's Move in Islamic Mathematics . . 1--20
Olivier Darrigol The Spirited Horse, the Engineer, and
the Mathematician: Water Waves in
Nineteenth-Century Hydrodynamics . . . . 21--95
Luis Navarro and
Enric Pérez Paul Ehrenfest on the Necessity of
Quanta (1911): Discontinuity,
Quantization, Corpuscularity, and
Adiabatic Invariance . . . . . . . . . . 97--141
J. L. Mancha Al-Bi\dt\=uj\=\i's Theory of the Motions
of the Fixed Stars . . . . . . . . . . . 143--182
José Chabás Astronomy for the Court in the Early
Sixteenth Century: Alfonso de Córdoba and
his Tabule Atronomice Elisabeth Regine 183--217
Jeroen van Dongen Einstein's Methodology, Semivectors and
the Unification of Electrons and Protons 219--254
S. C. Coutinho Quotient Rings of Noncommutative Rings
in the First Half of the 20th Century 255--281
Bruce Pourciau The Importance of Being Equivalent:
Newton's Two Models of One-Body Motion 283--321
Allan Franklin Doing Much About Nothing . . . . . . . . 323--379
Robert Nadal and
Abdelkaddous Taha and
Pierre Pinel Le contenu astronomique des Sphériques de
Ménélaos. (French) [The astronomical
content of the spherics of Menelaos] . . 381--436
Robert Nadal and
Abdelkaddous Taha and
Pierre Pinel Erratum: Le contenu astronomique des
Sphériques de Ménélaos: . (French)
[Erratum: The astronomical content of
the Spherics of Menelaos] . . . . . . . 437--437
Reinhold Bien Gauß and Beyond: The Making of Easter
Algorithms . . . . . . . . . . . . . . . 439--452
Bernard R. Goldstein and
José Chabás Ptolemy, Bianchini, and Copernicus:
Tables for Planetary Latitudes . . . . . 453--473
Alexander Jones A Study of Babylonian Observations of
Planets Near Normal Stars . . . . . . . 475--536
N. A. Roughton and
J. M. Steele and
C. B. F. Walker A Late Babylonian Normal and Ziqpu Star
Text . . . . . . . . . . . . . . . . . . 537--572
Bernard Vitrac \`A Propos des Démonstrations
Alternatives et Autres Substitutions de
Preuves Dans les Éléments d\'Euclide.
(French) [On alternative demonstrations
and other substitutions of proofs in
Euclid's Elements] . . . . . . . . . . . 1--44
John D. Norton Einstein's Investigations of Galilean
Covariant Electrodynamics Prior to 1905 45--105
Giora Hon and
Bernard R. Goldstein Legendre's Revolution (1794): The
Definition of Symmetry in Solid Geometry 107--155
Ciyuan Liu The Regular Records of Solar Eclipse in
Ancient China and a Computer Readable
Table . . . . . . . . . . . . . . . . . 157--168
Dennis Duke Ptolemy's Treatment of the Outer Planets 169--187
Paolo Palmieri The Cognitive Development of Galileo's
Theory of Buoyancy . . . . . . . . . . . 189--222
Giovanni Mingari Scarpello and
Aldo Scimone The Work of Tschirnhaus, La Hire and
Leibniz on Catacaustics and the Birth of
the Envelopes of Lines in the 17th
Century . . . . . . . . . . . . . . . . 223--250
L. W. B. Browne Halley's Method for Calculating the
Earth--Sun Distance . . . . . . . . . . 251--266
Martin Niss History of the Lenz--Ising Model
1920--1950: From Ferromagnetic to
Cooperative Phenomena . . . . . . . . . 267--318
F. Acerbi A Reference to Perfect Numbers in
Plato's Theaetetus . . . . . . . . . . . 319--348
Della D. Fenster and
Joachim Schwermer A Delicate Collaboration: Adrian Albert
and Helmut Hasse and the Principal
Theorem in Division Algebras in the
Early 1930's . . . . . . . . . . . . . . 349--379
Thomas Hawkins Frobenius, Cartan, and the Problem of
Pfaff . . . . . . . . . . . . . . . . . 381--436
Giora Hon and
Bernard R. Goldstein How Einstein Made Asymmetry Disappear:
Symmetry and Relativity in 1905 . . . . 437--544
Nicolas Vinel Un Carré Magique Pythagoricien ?
Jamblique précurseur des témoins
Arabo--Byzantins. (French) [A
Pythagorean magic square? Jamblique
precursor of the Arab--Byzantine
witnesses] . . . . . . . . . . . . . . . 545--562
Dennis Duke The Equant in India: The Mathematical
Basis of Ancient Indian Planetary Models 563--576
Tilman Sauer Einstein Equations and Hilbert Action:
What is missing on page 8 of the proofs
for Hilbert's First Communication on the
Foundations of Physics? . . . . . . . . 577--590
Yannis Thomaidis A Framework for Defining the Generality
of Diophantos' Methods in
``Arithmetica'' . . . . . . . . . . . . 591--640
Yannis Thomaidis Erratum: a Framework for Defining the
Generality of Diophantos' Methods in
``Arithmetica'' . . . . . . . . . . . . 641--641
Philip Ehrlich The Rise of non-Archimedean Mathematics
and the Roots of a Misconception I: the
Emergence of non-Archimedean Systems of
Magnitudes . . . . . . . . . . . . . . . 1--121
J. M. Steele Miscellaneous Lunar Tables from Babylon 123--155
Bruce Pourciau Newton's Interpretation of Newton's
Second Law . . . . . . . . . . . . . . . 157--207
Luis Navarro and
Enric Pérez Paul Ehrenfest: The Genesis of the
Adiabatic Hypothesis, 1911--1914 . . . . 209--267
Y. Maeyama On the Extreme Lunar Velocities . . . . 269--283
P. Palmieri A New Look at Galileo's Search for
Mathematical Proofs . . . . . . . . . . 285--317
Domenico Bertoloni Meli Inherent and Centrifugal Forces in
Newton . . . . . . . . . . . . . . . . . 319--335
Jean-Pierre Provost and
Christian Bracco La Relativité de Poincaré de 1905 et les
Transformations Actives. (French)
[Poincaré's Relativity of 1905 and active
transformations] . . . . . . . . . . . . 337--351
Glen Van Brummelen Taking Latitude with Ptolemy: Jamsh\=\id
al-K\=ash\=\i's Novel Geometric Model of
the Motions of the Inferior Planets . . 353--377
Peter M. Neumann The Concept of Primitivity in Group
Theory and the Second Memoir of Galois 379--429
Reinhard Siegmund-Schultze Probability in 1919/20: the von
Mises--Pólya-Controversy . . . . . . . . 431--515
Alberto A. Martínez Replication of Coulomb's Torsion Balance
Experiment . . . . . . . . . . . . . . . 517--563
Jed Z. Buchwald Discrepant Measurements and Experimental
Knowledge in the Early Modern Era . . . 565--649
Henry Mendell Two Traces of Two-Step Eudoxan
Proportion Theory in Aristotle: a Tale
of Definitions in Aristotle, with a
Moral . . . . . . . . . . . . . . . . . 3--37
Reinhold Bien Vi\`ete's Controversy with Clavius Over
the Truly Gregorian Calendar . . . . . . 39--66
Jed Z. Buchwald Huygens' Methods for Determining Optical
Parameters in Birefringence . . . . . . 67--81
John P. Britton Studies in Babylonian Lunar Theory: Part
