@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-AP = "Academic Press"}
@String{pub-AP:adr = "New York, USA"}
@String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr = "Reading, MA, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"{a}}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-BROOKS-COLE = "Brooks\slash Cole Publishing Co."}
@String{pub-BROOKS-COLE:adr = "Pacific Grove, CA, USA"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
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@String{pub-DUXBURY = "Duxbury Press"}
@String{pub-DUXBURY:adr = "Belmont, CA, USA; Pacific Grove, CA, USA"}
@String{pub-DUXBURY-PRESS = "Duxbury Press"}
@String{pub-DUXBURY-PRESS:adr = "North Scituate, MA, USA"}
@String{pub-KLUWER = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht,
The Netherlands"}
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@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
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@String{pub-ORA-MEDIA:adr = "1005 Gravenstein Highway North,
Sebastopol, CA 95472, USA"}
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@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Upper Saddle River, NJ 07458, USA"}
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@String{pub-PLENUM:adr = "New York, NY, USA; London, UK"}
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@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{pub-VAN-NOSTRAND-REINHOLD = "Van Nostrand Reinhold"}
@String{pub-VAN-NOSTRAND-REINHOLD:adr = "New York, NY, USA"}
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@String{pub-WILEY:adr = "New York, NY, USA; London, UK; Sydney,
Australia"}
@String{pub-WILEY-INTERSCIENCE = "Wiley-In{\-}ter{\-}sci{\-}ence"}
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@String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
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@Book{Adler:1998:MDL,
author = "Frederick R. Adler",
title = "Modeling the Dynamics of Life: Calculus and
Probability for Life Scientists",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xvi + 784",
year = "1998",
ISBN = "0-534-34816-5",
ISBN-13 = "978-0-534-34816-8",
LCCN = "QA303 .A367 1998",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Adler:2005:MDL,
author = "Frederick R. Adler",
title = "Modeling the Dynamics of Life: Calculus and
Probability for Life Scientists",
publisher = "Thomson Brooks/Cole",
address = "Belmont, CA, USA",
edition = "Second",
pages = "xx + 876, b-2, i + 6",
year = "2005",
ISBN = "0-534-40486-3",
ISBN-13 = "978-0-534-40486-4",
LCCN = "QA303.2 .A35 2005",
bibdate = "Fri Dec 8 07:17:16 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy1103/2004111283-b.html;
http://www.loc.gov/catdir/enhancements/fy1103/2004111283-d.html;
http://www.loc.gov/catdir/enhancements/fy1212/2004111283-t.html",
abstract = "Understand the role of mathematics in biology with
\booktitle{Modeling the Dynamics of Life: Calculus and
Probability for Life Scientists} with accompanying
technology! Designed to demonstrate the importance of
mathematics in breakthroughs in epidemiology, genetics,
statistics, physiology, and other biological areas,
this mathematics text provides you with the tools you
need to succeed. The accompanying iLrn testing makes
studying easy by allowing you to work with real math
notation in real time and providing instant analysis
and feedback. Modeling problems, review problems, and
over 100 graphing calculator or computer exercises help
you visualize and conceptualize key concepts.",
acknowledgement = ack-nhfb,
subject = "Calculus; Probabilities; Life sciences; Mathematics",
tableofcontents = "Part I: Discrete-Time Dynamical Systems \\
1. Biology and Dynamics \\
Growth: Models of Malaria \\
Maintenance: Models of Neurons \\
Replication: Models of Genetics \\
Types of Dynamical Systems \\
2. Variables and Functions \\
Describing Measurements with Variables, Parameters and
Graphs \\
Describing Relations Between Measurements with
Functions \\
Combining Functions \\
3. Units and Dimensions \\
Converting Between Units \\
Translating Between Dimensions \\
Checking: Dimensions and Estimation \\
4. Linear Functions and their Graphs \\
Proportional Relations \\
Linear Functions and the Equation of a Line \\
Finding Equations and Graphing Lines \\
Solving Equations Involving Lines \\
Finding Inverse Functions \\
5. Discrete-Time Dynamical Systems \\
Discrete-time Dynamical Systems and Updating Functions
\\
Manipulating Updating Functions \\
Discrete-Time Dynamical Systems: Units and Dimensions
\\
Solutions \\
6. Analysis of Discrete-Tie Dynamical Systems \\
Cobwebbing: A Graphical Solution Technique \\
Equilibria: Graphical Approach \\
Equilibria: Algebraic Approach \\
7. Solutions and Exponential Functions \\
Bacterial Population Growth in General \\
Laws of Exponents and Logs \\
Expressing Results with Exponentials \\
8. Oscillations and Trigonometry \\
Sine and Cosine: A Review \\
Describing Oscillations with the Cosine \\
More Complicated Shapes \\
9. A Model of Gas Exchange in the Lung \\
A Model of the Lungs \\
The Lung System in General \\
Lung Dynamics with Absorption \\
10. An Example of Nonlinear Dynamics \\
A Model of Selection \\