I. Empirical Elements for Modeling Lunar
and Solar Anomalies . . . . . . . . . . 83--145
Dennis W. Duke The Second Lunar Anomaly in Ancient
Indian Astronomy . . . . . . . . . . . . 147--157
Tilman Sauer Einstein and the early Theory of
Superconductivity, 1919--1922 . . . . . 159--211
J. L. Berggren and
Nathan Sidoli Aristarchus's On the Sizes and Distances
of the Sun and the Moon: Greek and
Arabic Texts . . . . . . . . . . . . . . 213--254
Raymond Mercier The Standard Scheme of the Moon and Its
Mean Quantities . . . . . . . . . . . . 255--272
Luigi Borzacchini Incommensurability, Music and Continuum:
a Cognitive Approach . . . . . . . . . . 273--302
Danilo Capecchi and
Giuseppe C. Ruta Piola's contribution to continuum
mechanics . . . . . . . . . . . . . . . 303--342
Olivier Darrigol The acoustic origins of harmonic
analysis . . . . . . . . . . . . . . . . 343--424
Della D. Fenster and
Joachim Schwermer Beyond Class Field Theory: Helmut
Hasse's arithmetic in the Theory of
Algebras in Early 1931 . . . . . . . . . 425--456
Giovanni Ferraro The foundational aspects of Gauss's work
on the hypergeometric, factorial and
digamma functions . . . . . . . . . . . 457--518
Kajsa Bråting A new look at E. G. Björling and the
Cauchy sum theorem . . . . . . . . . . . 519--535
José-Miguel Pacheco Castelao and
F. Javier Pérez-Fernández and
Carlos-Oswaldo Suárez Alemán Numerical solving of equations in the
work of José Mariano Vallejo . . . . . . 537--552
Anthony Duncan and
Michel Janssen On the verge of Umdeutung
[reinterpretation] in Minnesota: Van
Vleck and the Correspondence Principle.
Part one . . . . . . . . . . . . . . . . 553--624
Anthony Duncan and
Michel Janssen On the verge of Umdeutung
[reinterpretation] in Minnesota: Van
Vleck and the Correspondence Principle.
Part two . . . . . . . . . . . . . . . . 625--671
Tilman Sauer Nova Geminorum 1912 and the origin of
the idea of gravitational lensing . . . 1--22
Thomas Hawkins Frobenius and the symbolical algebra of
matrices . . . . . . . . . . . . . . . . 23--57
Tinne Hoff Kjeldsen From measuring tool to geometrical
object: Minkowski's development of the
concept of convex bodies . . . . . . . . 59--89
Joseph W. Dauben Suan Shu Shu: a Book on Numbers and
Computations: English Translation with
Commentary . . . . . . . . . . . . . . . 91--178
Jacqueline Stedall Notes made by Thomas Harriot on the
treatises of François Vi\`ete . . . . . . 179--200
Philippe Nabonnand La théorie des Würfe [casts] de von Staudt
--- Une irruption de lálg\`ebre dans la
géométrie pure. (French) [The casts of von
Staudt theory --- an eruption of algebra
in pure geometry] . . . . . . . . . . . 201--242
Jean-Daniel Voelke Le théor\`eme fondamental de la géométrie
projective: évolution de sa preuve entre
1847 et 1900. (French) [The Fundamental
Theorem of Projective Geometry:
evolution of its proof between 1847 and
1900] . . . . . . . . . . . . . . . . . 243--296
Robin Hartshorne Publication history of von Staudt's
Geometrie der Lage . . . . . . . . . . . 297--299
Paolo Palmieri Breaking the circle: the emergence of
Archimedean mechanics in the late
Renaissance . . . . . . . . . . . . . . 301--346
Joseph W. Dauben Erratum: Suan Shu Shu: a Book on Numbers
and Computations: English Translation
with Commentary . . . . . . . . . . . . 347--347
Andrea Del Centina Unpublished manuscripts of Sophie
Germain and a revaluation of her work on
Fermat's Last Theorem . . . . . . . . . 349--392
Leo Corry Number crunching vs. number theory:
computers and FLT, from Kummer to SWAC
(1850--1960), and beyond . . . . . . . . 393--455
Peter Schreiber and
Gisela Fischer and
Maria Luise Sternath New light on the rediscovery of the
Archimedean solids during the
Renaissance . . . . . . . . . . . . . . 457--467
Shaul Katzir From ultrasonic to frequency standards:
Walter Cady's discovery of the sharp
resonance of crystals . . . . . . . . . 469--487
Dennis W. Duke Mean motions and longitudes in Indian
astronomy . . . . . . . . . . . . . . . 489--509
Fabio Acerbi Euclid's Pseudaria . . . . . . . . . . . 511--551
J. M. K. Gray and
J. M. Steele Studies on Babylonian goal-year
astronomy I: a comparison between
planetary data in Goal-Year Texts,
Almanacs and Normal Star Almanacs . . . 553--600
J. Z. Buchwald and
J. J. Gray The Archive for History of Exact
Sciences expands its scope to include
the history of modern biology . . . . . 601--602
David Aboav Euclid's book on divisions of figures: a
conjecture as to its origin . . . . . . 603--612
Jens Hòyrup The ``Unknown Heritage'': trace of a
forgotten locus of mathematical
sophistication . . . . . . . . . . . . . 613--654
Thomas Hawkins Continued fractions and the origins of
the Perron--Frobenius theorem . . . . . 655--717
J. Z. Buchwald and
J. J. Gray Journals under Threat: a Joint Response
from History of Science, Technology and
Medicine Editors . . . . . . . . . . . . 1--4
Fabio Acerbi The meaning of
$\pi\lambda\alpha\sigma\mu\alpha\tau\iota\kappa\acute\omicron\nu$ in Diophantus' Arithmetica 5--31
Clemens Adelmann and
Eberhard H.-A. Gerbracht Letters from William Burnside to Robert
Fricke: automorphic functions, and the
emergence of the Burnside Problem . . . 33--50
John Aldrich Burnside's engagement with the ``modern
theory of statistics'' . . . . . . . . . 51--79
Enric Pérez Ehrenfest's adiabatic theory and the old
quantum theory, 1916--1918 . . . . . . . 81--125
Enric Pérez Erratum: Ehrenfest's adiabatic
hypothesis and the old quantum theory,
1916--1918 . . . . . . . . . . . . . . . 127--127
Bruce Pourciau Proposition II (Book I) of Newton's \em
Principia . . . . . . . . . . . . . . . 129--167
Jeffrey A. Oaks Polynomials and equations in Arabic
algebra . . . . . . . . . . . . . . . . 169--203
Christián C. Carman Rounding numbers: Ptolemy's calculation
of the Earth--Sun distance . . . . . . . 205--242
Martin Niss History of the Lenz--Ising model
1950--1965: from irrelevance to
relevance . . . . . . . . . . . . . . . 243--287
Nissan Zeldes Giulio Racah and theoretical physics in
Jerusalem . . . . . . . . . . . . . . . 289--323
Ma Rosa Massa Esteve and
Amadeu Delshams Euler's beta integral in Pietro
Mengoli's works . . . . . . . . . . . . 325--356
John P. Britton Studies in Babylonian lunar theory. II.
Treatments of lunar anomaly . . . . . . 357--431
Paul Bockstaele Between Vi\`ete and Descartes: Adriaan
van Roomen and the \em Mathesis
Universalis . . . . . . . . . . . . . . 433--470
Paolo Palmieri Superposition: on Cavalieri's practice
of mathematics . . . . . . . . . . . . . 471--495
Christopher Hollings The early development of the algebraic
theory of semigroups . . . . . . . . . . 497--536
János Tanács Grasping the conceptual difference
between János Bolyai and Lobachevskii's
notions of non-Euclidean parallelism . . 537--552
Maarten Bullynck Reading Gauss in the computer age: on
the U.S. reception of Gauss's
number-theoretical work (1938--1989) . . 553--580
Nathan Sidoli and
Ken Saito The Role of Geometrical Construction in
Theodosius's Spherics . . . . . . . . . 581--609
J. M. K. Gray and
J. M. Steele Studies on Babylonian goal-year
astronomy II: the Babylonian calendar
and goal-year methods of prediction . . 611--633
Dennis Duke Mean Motions in Ptolemy's Planetary
Hypotheses . . . . . . . . . . . . . . . 635--654
Jeroen van Dongen On the Role of the Michelson--Morley
Experiment: Einstein in Chicago . . . . 655--663
Sébastien Gandon and
Yvette Perrin Le probl\`eme de la définition de l'aire
d'une surface gauche: Peano et Lebesgue.
(French) [The problem of the definition
of an unflattenable ruled surface: Peano
and Lebesgue] . . . . . . . . . . . . . 665--704
Renaud Chorlay From problems to structures: the Cousin
problems and the emergence of the sheaf
concept . . . . . . . . . . . . . . . . 1--73
Michela Malpangotto Graphical choices and geometrical
thought in the transmission of
Theodosius' \em Spherics from antiquity
to the Renaissance . . . . . . . . . . . 75--112
Clayton A. Gearhart ``Astonishing Successes'' and ``Bitter
Disappointment'': The Specific Heat of
Hydrogen in Quantum Theory . . . . . . . 113--202
Davide Cenadelli Solving the Giant Stars Problem:
Theories of Stellar Evolution from the
1930s to the 1950s . . . . . . . . . . . 203--267
M. Nauenberg The early application of the calculus to
the inverse square force problem . . . . 269--300
Jordan Bell A summary of Euler's work on the
pentagonal number theorem . . . . . . . 301--373
Dennis Duke Greek angles from Babylonian numbers . . 375--394
Stefano Zambelli Chemical kinetics and diffusion
approach: the history of the
Klein--Kramers equation . . . . . . . . 395--428
Jean Mawhin and
André Ronveaux Schrödinger and Dirac equations for the
hydrogen atom, and Laguerre polynomials 429--460
Frédéric Jaëck Éléments structurels en analyse
fonctionnelle: trois notes de Fréchet sur
les opérations linéaires . . . . . . . . . 461--483
Roy Wagner The natures of numbers in and around
Bombelli's \em L'algebra . . . . . . . . 485--523
Danilo Capecchi and
Giuseppe Ruta and
Patrizia Trovalusci From classical to Voigt's molecular
models in elasticity . . . . . . . . . . 525--559
Enric Pérez and
Tilman Sauer Einstein's quantum theory of the
monatomic ideal gas: non-statistical
arguments for a new statistics . . . . . 561--612
Alexander Jones Obituary: John P. Britton (1939--2010) 613--615
John P. Britton Studies in Babylonian lunar theory: part
III. The introduction of the uniform
zodiac . . . . . . . . . . . . . . . . . 617--663
S. C. Coutinho A lost chapter in the pre-history of
algebraic analysis: Whittaker on contact
transformations . . . . . . . . . . . . 665--706
Yuzhen Guan A new interpretation of Shen Kuo's Ying
Biao Yi . . . . . . . . . . . . . . . . 707--719
Helge Kragh An anthropic myth: Fred Hoyle's
carbon-12 resonance level . . . . . . . 721--751
Renaud Chorlay ''Local--Global'': the first twenty
years . . . . . . . . . . . . . . . . . 1--66
Albert Kainzinger The mathematics in the structures of
Stonehenge . . . . . . . . . . . . . . . 67--97
Colin McLarty Emmy Noether's first great mathematics
and the culmination of first-phase
logicism, formalism, and intuitionism 99--117
Fabio Acerbi The language of the ``Givens'': its
forms and its use as a deductive tool in
Greek mathematics . . . . . . . . . . . 119--153
John Hannah Conventions for recreational problems in
Fibonacci's Liber Abbaci . . . . . . . . 155--180
Steffen Ducheyne Testing universal gravitation in the
laboratory, or the significance of
research on the mean density of the
earth and big $G$, 1798--1898: changing
pursuits and long-term
methodological-experimental continuity 181--227
Jean Delcourt Analyse et géométrie, histoire des courbes
gauches De Clairaut \`a Darboux.
(French) [Analysis and geometry: history
of ruled curves De Clairaut to Darboux] 229--293
Tatiana Roque Stability of trajectories from Poincaré
to Birkhoff: approaching a qualitative
definition . . . . . . . . . . . . . . . 295--342
Ivahn Smadja Des méthodes d'intégration par arcs de
sections coniques aux échelles de
modules. Legendre lecteur de Landen.
(French) [Methods of integration by arcs
of conic sections for module scales.