The Discrete-Time Dynamical System and Equilibria \\
Stable and Unstable Equilibria \\
11. Excitable Systems I: The Heart \\
A Simple Heart \\
Second Degree Block \\
The Wenckeback Phenomenon \\
Part II: Limits And Derivatives \\
1. Introduction to Derivatives \\
The Average Rate of Change \\
Instantaneous Rates of Change \\
Limits and Derivatives \\
Differential Equations: A Preview \\
2. Limits \\
Limits of Functions \\
Left and Right-Hand Limits \\
Properties of Limits \\
Infinite Limits \\
3. Continuity \\
Continuous Functions \\
Input and Output Tolerances \\
Hysteresis \\
4. Computing Derivatives \\
Differentiable Functions \\
The Derivative of a Linear Function \\
A Quadratic Function \\
5. Derivatives of Sums, Powers, and Polynomials \\
The Sum Rule \\
Derivatives of Power Functions \\
Derivatives of Polynomials \\
6. Derivatives of Products and Quotients \\
The Product Rule \\
Special Cases and Examples \\
The Quotient Rule \\
7. The Second Derivative \\
The Second Derivative \\
Using the Second Derivative for Graphing \\
Acceleration \\
8. Exponentials and Logarithms \\
The Exponential Function \\
The Natural Logarithm \\
Applications \\
9. The Chain Rule \\
The Derivative of a Composite Function \\
Derivatives of Inverse Functions \\
Applications \\
10. Derivatives of Trigonometric Functions \\
Deriving the Derivatives of Sine and Cosine \\
Other Trigonometric Functions \\
Applications \\
Part III: Derivatives And Dynamical Systems \\
1. Stability and the Derivative \\
Motivation \\
Stability and the Slope \\
Evaluating Stability with the Derivative \\
2. More Complex Dynamics \\
The Logistic Dynamical System \\
Qualitative Dynamical Systems \\
Analysis of the Logistic Dynamical System \\
3. Maximization \\
Minima and Maxima \\
Maximizing Food Intake Rate \\
Maximizing Fish Harvest \\
4. Reasoning About Functions \\
The Intermediate Value Theorem \\
Maximization: The Extreme Value Theorem \\
Rolle's Theorem and the Mean Value Theorem \\
5. Limits at Infinity \\
The Behavior of Functions at Infinity \\
Application to Absorption Functions \\
Limits of Sequences \\
6. Leading Behavior and l'H{\^o}pital's Rule \\
Leading Behavior of Functions at Infinity \\
Leading Behavior of Functions at 0. The Method of
Matched Leading Behaviors \\
L'H{\^o}pital's Rule \\
7. Approximating Functions \\
The Tangent and Secant Lines \\
Quadratic Approximation \\
Taylor Polynomials \\
8. Newton's Method \\
Finding the Equilibrium \\
Newton's Method \\
Why Newton's Method Works and When it Fails \\
9. Panting and Deep Breathing \\
Breathing at Different Rates \\
Deep Breathing \\
Panting \\
Intermediate Optimum \\
Part IV: Differential Equations, Integrals, and Their
Applications \\
1. Differential Equations \\
Differential Equations: Examples and Terminology \\
Graphical Solution of Pure-Time Differential Equations
\\
Euler's Method: Pure-Time \\
2. Antiderivatives and Indefinite Integrals \\
Pure-Time Differential Equations \\
Rules for Antiderivatives \\
Solving Polynomial Differential Equations \\
3. Special Functions, Substitution, and Parts \\
Integrals of Special Functions \\
The Chain Rule and Integration \\
Using Substitution to Eliminate Constants \\
4. Integrals and Sums \\
Approximating Integrals with Sums \\
Approximating Integrals in General \\
The Definite Integral \\
5. Definite and Indefinite Integrals \\
The Fundamental Theorem of Calculus \\
The Summation Property of Definite Integral \\
Proof of the Fundamental Theorem of Calculus \\
6. Applications of Integrals \\
Integrals and Areas \\
Integrals and Averages \\
Integrals and Mass \\
7. Improper Integrals \\
Infinite Limits of Integration \\
Improper Integrals: Examples \\
Infinite Integrands \\
Part V: Autonomous Differential Equations \\
1. Autonomous Differential Equations \\
Review of Autonomous Differential Equations \\
Newton's Law of Cooling \\
Diffusion Across a Membrane \\
A Continuous Time Model of Competition \\
2. The Phase--Line Diagram \\
Equilibria \\
Display of Differential Equations \\
3. Stable and Unstable Equilibria \\
Recognizing Stable and Unstable Equilibria \\
Applications of the Stability Theorem \\
A Model of a Disease \\
4. Solving Autonomous Equations \\
Separation of Variables \\
Pure-Time Equations Revisited \\
Applications of Separation of Variables \\
5. Two Dimensional Equations \\
Predator--Prey Dynamics \\
Newton's Law of Cooling \\
Euler's Method \\
6. The Phase-Plane \\
Equilibria and Nullclines: Predator--Prey Equations \\
Equilibria and Nullclines: Competition Equations \\
Equilibria and Nullclines: Newton's Law of Cooling \\
7. Solutions in the Phase-Plane \\
Euler's Method in the Phase-Plane \\
Direction Arrows: Predator--Prey Equations \\
Direction Arrows for the Competition Equations \\
Directions Arrows for newton's Law of Cooling \\
8. The Dynamics of a Neuron \\
A Mathematician's View of a Neuron \\
The Mathematics of Sodium Channels \\
The Mathematics of Sodium Channel Blocking \\
The FitzHugh--Nagumo Equations \\
Weak Channel Blocking Mechanism \\
The Effects of Constant Applied Current \\
Part VI: Probability Theory and Statistics \\
1. Introduction to Probabilistic Models \\
Probability and Statistics \\