Legendre teacher of Landen] . . . . . . 343--395
Alberto Cogliati On the genesis of the Cartan--Kähler
theory . . . . . . . . . . . . . . . . . 397--435
Chen-Pang Yeang Tubes, randomness, and Brownian motions:
or, how engineers learned to start
worrying about electronic noise . . . . 437--470
Fabio Acerbi The geometry of burning mirrors in Greek
antiquity. Analysis, heuristic,
projections, lemmatic fragmentation . . 471--497
Hamid-Reza Giahi Yazdi Al-Khwarizmi and annular solar eclipse 499--517
John P. Britton and
Christine Proust and
Steve Shnider Plimpton 322: a review and a different
perspective . . . . . . . . . . . . . . 519--566
Michael Nauenberg Proposition 10, Book 2, in the
Principia, revisited . . . . . . . . . . 567--587
Hamid-Reza Giahi Yazdi Erratum to: Al-Khwarizmi and annular
solar eclipse . . . . . . . . . . . . . 589--589
Sandro Petruccioli Complementarity before uncertainty . . . 591--624
Martin Niss History of the Lenz--Ising model
1965--1971: the role of a simple model
in understanding critical phenomena . . 625--658
Giulio Peruzzi and
Matteo Realdi The quest for the size of the universe
in early relativistic cosmology
(1917--1930) . . . . . . . . . . . . . . 659--689
Alain Bernard and
Jean Christianidis A new analytical framework for the
understanding of Diophantus's
Arithmetica I--III . . . . . . . . . . . 1--69
Miklós Rédei and
Charlotte Werndl On the history of the isomorphism
problem of dynamical systems with
special regard to von Neumann's
contribution . . . . . . . . . . . . . . 71--93
Giovanni Ferraro and
Marco Panza Lagrange's theory of analytical
functions and his ideal of purity of
method . . . . . . . . . . . . . . . . . 95--197
Helge Kragh Preludes to dark energy: zero-point
energy and vacuum speculations . . . . . 199--240
J. A. Ruffner Newton's De gravitatione: a review and
reassessment . . . . . . . . . . . . . . 241--264
Gregg De Young Further adventures of the Rome 1594
Arabic redaction of Euclid's Elements 265--294
Rüdiger Achilles and
Andrea Bonfiglioli The early proofs of the theorem of
Campbell, Baker, Hausdorff, and Dynkin 295--358
W. C. Wimsatt The analytic geometry of genetics: part
I: the structure, function, and early
evolution of Punnett squares . . . . . . 359--396
Sahotra Sarkar Complementarity and the selection of
nature reserves: algorithms and the
origins of conservation planning,
1980--1995 . . . . . . . . . . . . . . . 397--426
Rudolf Gesztelyi and
Judit Zsuga and
Adam Kemeny-Beke and
Balazs Varga and
Bela Juhasz and
others The Hill equation and the origin of
quantitative pharmacology . . . . . . . 427--438
Yaakov Zik and
Giora Hon Magnification: how to turn a spyglass
into an astronomical telescope . . . . . 439--464
Della Dumbaugh and
Joachim Schwermer The collaboration of Emil Artin and
George Whaples: Artin's mathematical
circle extends to America . . . . . . . 465--484
Jean-Marc Ginoux and
René Lozi Blondel et les oscillations
auto-entretenues. (French) [Blondel and
self-sustained oscillations] . . . . . . 485--530
Christian Marx Investigations of the coordinates in
Ptolemy's Geographike Hyphegesis Book 8 531--555
Gerhard Michael Ambrosi Pre-Euclidean geometry and Aeginetan
coin design: some further remarks . . . 557--583
Andrea Del Centina and
Alessandra Fiocca The correspondence between Sophie
Germain and Carl Friedrich Gauss . . . . 585--700
José Chabás and
Bernard R. Goldstein Displaced tables in Latin: the Tables
for the Seven Planets for 1340 . . . . . 1--42
Alex D. D. Craik ``Continuity and change'': representing
mass conservation in fluid mechanics . . 43--80
Bernard Maurey and
Jean-Pierre Tacchi Sur le théor\`eme de recouvrement de
Vitali. (French) [On Vitali's Covering
Theorem] . . . . . . . . . . . . . . . . 81--118
Lizhen Ji and
Athanase Papadopoulos Historical development of Teichmüller
theory . . . . . . . . . . . . . . . . . 119--147
A. J. Kox Hendrik Antoon Lorentz's struggle with
quantum theory . . . . . . . . . . . . . 149--170
Ciro Ciliberto and
Emma Sallent Del Colombo Pasquale del Pezzo, Duke of Caianello,
Neapolitan mathematician . . . . . . . . 171--214
Rodolfo Figari and
Alessandro Teta Emergence of classical trajectories in
quantum systems: the cloud chamber
problem in the analysis of Mott (1929) 215--234
Andreas Verdun Leonhard Euler's early lunar theories
1725--1752 . . . . . . . . . . . . . . . 235--303
Martin Frank Mathematics, technics, and courtly life
in Late Renaissance Urbino . . . . . . . 305--330
Andrew Zangwill Hartree and Thomas: the forefathers of
density functional theory . . . . . . . 331--348
Jenny Boucard Cyclotomie et formes quadratiques dans
l'oeuvre arithmétique d'Augustin-Louis
Cauchy (1829--1840) . . . . . . . . . . 349--414
J. A. Ruffner The snare of simplicity: the
Newton--Flamsteed correspondence
revisited . . . . . . . . . . . . . . . 415--455
Naoki Osada Isaac Newton's `Of Quadrature by
Ordinates' . . . . . . . . . . . . . . . 457--476
Andreas Verdun Leonhard Euler's early lunar theories
1725--1752 . . . . . . . . . . . . . . . 477--551
Richard T. W. Arthur Leibniz's syncategorematic
infinitesimals . . . . . . . . . . . . . 553--593
Pierre Lamandé Quelques conceptions de la théorie des
proportions dans des traités de la
seconde moitié du dix septi\`eme
si\`ecle. (French) [Some conceptions of
the theory of proportions in the
treatises of the second half of the 17th
Century] . . . . . . . . . . . . . . . . 595--636
Leo Corry Geometry and arithmetic in the medieval
traditions of Euclid's
\booktitleElements: a view from Book II 637--705
Jöran Friberg Geometric division problems, quadratic
equations, and recursive geometric
algorithms in Mesopotamian mathematics 1--34
Christián C. Carman Two problems in Aristarchus's treatise
on the sizes and distances of the sun
and moon . . . . . . . . . . . . . . . . 35--65
S. Mohammad Mozaffari Mu\dhyi al-Din al-Maghribi's lunar
measurements at the Maragha observatory 67--120
Tiziana Bascelli Galileo's quanti: understanding
infinitesimal magnitudes . . . . . . . . 121--136
Robert Goulding Thomas Harriot's optics, between
experiment and imagination: the case of
Mr Bulkeley's glass . . . . . . . . . . 137--178
Michael Nauenberg Orbital motion and force in Newton's
\booktitlePrincipia; the equivalence of
the descriptions in Propositions 1 and 6 179--205
Dominique Raynaud Building the stemma codicum from
geometric diagrams . . . . . . . . . . . 207--239
Larrie D. Ferreiro The mutual influence of aircraft
aerodynamics and ship hydrodynamics in
theory and experiment . . . . . . . . . 241--263
Jeremy Avigad and
Rebecca Morris The concept of ``character'' in
Dirichlet's theorem on primes in an
arithmetic progression . . . . . . . . . 265--326
Marcus Brazil and
Ronald L. Graham and
Doreen A. Thomas and
Martin Zachariasen On the history of the Euclidean Steiner
tree problem . . . . . . . . . . . . . . 327--354
S. C. Coutinho Whittaker's analytical dynamics: a
biography . . . . . . . . . . . . . . . 355--407
Curtis Wilson and
William Harper The coming-to-be of Hansen's method . . 409--497
Nicola M. R. Oswald and
Jörn J. Steuding Complex continued fractions: early work
of the brothers Adolf and Julius Hurwitz 499--528
Alberto Cogliati On Jacobi's transformation theory of
elliptic functions . . . . . . . . . . . 529--545
T. Archibald and
R. Tazzioli Integral equations between theory and
practice: the cases of Italy and France
to 1920 . . . . . . . . . . . . . . . . 547--597
Sandro Petruccioli Correspondence principle versus
Planck-type theory of the atom . . . . . 599--639
Christopher Hollings Embedding semigroups in groups: not as
simple as it might seem . . . . . . . . 641--692
Christián C. Carman and
James Evans On the epoch of the Antikythera
mechanism and its eclipse predictor . . 693--774
Andrew Zangwill The education of Walter Kohn and the
creation of density functional theory 775--848
Karine Chemla and
Biao Ma How do the earliest known mathematical
writings highlight the state's
management of grains in early imperial
China? . . . . . . . . . . . . . . . . . 1--53
Laura Rodríguez Frigyes Riesz and the emergence of
general topology . . . . . . . . . . . . 55--102
Yuzhen Guan Eclipse theory in the Jing chu li: Part
I. The adoption of lunar velocity . . . 103--123
Colin J. Rittberg How Woodin changed his mind: new
thoughts on the Continuum Hypothesis . . 125--151
Riccardo Rosso Felice Casorati's work on finite
differences and its influence on
Salvatore Pincherle . . . . . . . . . . 153--215
Daniel W. Graham On Philolaus' astronomy . . . . . . . . 217--230
Ramon Masi\`a On dating Hero of Alexandria . . . . . . 231--255
Sara Confalonieri The casus irreducibilis in Cardano's
\booktitleArs Magna and \booktitleDe
Regula Aliza . . . . . . . . . . . . . . 257--289
Nuh Aydin and
Lakhdar Hammoudi Root extraction by Al-Kashi and Stevin 291--310
N. Ciccoli Fantappi\`e's ``final relativity'' and
deformations of Lie algebras . . . . . . 311--326
Michael Nauenberg Solution to the long-standing puzzle of
Huygens' ``anomalous suspension'' . . . 327--341
S. Mohammad Mozaffari and
John M. Steele Solar and lunar observations at Istanbul
in the 1570s . . . . . . . . . . . . . . 343--362
Alberto Cogliati Variations on a theme: Clifford's
parallelism in elliptic space . . . . . 363--390
Marc Moyon and
Maryvonne Spiesser L'arithmétique des fractions dans
l'oeuvre de Fibonacci: fondements &
usages . . . . . . . . . . . . . . . . . 391--427
Alan Chalmers Robert Boyle's mechanical account of
hydrostatics and pneumatics: fluidity,
the spring of the air and their
relationship to the concept of pressure 429--454
Cameron Lazaroff-Puck Gearing up for Lagrangian dynamics . . . 455--490
Jiang-Ping Jeff Chen Trigonometric tables: explicating their
construction principles in China . . . . 491--536
Sanaa Bajri and
John Hannah and
Clemency Montelle Revisiting Al--Samaw'al's table of
binomial coefficients: Greek
inspiration, diagrammatic reasoning and
mathematical induction . . . . . . . . . 537--576
José Chabás and
Bernard R. Goldstein Ibn al-Kammad's \booktitleMuqtabis zij
and the astronomical tradition of Indian
origin in the Iberian Peninsula . . . . 577--650
Elisabetta Ulivi Masters, questions and challenges in the
abacus schools . . . . . . . . . . . . . 651--670
Andrea Del Centina Poncelet's porism: a long story of
renewed discoveries, I . . . . . . . . . 1--122
Andrea Del Centina Poncelet's porism: a long story of
renewed discoveries, II . . . . . . . . 123--173
Ramon Masi\`a A new reading of Archytas' doubling of
the cube and its implications . . . . . 175--204
Niccol\`o Guicciardini Lost in translation? Reading Newton on
inverse-cube trajectories . . . . . . . 205--241
Joan Lisa Bromberg Explaining the laser's light: classical
versus quantum electrodynamics in the
1960s . . . . . . . . . . . . . . . . . 243--266
S. Mohammad Mozaffari A forgotten solar model . . . . . . . . 267--291
Sybil G. de Clark The dimensions of the magnetic pole: a
controversy at the heart of early
dimensional analysis . . . . . . . . . . 293--324
Viktor Blåsjö In defence of geometrical algebra . . . 325--359
Michela Malpangotto The original motivation for Copernicus's
research: Albert of Brudzewo's
\booktitleCommentariolum super Theoricas
novas Georgii Purbachii . . . . . . . . 361--411
Jemma Lorenat Synthetic and analytic geometries in the
publications of Jakob Steiner and Julius
Plücker (1827--1829) . . . . . . . . . . 413--462
Jed Z. Buchwald and
Chen-Pang Yeang Kirchhoff's theory for optical
diffraction, its predecessor and
subsequent development: the resilience
of an inconsistent theory . . . . . . . 463--511
S. Mohammad Mozaffari Planetary latitudes in medieval Islamic
astronomy: an analysis of the
non-Ptolemaic latitude parameter values
in the Maragha and Samarqand
astronomical traditions . . . . . . . . 513--541
José Chabás An analysis of the Tabulae magistrales
by Giovanni Bianchini . . . . . . . . . 543--552
Giuseppe Iurato and
Giuseppe Ruta On the role of virtual work in
Levi-Civita's parallel transport . . . . 553--565
Andrea Del Centina On Kepler's system of conics in
\booktitleAstronomiae pars optica . . . 567--589
Vincenzo De Risi The development of Euclidean axiomatics 591--676
Giovanni Capobianco and
Maria Rosaria Enea and
Giovanni Ferraro Geometry and analysis in Euler's
integral calculus . . . . . . . . . . . 1--38
François Lê Alfred Clebsch's ``Geometrical