Stochastic Population Growth: Stochastic Reproduction
\\
Stochastic Population Growth: Stochastic Immigration
\\
Markov Chains \\
2. Stochastic Models of Diffusion and Genetics \\
Stochastic Diffusion \\
The Genetics of Inbreeding \\
The Dynamics of Height \\
Blending Inheritance \\
3. Probability Theory \\
Sample Spaces and Events \\
Set Theory \\
Assigning Probabilities to Events \\
Exercises \\
4. Conditional Probability \\
Conditional Probability \\
The Law of Total Probability \\
Bayes' Theorem and the Rare Disease Example \\
5. Independence and Markov Chains \\
Independence \\
The Multiplication Rule for Independent Events \\
Markov Chains and Conditional Probability \\
6. Displaying Probabilities \\
Probability and Cumulative Distributions \\
The Probability Density Function: Derivation \\
Using the Probability Density Function \\
The Cumulative Distribution Function \\
7. Random Variables \\
Types of Random Variable \\
Expectation: Discrete Case \\
Expectation: Continuous Case \\
8. Descriptive Statistics \\
The Median \\
The Mode \\
The Geometric Mean \\
9. Descriptive Statistics for Spread \\
Range And Percentiles \\
Mean Absolute Deviation \\
Variance \\
The Coefficient of Variation \\
10. Supplementary Problems For Chapter 6 \\
Part VII: Probability Models \\
1. Joint Distributions \\
Joint Distributions \\
Marginal Probability Distributions \\
Joint Distributions and Conditional Distributions \\
2. Covariance and Correlation \\
Covariance \\
Correlation \\
Perfect Correlation \\
3. Sums and Products of Random Variables \\
Expectation of a Sum \\
Expectation of a Product \\
Variance of a Sum \\
4. The Binomial Distribution \\
Definition of the Binomial Distribution \\
The Mean and Variance of the Binomial Distribution \\
Computing the Binomial \\
Binomial Distribution: The General Case \\
Finding the Mode of the Binomial Distribution \\
5. Applications Of The Binomial Distribution \\
Application to Genetics \\
Application to Markov Chains \\
Applications to Diffusion \\
6. Exponential Distributions \\
The Geometric Distribution \\
The Exponential Distribution \\
7. The Poisson Distribution \\
The Poisson Process \\
The Poisson Distribution in Space \\
The Poisson and the Binomial \\
8. The Normal Distribution \\
The Normal Distribution: An Example \\
The Central Limit Theorem for Sums \\
The Central Limit Theorem for Averages \\
9. Applying the Normal Approximation \\
The Standard Normal Distribution \\
Normal Approximation of the Binomial \\
Normal Approximation of the Poisson \\
Part VIII: Introduction to Statistical Reasoning \\
1. Statistics: Estimating Parameters \\
Estimating the Binomial Proportion \\
Unbiased Estimators \\
Maximum Likelihood \\
Estimating a Rate \\
2. Confidence Limits \\
Exact Confidence Limits \\
Monte Carlo Method \\
Likelihood, Support, and Confidence Limits \\
3. Estimating the Mean \\
Estimating the Mean \\
Confidence Limits \\
Sample Variance and Standard Error \\
The $t$ Distribution \\
The Normal and the Binomial \\
4. Hypothesis Testing \\
Hypothesis Testing: Terminology \\
Design of Statistical Tests and Computation of
$P$-values \\
Computing Power \\
5. Hypothesis Testing: Normal Theory \\
Computing $P$-Values with the Normal Approximation \\
Testing with the $t$ Distribution \\
The Power of Normal Tests \\
6. Comparing Experiments \\
Unpaired Normal Distributions \\
Comparing Population Proportions \\
Applying the $t$ Distribution with Smaller Samples \\
7. Analysis of Contingency Tables and Goodness of Fit
\\
Testing Against a Known Baseline \\
Testing with Contingency Tables \\
Testing for Goodness of Fit \\
8. Hypothesis Testing with the Method of Support \\
The Method of Support: Comparison of Data with a Known
Baseline \\
Comparing Two Populations \\
Support and the Normal Distribution \\
The $G$ Test: support and Contingency Tables \\
9. Regression \\
Comparing a Linear Model with Data \\
Finding the Best Line \\
Using Linear Regression",
}
@Book{Adler:2013:MDL,
author = "Frederick R. Adler",
title = "Modeling the Dynamics of Life: Calculus and
Probability for Life Scientists",
publisher = "Brooks/Cole, Cengage Learning",
address = "Boston, MA, USA",
edition = "Third",
pages = "xx + 930, b2, i6",
year = "2013",
ISBN = "0-8400-6418-7",
ISBN-13 = "978-0-8400-6418-9",
LCCN = "QA303.2 .A35 2013",
bibdate = "Fri Dec 8 07:17:16 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy1303/2011942000-b.html;
http://www.loc.gov/catdir/enhancements/fy1303/2011942000-d.html;
http://www.loc.gov/catdir/enhancements/fy1303/2011942000-t.html",
abstract = "Understand the role of mathematics in biology with
\booktitle{Modeling the Dynamics of Life: Calculus and
Probability for Life Scientists}, Third Edition!
Designed to demonstrate the importance of mathematics
in breakthroughs in epidemiology, genetics, statistics,
physiology, and other biological areas, this
mathematics text provides you with the tools you need
to succeed. Modeling problems, review problems, and
over 100 graphing calculator or computer exercises help
you visualize and conceptualize key concepts.",
acknowledgement = ack-nhfb,
subject = "Calculus; Probabilities; Life sciences; Mathematics",
tableofcontents = "1. Introduction to Discrete-Time Dynamical Systems