Clothing'' of the theory of the quintic
equation . . . . . . . . . . . . . . . . 39--70
Bernard R. Goldstein and
José Chabás Analysis of the astronomical tables for
1340 compiled by Immanuel ben Jacob
Bonfils . . . . . . . . . . . . . . . . 71--108
Jip van Besouw The wedge and the vis viva
controversy: how concepts of force
influenced the practice of early
eighteenth-century mechanics . . . . . . 109--156
David Marshall Miller The Parallelogram Rule from
Pseudo-Aristotle to Newton . . . . . . . 157--191
Christián C. Carman Martianus Capella's calculation of the
size of the Moon . . . . . . . . . . . . 193--210
C. Philipp E. Nothaft Criticism of trepidation models and
advocacy of uniform precession in
medieval Latin astronomy . . . . . . . . 211--244
Gert Schubring Searches for the origins of the
epistemological concept of model in
mathematics . . . . . . . . . . . . . . 245--278
Steven Shnider Britton's theory of the creation of
Column $ \Phi $ in Babylonian System A
lunar theory . . . . . . . . . . . . . . 279--318
Athanase Papadopoulos Nicolas-Auguste Tissot: a link between
cartography and quasiconformal theory 319--336
Yaakov Zik and
Giora Hon History of science and science combined:
solving a historical problem in optics
--- the case of Galileo and his
telescope . . . . . . . . . . . . . . . 337--344
Nicola M. R. Oswald On a relation between modular functions
and Dirichlet series: found in the
estate of Adolf Hurwitz . . . . . . . . 345--361
Calin Galeriu Electric charge in hyperbolic motion:
the early history . . . . . . . . . . . 363--378
Dirk Grupe Stephen of Pisa's theory of the
oscillating deferents of the inner
planets (1h. 12th C.) . . . . . . . . . 379--407
Christopher D. Hollings `Nobody could possibly misunderstand
what a group is': a study in early
twentieth-century group axiomatics . . . 409--481
Gerd Graßhoff and
Florian Mittenhuber Of paths and places: the origin of
Ptolemy's Geography . . . . . . . . . . 483--508
David Aubin Ballistics, fluid mechanics, and air
resistance at Gâvre, 1829--1915 . . . . . 509--542
Marie Anglade and
Jean-Yves Briend La notion d'involution dans le Brouillon
Project de Girard Desargues. (French)
[The notion of involution in the
Brouillon Project of Girard Desargues] 543--588
Christián C. Carman The first Copernican was Copernicus: the
difference between Pre--Copernican and
Copernican heliocentrism . . . . . . . . 1--20
Bernard R. Goldstein and
José Chabás New evidence on Abraham Zacut's
astronomical tables . . . . . . . . . . 21--62
C. Philipp E. Nothaft John Holbroke, the Tables of Cambridge,
and the ``true length of the year'': a
forgotten episode in fifteenth-century
astronomy . . . . . . . . . . . . . . . 63--88
Hamid-Reza Giahi Yazdi The mysterious table of lunar crescent
visibility attributed to Al-B\=\irun\=\i
and \dHabash Al-\dHasib's contribution 89--98
J. Climent Vidal and
J. Soliveres Tur The modernity of Dedekind's
anticipations contained in What are
numbers and what are they good for? . . 99--141
J. Climent Vidal and
J. Soliveres Tur Correction to: The modernity of
Dedekind's anticipations contained in
What are numbers and what are they good
for? . . . . . . . . . . . . . . . . . . 143--143
Mathieu Ossendrijver Bisecting the trapezoid: tracing the
origins of a Babylonian computation of
Jupiter's motion . . . . . . . . . . . . 145--189
S. Mohammad Mozaffari An analysis of medieval solar theories 191--243
Jeffrey A. Oaks François Vi\`ete's revolution in algebra 245--302
Sara Confalonieri A further analysis of Cardano's main
tool in the \booktitleDe Regula Aliza:
on the origins of the splittings . . . . 303--352
Nathan Sidoli The concept of given in Greek
mathematics . . . . . . . . . . . . . . 353--402
Nathan Sidoli Uses of construction in problems and
theorems in Euclid's \booktitleElements
I--VI . . . . . . . . . . . . . . . . . 403--452
Andrea Del Centina and
Alessandra Fiocca ``A masterly though neglected work'',
Boscovich's treatise on conic sections 453--495
Robert Goulding Binocular vision and image location
before Kepler . . . . . . . . . . . . . 497--546
Glen Van Brummelen The end of an error: Bianchini,
Regiomontanus, and the tabulation of
stellar coordinates . . . . . . . . . . 547--563
Mustafa Yilmaz and
Ibrahim Tiryakio\uglu The astronomical orientation of the
historical Grand mosques in Anatolia
(Turkey) . . . . . . . . . . . . . . . . 565--590
S. Mohammad Mozaffari Astronomical observations at the Maragha
observatory in the 1260s--1270s . . . . 591--641
Teije de Jong A study of Babylonian planetary theory
I. The outer planets . . . . . . . . . . 1--37
Christián C. Carman and
Gonzalo L. Recio Ptolemaic planetary models and Kepler's
laws . . . . . . . . . . . . . . . . . . 39--124
Daniel Jon Mitchell ``The Etherealization of Common Sense?''
Arithmetical and Algebraic Modes of
Intelligibility in Late Victorian
Mathematics of Measurement . . . . . . . 125--180
Daniel Jon Mitchell Correction to: ''The etherealization of
common sense?'' Arithmetical and
algebraic modes of intelligibility in
late Victorian mathematics of
measurement . . . . . . . . . . . . . . 181--181
Jöran Friberg Three thousand years of sexagesimal
numbers in Mesopotamian mathematical
texts . . . . . . . . . . . . . . . . . 183--216
F. Acerbi There is no consequentia mirabilis in
Greek mathematics . . . . . . . . . . . 217--242
Roy Wagner and
Samuel Hunziker Jost Bürgi's methods of calculating
sines, and possible transmission from
India . . . . . . . . . . . . . . . . . 243--260
Paolo Bussotti Michel Chasles' foundational programme
for geometry until the publication of
his \booktitleAperçu historique . . . . . 261--308
Teije de Jong A study of Babylonian planetary theory
II. The planet Venus . . . . . . . . . . 309--333
José Chabás and
Bernard R. Goldstein The medieval Moon in a matrix: double
argument tables for lunar motion . . . . 335--359
Norman Biggs Thomas Harriot on the coinage of England 361--383
Marie Anglade and
Jean-Yves Briend Le diam\`etre et la traversale: dans
l'atelier de Girard Desargues. (French)
[The diameter and the cross: in the
workshop of Girard Desargues] . . . . . 385--426
Sébastien Gauthier and
François Lê On the youthful writings of Louis J.