\\
1.1 Biology and Dynamics \\
1.2 Variables \\
Parameters \\
and Functions in Biology \\
1.3 The Units and Dimensions of Measurements and
Functions \\
1.4 Linear Functions and Their Graphs \\
1.5 Discrete-Time Dynamical Systems \\
1.6 Analysis of Discrete-Time Dynamical Systems \\
1.7 Expressing Solutions with Exponential Functions \\
1.8 Oscillations and Trigonometry \\
1.9 A Model of Gas Exchange in the Lung \\
1.10 An Example of Nonlinear Dynamics \\
1.11 An Excitable Systems I: The Heart \\
2. Limits and Derivatives \\
2.1 Introduction to Derivatives \\
2.2 Limits \\
2.3 Continuity \\
2.4 Computing Derivatives: Linear and Quadratic
Functions \\
2.5 Derivatives of Sums \\
Powers \\
and Polynomials \\
2.6 Derivatives of Products and Quotients \\
2.7 The Second Derivative \\
Curvature \\
and Acceleration \\
2.8 Derivatives of Exponential and Logarithmic
Functions \\
2.9 The Chain Rule \\
2.10 Derivatives of Trigonometric Functions \\
3. Applications of Derivatives and Dynamical Systems
\\
3.1 Stability and the Derivative \\
3.2 More Complicated Dynamics \\
3.3 Maximization \\
3.4 Reasoning About Functions \\
3.5 Limits at Infinity \\
3.6 Leading Behavior and L'H{\^o}pital's Rule \\
3.7 Approximating Functions with Lines and Polynomials
\\
3.8 Newton's Method \\
3.9 Panting and Deep Breathing \\
4. Differential Equations \\
Integrals \\
and Their Applications \\
4.1 Differential Equations \\
4.2 Solving Pure-Time Differential Equations \\
4.3 Integration of Special Functions \\
Integration by Substitution \\
by Parts \\
and by Partial Fractions \\
4.4 Integrals and Sums \\
4.5 Definite and Indefinite Integrals \\
4.6 Applications of Integrals \\
4.7 Improper Integrals \\
5. Analysis of Autonomous Differential Equations \\
5.1 Basic Differential Equations \\
5.2 Equilibria and Display of Autonomous Differential
Equations \\
5.3 Stable and Unstable Equilibria \\
5.4 Solving Autonomous Differential Equations \\
5.5 Two Dimensional Differential Equations \\
5.6 The Phase Plane \\
5.7 Solutions in the Phase Plane \\
5.8 The Dynamics of a Neuron \\
6. Probability Theory and Descriptive Statistics \\
6.1 Introduction to Probabilistic Models \\
6.2 Stochastic Models of Diffusion and Genetics \\
6.3 Probability Theory \\
6.4 Conditional Probability \\
6.5 Independence and Markov Chains \\
6.6 Displaying Probabilities \\
6.7 Random Variables \\
6.8 Descriptive Statistics \\
6.9 Descriptive Statistics for Spread \\
7. Probability Models \\
7.1 Joint Distributions \\
7.2 Covariance and Correlation \\
7.3 Sums and Products of Random Variables \\
7.4 The Binomial Distribution \\
7.5 Applications of the Binomial Distribution \\
7.6 Waiting Times: Geometric and Exponential
Distributions \\
7.7 The Poisson Distribution \\
7.8 The Normal Distribution \\
7.9 Applying the Normal Approximation \\
8. Introduction to Statistical Reasoning \\
8.1 Statistics: Estimating Parameters \\
8.2 Confidence Limits \\
8.3 Estimating the Mean \\
8.4 Hypothesis Testing \\
8.5 Hypothesis Testing: Normal Theory \\
8.6 Comparing Experiments: Normal Theory \\
8.7 Analysis of Contingency Tables and Goodness of Fit
\\
8.8 Hypothesis Testing with the Method of Support \\
8.9 Regression.",
}
@Book{Adler:2013:UEE,
author = "Frederick R. Adler and Colby J. Tanner",
title = "Urban ecosystems: ecological principles for the built
environment",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "ix + 345",
year = "2013",
DOI = "https://doi.org/10.1017/CBO9780511981050",
ISBN = "0-521-76984-1 (hardcover), 0-521-74613-2 (paperback)",
ISBN-13 = "978-0-521-76984-6 (hardcover), 978-0-521-74613-7
(paperback)",
LCCN = "HT241 .A35 2013",
bibdate = "Fri Dec 8 07:14:32 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.cambridge.org/9780521746137",
abstract = "As humans have come to dominate the earth, the ideal
of studying and teaching ecology in pristine ecosystems
has become impossible to achieve. Our planet is now a
mosaic of ecosystems ranging from the relatively
undisturbed to the completely built, with the majority
of people living in urban environments. This accessible
introduction to the principles of urban ecology
provides students with the tools they need to
understand these increasingly important urban
ecosystems. It builds upon the themes of habitat
modification and resource use to demonstrate how
multiple ecological processes interact in cities and
how human activity initiates chains of unpredictable
unintended ecological consequences. Broad principles
are supported throughout by detailed examples from
around the world and a comprehensive list of readings
from the primary literature. Questions, exercises and
laboratories at the end of each chapter encourage
discussion, hands-on study, active learning, and
engagement with the world outside the classroom
window.",
acknowledgement = ack-nhfb,
subject = "Urban ecology (Sociology); Urban ecology (Biology)",
tableofcontents = "Preface \\
1. Urban ecosystems and the science of ecology \\
2. Urban accounting; Urban ecosystem processes \\
4. The ecology of urban organisms \\
5. Implications of urban ecology \\
Glossary \\
Bibliography \\
Index",
}
@Book{Amoros:1996:FGC,
author = "J. Amor{\'o}s and M. Burger and K. Corlette and D.
Kotschick and D. Toledo",
title = "Fundamental Groups of Compact {K{\"a}hler} Manifolds",
volume = "44",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xi + 140",
year = "1996",
ISBN = "0-8218-0498-7",
ISBN-13 = "978-0-8218-0498-8",
LCCN = "QA649 .F77 1996",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Mathematical Surveys and Monographs",
acknowledgement = ack-nhfb,
}
@Book{Beebe:2017:MFC,
author = "Nelson H. F. Beebe",
title = "The Mathematical-Function Computation Handbook:
Programming Using the {MathCW} Portable Software
Library",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxxvi + 1114",
year = "2017",
DOI = "https://doi.org/10.1007/978-3-319-64110-2",
ISBN = "3-319-64109-3 (hardcover), 3-319-64110-7 (e-book)",
ISBN-13 = "978-3-319-64109-6 (hardcover), 978-3-319-64110-2
(e-book)",
LCCN = "QA75.5-76.95",
bibdate = "Sat Jul 15 19:34:43 MDT 2017",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/axiom.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/mupad.bib;
https://www.math.utah.edu/pub/tex/bib/numana2010.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/redbooks.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
URL = "http://www.springer.com/us/book/9783319641096",
acknowledgement = ack-nhfb,
ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
tableofcontents = "List of figures / xxv \\
List of tables / xxxi \\
Quick start / xxxv \\
1: Introduction / 1 \\
1.1: Programming conventions / 2 \\
1.2: Naming conventions / 4 \\
1.3: Library contributions and coverage / 5 \\
1.4: Summary / 6 \\
2: Iterative solutions and other tools / 7 \\
2.1: Polynomials and Taylor series / 7 \\
2.2: First-order Taylor series approximation / 8 \\
2.3: Second-order Taylor series approximation / 9 \\
2.4: Another second-order Taylor series approximation /
9 \\
2.5: Convergence of second-order methods / 10 \\
2.6: Taylor series for elementary functions / 10 \\
2.7: Continued fractions / 12 \\
2.8: Summation of continued fractions / 17 \\
2.9: Asymptotic expansions / 19 \\
2.10: Series inversion / 20 \\
2.11: Summary / 22 \\
3: Polynomial approximations / 23 \\
3.1: Computation of odd series / 23 \\
3.2: Computation of even series / 25 \\
3.3: Computation of general series / 25 \\
3.4: Limitations of Cody\slash Waite polynomials / 28
\\
3.5: Polynomial fits with Maple / 32 \\
3.6: Polynomial fits with Mathematica / 33 \\
3.7: Exact polynomial coefficients / 42 \\
3.8: Cody\slash Waite rational polynomials / 43 \\
3.9: Chebyshev polynomial economization / 43 \\
3.10: Evaluating Chebyshev polynomials / 48 \\
3.11: Error compensation in Chebyshev fits / 50 \\
3.12: Improving Chebyshev fits / 51 \\
3.13: Chebyshev fits in rational form / 52 \\
3.14: Chebyshev fits with Mathematica / 56 \\
3.15: Chebyshev fits for function representation / 57
\\
3.16: Extending the library / 57 \\
3.17: Summary and further reading / 58 \\
4: Implementation issues / 61 \\
4.1: Error magnification / 61 \\
4.2: Machine representation and machine epsilon / 62
\\
4.3: IEEE 754 arithmetic / 63 \\
4.4: Evaluation order in C / 64 \\
4.5: The {\tt volatile} type qualifier / 65 \\
4.6: Rounding in floating-point arithmetic / 66 \\
4.7: Signed zero / 69 \\
4.8: Floating-point zero divide / 70 \\
4.9: Floating-point overflow / 71 \\
4.10: Integer overflow / 72 \\
4.11: Floating-point underflow / 77 \\
4.12: Subnormal numbers / 78 \\
4.13: Floating-point inexact operation / 79 \\
4.14: Floating-point invalid operation / 79 \\
4.15: Remarks on NaN tests / 80 \\
4.16: Ulps --- units in the last place / 81 \\
4.17: Fused multiply-add / 85 \\
4.18: Fused multiply-add and polynomials / 88 \\
4.19: Significance loss / 89 \\
4.20: Error handling and reporting / 89 \\
4.21: Interpreting error codes / 93 \\
4.22: C99 changes to error reporting / 94 \\
4.23: Error reporting with threads / 95 \\
4.24: Comments on error reporting / 95 \\
4.25: Testing function implementations / 96 \\
4.26: Extended data types on Hewlett--Packard HP-UX
IA-64 / 100 \\
4.27: Extensions for decimal arithmetic / 101 \\
4.28: Further reading / 103 \\
4.29: Summary / 104 \\
5: The floating-point environment / 105 \\
5.1: IEEE 754 and programming languages / 105 \\
5.2: IEEE 754 and the mathcw library / 106 \\
5.3: Exceptions and traps / 106 \\
5.4: Access to exception flags and rounding control /
107 \\
5.5: The environment access pragma / 110 \\
5.6: Implementation of exception-flag and
rounding-control access / 110 \\
5.7: Using exception flags: simple cases / 112 \\
5.8: Using rounding control / 115 \\
5.9: Additional exception flag access / 116 \\
5.10: Using exception flags: complex case / 120 \\
5.11: Access to precision control / 123 \\
5.12: Using precision control / 126 \\
5.13: Summary / 127 \\
6: Converting floating-point values to integers / 129
\\
6.1: Integer conversion in programming languages / 129
\\
6.2: Programming issues for conversions to integers /
130 \\
6.3: Hardware out-of-range conversions / 131 \\
6.4: Rounding modes and integer conversions / 132 \\
6.5: Extracting integral and fractional parts / 132 \\
6.6: Truncation functions / 135 \\
6.7: Ceiling and floor functions / 136 \\
6.8: Floating-point rounding functions with fixed
rounding / 137 \\
6.9: Floating-point rounding functions: current
rounding / 138 \\
6.10: Floating-point rounding functions without {\em