Mordell on the Diophantine equation $
y^2 - k = x^3 $ . . . . . . . . . . . . 427--468
Paul Iversen and
Alexander Jones The Back Plate Inscription and eclipse
scheme of the Antikythera Mechanism
revisited . . . . . . . . . . . . . . . 469--511
Paul Iversen and
Alexander Jones Correction to: The Back Plate
Inscription and eclipse scheme of the
Antikythera Mechanism revisited . . . . 513--516
S. Mohammad Mozaffari Ibn al-Fahhad and the Great Conjunction
of 1166 AD . . . . . . . . . . . . . . . 517--549
Dominique Raynaud and
Samuel Gessner and
Bernardo Mota Andal\`o di Negro's \booktitleDe
compositione astrolabii: a critical
edition with English translation and
notes . . . . . . . . . . . . . . . . . 551--617
James Evans and
Christián C. Carman Babylonian solar theory on the
Antikythera mechanism . . . . . . . . . 619--659
Olivier Darrigol Deducing Newton's second law from
relativity principles: a forgotten
history . . . . . . . . . . . . . . . . 1--43
Carlos Alberto Cardona Suárez and
Juliana Gutiérrez Valderrama The law of refraction and Kepler's
heuristics . . . . . . . . . . . . . . . 45--75
Ivan Netuka Lebesgue's criticism of Carl Neumann's
method in potential theory . . . . . . . 77--108
Frédéric Jaëck What were the genuine Banach spaces in
1922? Reflection on axiomatisation and
progression of the mathematical thought 109--129
Cédric Vergnerie Une controverse entre Émile Picard et
Leopold Kronecker. (French) [A
controversy between Émile Picard and
Leopold Kronecker] . . . . . . . . . . . 131--164
Hamid-Reza Giahi Yazdi The Jalali Calendar: the enigma of its
radix date . . . . . . . . . . . . . . . 165--182
Bruce Pourciau The \booktitlePrincipia's second law (as
Newton understood it) from Galileo to
Laplace . . . . . . . . . . . . . . . . 183--242
John Steele A proto-Normal Star Almanac dating to
the reign of Artaxerxes III: BM 65156 243--253
Andrea Del Centina and
Alessandra Fiocca Borelli's edition of books V-VII of
Apollonius's \booktitleConics, and Lemma
12 in Newton's \booktitlePrincipia . . . 255--279
Michael Friedman How to notate a crossing of strings? On
Modesto Ded\`o's notation of braids . . 281--312
Andrea Bréard and
Constance A. Cook Cracking bones and numbers: solving the
enigma of numerical sequences on ancient
Chinese artifacts . . . . . . . . . . . 313--343
Zhu Yiwen On Qin Jiushao's writing system . . . . 345--379
Lizhen Ji and
Chang Wang Poincaré's stated motivations for
topology . . . . . . . . . . . . . . . . 381--400
David Rabouin and
Richard T. W. Arthur Leibniz's syncategorematic
infinitesimals II: their existence,
their use and their role in the
justification of the differential
calculus . . . . . . . . . . . . . . . . 401--443
Dominique Raynaud Mathématiques et architecture: le tracé de
l'entasis par Nicolas--François Blondel 445--468
Andrea Del Centina Pascal's mystic hexagram, and a
conjectural restoration of his lost
treatise on conic sections . . . . . . . 469--521
Vladimir Dragovi\'c and
Irina Goryuchkina Polygons of Petrovi\'c and Fine,
algebraic ODEs, and contemporary
mathematics . . . . . . . . . . . . . . 523--564
Christián C. Carman Tycho Brahe's \booktitleCalculi ad
Corrigenda Elementa Orbitae Saturni and
the technical aspects of his planetary
model of Saturn . . . . . . . . . . . . 565--586
Teije de Jong and
Hermann Hunger Babylonian observations of a unique
planetary configuration . . . . . . . . 587--603
Lis Brack-Bernsen Babylonian astronomy: a new
understanding of column $\Phi$ . . . . . 605--640
G. A. Kyriazis On Peirce's 1878 article `The
probability of induction': a
conceptualistic appraisal . . . . . . . 1--20
Christian Marx On the making of Ptolemy's star catalog 21--42
Kenji Iohara and
Philippe Malbos Maurice Janet's algorithms on systems of
linear partial differential equations 43--81
Molly Riley Knoedler and
Julianna C. Kostas and
Caroline Mary Hogan and
Harper Kerkhoff and
Chad M. Topaz An unpublished manuscript of John von
Neumann on shock waves in boostered
detonations: historical context and
mathematical analysis . . . . . . . . . 83--108
Glen Van Brummelen Before the end of an error: Giovanni
Bianchini's original flawed treatise on
the conversion of stellar coordinates 109--124
Jed Buchwald and
Chen-Pang Yeang and
Noah Stemeroff and
Jenifer Barton and
Quinn Harrington What Heinrich Hertz discovered about
electric waves in 1887--1888 . . . . . . 125--171
Jed Buchwald and
Chen-Pang Yeang and
Noah Stemeroff and
Jenifer Barton and
Quinn Harrington Correction to: What Heinrich Hertz
discovered about electric waves in
1887-1888 . . . . . . . . . . . . . . . 173--173
Photis Dais Impact of Gibbs' and Duhem's approaches
to thermodynamics on the development of
chemical thermodynamics . . . . . . . . 175--248
Michael Eckert Pipe flow: a gateway to turbulence . . . 249--282
Gonzalo Gimeno and
Mercedes Xipell and
Mari\`a Baig Operator calculus: the lost formulation
of quantum mechanics . . . . . . . . . . 283--322
Hao Dong Hobbes's model of refraction and
derivation of the sine law . . . . . . . 323--348
Jeanette C. Fincke and
Wayne Horowitz and
Eshbal Ratzon BM 76829: a small astronomical fragment
with important implications for the Late
Babylonian Astronomy and the
Astronomical Book of Enoch . . . . . . . 349--368
Alessio Rocci Back to the roots of vector and tensor
calculus: Heaviside versus Gibbs . . . . 369--413
J. M. Steele and
E. L. Meszaros A study of Babylonian records of
planetary stations . . . . . . . . . . . 415--438
Christián C. Carman The gravitational influence of Jupiter
on the Ptolemaic value for the
eccentricity of Saturn . . . . . . . . . 439--454
Klaus Viertel The development of the concept of
uniform convergence in Karl
Weierstrass's lectures and publications
between 1861 and 1886 . . . . . . . . . 455--490
Teije de Jong A study of Babylonian planetary theory
III. The planet Mercury . . . . . . . . 491--522
Tilman Sauer and
Tobias Schütz Einstein on involutions in projective
geometry . . . . . . . . . . . . . . . . 523--555
Francisco Gómez-García and
Pedro J. Herrero-Piñeyro and
Antonio Mellado-Romero The six books of Diophantus'
\booktitleArithmetic increased and
reduced to specious: the lost manuscript
of Jacques Ozanam (1640--1718) . . . . . 557--611
Oscar M. Esquisabel and
Federico Raffo Quintana Fiction, possibility and impossibility:
three kinds of mathematical fictions in
Leibniz's work . . . . . . . . . . . . . 613--647
Eduardo N. Giovannini David Hilbert and the foundations of the
theory of plane area . . . . . . . . . . 649--698
Jean-Yves Briend Mathématiques en perspective: Desargues,
la Hire, le Po\^\ivre . . . . . . . . . 699--736
John Steele An alternative interpretation of BM
76829: astrological schemes for length
of life and parts of the body . . . . . 1--14
Alberto Cogliati Vitali's generalized absolute
differential calculus . . . . . . . . . 15--43
Andrea Del Centina Carnot's theory of transversals and its
applications by Servois and Brianchon:
the awakening of synthetic geometry in
France . . . . . . . . . . . . . . . . . 45--128
Argante Ciocci Federico Commandino and the Latin
edition of Pappus' \booktitleCollection 129--151
Paul T. Keyser The Archimedean `sambuke' of Damis in
Biton . . . . . . . . . . . . . . . . . 153--172
Marie Anglade and
Jean-Yves Briend Nombrils, bruslans, autrement foyerz: la
géométrie projective en action dans le
\emphBrouillon Project de Girard
Desargues . . . . . . . . . . . . . . . 173--206
Sylvio R. Bistafa Euler first theory of resonance . . . . 207--221
Lizhen Ji and
Chang Wang Poincaré's works leading to the Poincaré
Conjecture . . . . . . . . . . . . . . . 223--260
Minghui Ma and
Ahti-Veikko Pietarinen Peirce's Dragon-Head Logic (R 501, 1901) 261--317
Irina Tupikova A common-sense approach to the problem
of the itinerary stadion . . . . . . . . 319--361
Andrea Del Centina Brianchon and Poncelet's joint memoir,
the nine-point circle, and beyond . . . 363--390
John B. Little The eclectic content and sources of
Clavius's \booktitleGeometria Practica 391--424
Jan R. Magnus Gauss on least-squares and
maximum-likelihood estimation . . . . . 425--430
Henning Heller Felix Klein's projective representations
of the groups $ S_6 $ and $ A_7 $ . . . 431--470
Riccardo Bellé and
Beatrice Sisana Galileo Galilei and the centers of
gravity of solids: a reconstruction
based on a newly discovered version of
the conical frustum contained in
manuscript UCLA 170/624 . . . . . . . . 471--511
S. Mohammad Mozaffari A mechanical concentric solar model in
Khazini's \booktitleMu`tabar zij . . . . 513--529
Markus Ehberger ``The language of Dirac's theory of
radiation'': the inception and initial
reception of a tool for the quantum
field theorist . . . . . . . . . . . . . 531--571
Andrea Del Centina Desargues's concepts of involution and
transversal, their origin, and possible
sources of inspiration . . . . . . . . . 573--622
Alexander S. Blum Einstein's second-biggest blunder: the
mistake in the 1936 gravitational-wave
manuscript of Albert Einstein and Nathan
Rosen . . . . . . . . . . . . . . . . . 623--632
Argante Ciocci Federico Commandino and his Latin
edition of Aristarchus's \booktitleOn
the Sizes and Distances of the Sun and
the Moon . . . . . . . . . . . . . . . . 1--23
Eric-Jan Wagenmakers and
Alexander Ly History and nature of the
Jeffreys--Lindley paradox . . . . . . . 25--72
Helge Kragh A terminological history of early
elementary particle physics . . . . . . 73--120
Markus Ehberger Correction to: ``The language of Dirac's
theory of radiation'': the inception and
initial reception of a tool for the
quantum field theorist . . . . . . . . . 121--122
Michael Friedman and
David Garber On fluidity of the textual transmission
in Abraham bar Hiyya's
\booktitle\dHibbur ha-Meshi\dhah
ve-ha-Tishboret . . . . . . . . . . . . 123--174
Bernard R. Goldstein and
José Chabás Joseph Ibn Waqar and the treatment of
retrograde motion in the Middle Ages . . 175--199
Giulio Peruzzi and
Valentina Roberti Helmholtz and the geometry of color
space: gestation and development of
Helmholtz's line element . . . . . . . . 201--220
Victor Gysembergh and
Alexander Jones and
Emanuel Zingg and
Pascal Cotte and
Salvatore Apicella Ptolemy's treatise on the meteoroscope
recovered . . . . . . . . . . . . . . . 221--240
Craig Fraser and
Michiyo Nakane Canonical transformations from Jacobi to
Whittaker . . . . . . . . . . . . . . . 241--343
Daniele Macuglia SHAKE and the exact constraint
satisfaction of the dynamics of
semi-rigid molecules in Cartesian
coordinates, 1973--1977 . . . . . . . . 345--371
L. D. Kay Felix Klein, Sophus Lie, contact
transformations, and connexes . . . . . 373--391
Argante Ciocci Federico Commandino and the Latin
edition of Apollonius's \booktitleConics
(1566) . . . . . . . . . . . . . . . . . 393--421
Francesca Schironi Eudoxus' simultaneous risings and
settings . . . . . . . . . . . . . . . . 423--441
Jeremy Gray and
Joshua L. Cherry and
Eric-Jan Wagenmakers and
Alexander Ly The Jeffreys--Lindley paradox: an
exchange . . . . . . . . . . . . . . . . 443--449
Henry Mendell Hero and the tradition of the circle
segment . . . . . . . . . . . . . . . . 451--499
John Steele and
Teije de Jong An early system A-type scheme for Saturn
from Babylon . . . . . . . . . . . . . . 501--535
C. Philipp E. Nothaft Measurements of altitude and geographic
latitude in Latin astronomy, 1100--1300 537--577
João Caramalho Domingues Geometry and analysis in Anastácio da
Cunha's calculus . . . . . . . . . . . . 579--600
Diego Rybski and
Antonio Ciccone Auerbach, Lotka, and Zipf: pioneers of
power-law city-size distributions . . . 601--613
Valentina Roberti and
Giulio Peruzzi The Helmholtz legacy in color metrics:
Schrödinger's color theory . . . . . . . 615--635
Ian Stewart Galois and the simple group of order 60 1--28
C. Philipp E. Nothaft Geographic longitude in Latin Europe
during the twelfth and thirteenth
centuries . . . . . . . . . . . . . . . 29--65
Bernard R. Goldstein and
José Chabás Tables for the radii of the Sun, the
Moon, and the shadow from John of
Gmunden to Longomontanus . . . . . . . . 67--86
Franco Cardin and
Rossana Tazzioli Levi-Civita simplifies Einstein. The
Ricci rotation coefficients and unified
field theories . . . . . . . . . . . . . 87--126
Michael Eckert The efflux problem: how hydraulics
became divorced from hydrodynamics . . . 127--152
Yaakov Zik and
Giora Hon Francesco Fontana (1580--1656) from
practice to rules of calculation of lens
systems . . . . . . . . . . . . . . . . 153--182
Laure Miolo and
Stefan Zieme Lewis Caerleon and the equation of time:
tabular astronomical practices in late
fifteenth-century England . . . . . . . 183--243