inexact\/} exception / 139 \\
6.11: Integer rounding functions with fixed rounding /
140 \\
6.12: Integer rounding functions with current rounding
/ 142 \\
6.13: Remainder / 143 \\
6.14: Why the remainder functions are hard / 144 \\
6.15: Computing {\tt fmod} / 146 \\
6.16: Computing {\tt remainder} / 148 \\
6.17: Computing {\tt remquo} / 150 \\
6.18: Computing one remainder from the other / 152 \\
6.19: Computing the remainder in nonbinary bases / 155
\\
6.20: Summary / 156 \\
7: Random numbers / 157 \\
7.1: Guidelines for random-number software / 157 \\
7.2: Creating generator seeds / 158 \\
7.3: Random floating-point values / 160 \\
7.4: Random integers from floating-point generator /
165 \\
7.5: Random integers from an integer generator / 166
\\
7.6: Random integers in ascending order / 168 \\
7.7: How random numbers are generated / 169 \\
7.8: Removing generator bias / 178 \\
7.9: Improving a poor random number generator / 178 \\
7.10: Why long periods matter / 179 \\
7.11: Inversive congruential generators / 180 \\
7.12: Inversive congruential generators, revisited /
189 \\
7.13: Distributions of random numbers / 189 \\
7.14: Other distributions / 195 \\
7.15: Testing random-number generators / 196 \\
7.16: Applications of random numbers / 202 \\
7.17: The \textsf {mathcw} random number routines / 208
\\
7.18: Summary, advice, and further reading / 214 \\
8: Roots / 215 \\
8.1: Square root / 215 \\
8.2: Hypotenuse and vector norms / 222 \\
8.3: Hypotenuse by iteration / 227 \\
8.4: Reciprocal square root / 233 \\
8.5: Cube root / 237 \\
8.6: Roots in hardware / 240 \\
8.7: Summary / 242 \\
9: Argument reduction / 243 \\
9.1: Simple argument reduction / 243 \\
9.2: Exact argument reduction / 250 \\
9.3: Implementing exact argument reduction / 253 \\
9.4: Testing argument reduction / 265 \\
9.5: Retrospective on argument reduction / 265 \\
10: Exponential and logarithm / 267 \\
10.1: Exponential functions / 267 \\
10.2: Exponential near zero / 273 \\
10.3: Logarithm functions / 282 \\
10.4: Logarithm near one / 290 \\
10.5: Exponential and logarithm in hardware / 292 \\
10.6: Compound interest and annuities / 294 \\
10.7: Summary / 298 \\
11: Trigonometric functions / 299 \\
11.1: Sine and cosine properties / 299 \\
11.2: Tangent properties / 302 \\
11.3: Argument conventions and units / 304 \\
11.4: Computing the cosine and sine / 306 \\
11.5: Computing the tangent / 310 \\
11.6: Trigonometric functions in degrees / 313 \\
11.7: Trigonometric functions in units of $ \pi $ / 315
\\
11.8: Computing the cosine and sine together / 320 \\
11.9: Inverse sine and cosine / 323 \\
11.10: Inverse tangent / 331 \\
11.11: Inverse tangent, take two / 336 \\
11.12: Trigonometric functions in hardware / 338 \\
11.13: Testing trigonometric functions / 339 \\
11.14: Retrospective on trigonometric functions / 340
\\
12: Hyperbolic functions / 341 \\
12.1: Hyperbolic functions / 341 \\
12.2: Improving the hyperbolic functions / 345 \\
12.3: Computing the hyperbolic functions together / 348
\\
12.4: Inverse hyperbolic functions / 348 \\
12.5: Hyperbolic functions in hardware / 350 \\
12.6: Summary / 352 \\
13: Pair-precision arithmetic / 353 \\
13.1: Limitations of pair-precision arithmetic / 354
\\
13.2: Design of the pair-precision software interface /
355 \\
13.3: Pair-precision initialization / 356 \\
13.4: Pair-precision evaluation / 357 \\
13.5: Pair-precision high part / 357 \\
13.6: Pair-precision low part / 357 \\
13.7: Pair-precision copy / 357 \\
13.8: Pair-precision negation / 358 \\
13.9: Pair-precision absolute value / 358 \\
13.10: Pair-precision sum / 358 \\
13.11: Splitting numbers into pair sums / 359 \\
13.12: Premature overflow in splitting / 362 \\
13.13: Pair-precision addition / 365 \\
13.14: Pair-precision subtraction / 367 \\
13.15: Pair-precision comparison / 368 \\
13.16: Pair-precision multiplication / 368 \\
13.17: Pair-precision division / 371 \\
13.18: Pair-precision square root / 373 \\
13.19: Pair-precision cube root / 377 \\
13.20: Accuracy of pair-precision arithmetic / 379 \\
13.21: Pair-precision vector sum / 384 \\
13.22: Exact vector sums / 385 \\
13.23: Pair-precision dot product / 385 \\
13.24: Pair-precision product sum / 386 \\
13.25: Pair-precision decimal arithmetic / 387 \\
13.26: Fused multiply-add with pair precision / 388 \\
13.27: Higher intermediate precision and the FMA / 393
\\
13.28: Fused multiply-add without pair precision / 395
\\
13.29: Fused multiply-add with multiple precision / 401
\\
13.30: Fused multiply-add, Boldo/\penalty
\exhyphenpenalty Melquiond style / 403 \\
13.31: Error correction in fused multiply-add / 406 \\
13.32: Retrospective on pair-precision arithmetic / 407
\\
14: Power function / 411 \\
14.1: Why the power function is hard to compute / 411
\\
14.2: Special cases for the power function / 412 \\
14.3: Integer powers / 414 \\
14.4: Integer powers, revisited / 420 \\
14.5: Outline of the power-function algorithm / 421 \\
14.6: Finding $a$ and $p$ / 423 \\
14.7: Table searching / 424 \\
14.8: Computing $\log_n(g/a)$ / 426 \\
14.9: Accuracy required for $\log_n(g/a)$ / 429 \\
14.10: Exact products / 430 \\
14.11: Computing $w$, $w_1$ and $w_2$ / 433 \\
14.12: Computing $n^{w_2}$ / 437 \\
14.13: The choice of $q$ / 438 \\
14.14: Testing the power function / 438 \\
14.15: Retrospective on the power function / 440 \\
15: Complex arithmetic primitives / 441 \\
15.1: Support macros and type definitions / 442 \\
15.2: Complex absolute value / 443 \\
15.3: Complex addition / 445 \\
15.4: Complex argument / 445 \\
15.5: Complex conjugate / 446 \\
15.6: Complex conjugation symmetry / 446 \\
15.7: Complex conversion / 448 \\
15.8: Complex copy / 448 \\
15.9: Complex division: C99 style / 449 \\
15.10: Complex division: Smith style / 451 \\
15.11: Complex division: Stewart style / 452 \\
15.12: Complex division: Priest style / 453 \\
15.13: Complex division: avoiding subtraction loss /
455 \\
15.14: Complex imaginary part / 456 \\
15.15: Complex multiplication / 456 \\
15.16: Complex multiplication: error analysis / 458 \\
15.17: Complex negation / 459 \\
15.18: Complex projection / 460 \\
15.19: Complex real part / 460 \\
15.20: Complex subtraction / 461 \\
15.21: Complex infinity test / 462 \\
15.22: Complex NaN test / 462 \\
15.23: Summary / 463 \\
16: Quadratic equations / 465 \\
16.1: Solving quadratic equations / 465 \\
16.2: Root sensitivity / 471 \\
16.3: Testing a quadratic-equation solver / 472 \\
16.4: Summary / 474 \\
17: Elementary functions in complex arithmetic / 475
\\
17.1: Research on complex elementary functions / 475
\\
17.2: Principal values / 476 \\
17.3: Branch cuts / 476 \\
17.4: Software problems with negative zeros / 478 \\
17.5: Complex elementary function tree / 479 \\
17.6: Series for complex functions / 479 \\
17.7: Complex square root / 480 \\
17.8: Complex cube root / 485 \\
17.9: Complex exponential / 487 \\
17.10: Complex exponential near zero / 492 \\
17.11: Complex logarithm / 495 \\
17.12: Complex logarithm near one / 497 \\
17.13: Complex power / 500 \\
17.14: Complex trigonometric functions / 502 \\
17.15: Complex inverse trigonometric functions / 504
\\
17.16: Complex hyperbolic functions / 509 \\
17.17: Complex inverse hyperbolic functions / 514 \\
17.18: Summary / 520 \\
18: The Greek functions: gamma, psi, and zeta / 521 \\
18.1: Gamma and log-gamma functions / 521 \\
18.2: The {\tt psi} and {\tt psiln} functions / 536 \\
18.3: Polygamma functions / 547 \\
18.4: Incomplete gamma functions / 560 \\
18.5: A Swiss diversion: Bernoulli and Euler / 568 \\
18.6: An Italian excursion: Fibonacci numbers / 575 \\
18.7: A German gem: the Riemann zeta function / 579 \\
18.8: Further reading / 590 \\
18.9: Summary / 591 \\
19: Error and probability functions / 593 \\
19.1: Error functions / 593 \\
19.2: Scaled complementary error function / 598 \\
19.3: Inverse error functions / 600 \\
19.4: Normal distribution functions and inverses / 610
\\
19.5: Summary / 617 \\
20: Elliptic integral functions / 619 \\
20.1: The arithmetic-geometric mean / 619 \\
20.2: Elliptic integral functions of the first kind /
624 \\
20.3: Elliptic integral functions of the second kind /
627 \\
20.4: Elliptic integral functions of the third kind /
630 \\
20.5: Computing $K(m)$ and $K'(m)$ / 631 \\
20.6: Computing $E(m)$ and $E'(m)$ / 637 \\
20.7: Historical algorithms for elliptic integrals /
643 \\
20.8: Auxiliary functions for elliptic integrals / 645
\\
20.9: Computing the elliptic auxiliary functions / 648
\\
20.10: Historical elliptic functions / 650 \\
20.11: Elliptic functions in software / 652 \\
20.12: Applications of elliptic auxiliary functions /
653 \\
20.13: Elementary functions from elliptic auxiliary
functions / 654 \\
20.14: Computing elementary functions via $R_C(x,y)$ /
655 \\
20.15: Jacobian elliptic functions / 657 \\
20.16: Inverses of Jacobian elliptic functions / 664
\\
20.17: The modulus and the nome / 668 \\
20.18: Jacobian theta functions / 673 \\
20.19: Logarithmic derivatives of the Jacobian theta
functions / 675 \\
20.20: Neville theta functions / 678 \\
20.21: Jacobian Eta, Theta, and Zeta functions / 679
\\
20.22: Weierstrass elliptic functions / 682 \\
20.23: Weierstrass functions by duplication / 689 \\
20.24: Complete elliptic functions, revisited / 690 \\
20.25: Summary / 691 \\
21: Bessel functions / 693 \\
21.1: Cylindrical Bessel functions / 694 \\
21.2: Behavior of $J_n(x)$ and $Y_n(x)$ / 695 \\
21.3: Properties of $J_n(z)$ and $Y_n(z)$ / 697 \\
21.4: Experiments with recurrences for $J_0(x)$ / 705
\\
21.5: Computing $J_0(x)$ and $J_1(x)$ / 707 \\
21.6: Computing $J_n(x)$ / 710 \\
21.7: Computing $Y_0(x)$ and $Y_1(x)$ / 713 \\
21.8: Computing $Y_n(x)$ / 715 \\
21.9: Improving Bessel code near zeros / 716 \\
21.10: Properties of $I_n(z)$ and $K_n(z)$ / 718 \\
21.11: Computing $I_0(x)$ and $I_1(x)$ / 724 \\
21.12: Computing $K_0(x)$ and $K_1(x)$ / 726 \\
21.13: Computing $I_n(x)$ and $K_n(x)$ / 728 \\
21.14: Properties of spherical Bessel functions / 731
\\
21.15: Computing $j_n(x)$ and $y_n(x)$ / 735 \\
21.16: Improving $j_1(x)$ and $y_1(x)$ / 740 \\
21.17: Modified spherical Bessel functions / 743 \\
21.18: Software for Bessel-function sequences / 755 \\
21.19: Retrospective on Bessel functions / 761 \\
22: Testing the library / 763 \\
22.1: Testing {\tt tgamma} and {\tt lgamma} / 765 \\
22.2: Testing {\tt psi} and {\tt psiln} / 768 \\
22.3: Testing {\tt erf} and {\tt erfc} / 768 \\
22.4: Testing cylindrical Bessel functions / 769 \\
22.5: Testing exponent/\penalty \exhyphenpenalty
significand manipulation / 769 \\
22.6: Testing inline assembly code / 769 \\
22.7: Testing with Maple / 770 \\
22.8: Testing floating-point arithmetic / 773 \\
22.9: The Berkeley Elementary Functions Test Suite /
774 \\
22.10: The AT\&T floating-point test package / 775 \\
22.11: The Antwerp test suite / 776 \\
22.12: Summary / 776 \\
23: Pair-precision elementary functions / 777 \\
23.1: Pair-precision integer power / 777 \\
23.2: Pair-precision machine epsilon / 779 \\
23.3: Pair-precision exponential / 780 \\
23.4: Pair-precision logarithm / 787 \\
23.5: Pair-precision logarithm near one / 793 \\
23.6: Pair-precision exponential near zero / 793 \\
23.7: Pair-precision base-$n$ exponentials / 795 \\
23.8: Pair-precision trigonometric functions / 796 \\
23.9: Pair-precision inverse trigonometric functions /
801 \\
23.10: Pair-precision hyperbolic functions / 804 \\
23.11: Pair-precision inverse hyperbolic functions /
808 \\
23.12: Summary / 808 \\
24: Accuracy of the Cody\slash Waite algorithms / 811
\\
25: Improving upon the Cody\slash Waite algorithms /
823 \\
25.1: The Bell Labs libraries / 823 \\
25.2: The {Cephes} library / 823 \\
25.3: The {Sun} libraries / 824 \\
25.4: Mathematical functions on EPIC / 824 \\
25.5: The GNU libraries / 825 \\
25.6: The French libraries / 825 \\
25.7: The NIST effort / 826 \\
25.8: Commercial mathematical libraries / 826 \\
25.9: Mathematical libraries for decimal arithmetic /
826 \\
25.10: Mathematical library research publications / 826
\\
25.11: Books on computing mathematical functions / 827
\\
25.12: Summary / 828 \\
26: Floating-point output / 829 \\
26.1: Output character string design issues / 830 \\
26.2: Exact output conversion / 831 \\
26.3: Hexadecimal floating-point output / 832 \\
26.4: Octal floating-point output / 850 \\
26.5: Binary floating-point output / 851 \\
26.6: Decimal floating-point output / 851 \\
26.7: Accuracy of output conversion / 865 \\
26.8: Output conversion to a general base / 865 \\
26.9: Output conversion of Infinity / 866 \\
26.10: Output conversion of NaN / 866 \\
26.11: Number-to-string conversion / 867 \\
26.12: The {\tt printf} family / 867 \\
26.13: Summary / 878 \\
27: Floating-point input / 879 \\
27.1: Binary floating-point input / 879 \\
27.2: Octal floating-point input / 894 \\
27.3: Hexadecimal floating-point input / 895 \\
27.4: Decimal floating-point input / 895 \\
27.5: Based-number input / 899 \\
27.6: General floating-point input / 900 \\
27.7: The {\tt scanf} family / 901 \\
27.8: Summary / 910 \\
A: Ada interface / 911 \\
A.1: Building the Ada interface / 911 \\
A.2: Programming the Ada interface / 912 \\
A.3: Using the Ada interface / 915 \\
B: C\# interface / 917 \\
B.1: C\# on the CLI virtual machine / 917 \\
B.2: Building the C\# interface / 918 \\
B.3: Programming the C\# interface / 920 \\
B.4: Using the C\# interface / 922 \\
C: C++ interface / 923 \\
C.1: Building the C++ interface / 923 \\
C.2: Programming the C++ interface / 924 \\
C.3: Using the C++ interface / 925 \\
D: Decimal arithmetic / 927 \\
D.1: Why we need decimal floating-point arithmetic /
927 \\
D.2: Decimal floating-point arithmetic design issues /
928 \\
D.3: How decimal and binary arithmetic differ / 931 \\
D.4: Initialization of decimal floating-point storage /
935 \\
D.5: The {\tt <decfloat.h>} header file / 936 \\
D.6: Rounding in decimal arithmetic / 936 \\
D.7: Exact scaling in decimal arithmetic / 937 \\
E: Errata in the Cody\slash Waite book / 939 \\
F: Fortran interface / 941 \\
F.1: Building the Fortran interface / 943 \\
F.2: Programming the Fortran interface / 944 \\
F.3: Using the Fortran interface / 945 \\
H: Historical floating-point architectures / 947 \\
H.1: CDC family / 949 \\
H.2: Cray family / 952 \\
H.3: DEC PDP-10 / 953 \\
H.4: DEC PDP-11 and VAX / 956 \\
H.5: General Electric 600 series / 958 \\
H.6: IBM family / 959 \\
H.7: Lawrence Livermore S-1 Mark IIA / 965 \\
H.8: Unusual floating-point systems / 966 \\
H.9: Historical retrospective / 967 \\
I: Integer arithmetic / 969 \\
I.1: Memory addressing and integers / 971 \\
I.2: Representations of signed integers / 971 \\
I.3: Parity testing / 975 \\
I.4: Sign testing / 975 \\
I.5: Arithmetic exceptions / 975 \\
I.6: Notations for binary numbers / 977 \\
I.7: Summary / 978 \\
J: Java interface / 979 \\
J.1: Building the Java interface / 979 \\
J.2: Programming the Java MathCW class / 980 \\
J.3: Programming the Java C interface / 982 \\
J.4: Using the Java interface / 985 \\
L: Letter notation / 987 \\
P: Pascal interface / 989 \\
P.1: Building the Pascal interface / 989 \\
P.2: Programming the Pascal MathCW module / 990 \\
P.3: Using the Pascal module interface / 993 \\
P.4: Pascal and numeric programming / 994 \\
Bibliography / 995 \\
Author/editor index / 1039 \\
Function and macro index / 1049 \\
Subject index / 1065 \\
Colophon / 1115",
}
@Book{Blahut:1992:RS,
author = "Richard E. Blahut and Willard {Miller, Jr.} and Calvin
H. Wilcox",
title = "Radar and Sonar",
volume = "32",
publisher = pub-SV,
address = pub-SV:adr,
pages = "????",
year = "1992",
ISBN = "0-387-97516-0 (vol. 1), 3-540-97516-0 (vol. 1: EUR)",
ISBN-13 = "978-0-387-97516-0 (vol. 1), 978-3-540-97516-8 (vol. 1:
EUR)",
LCCN = "TK6580 .B5 1991",
bibdate = "Sat Jul 03 10:21:12 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "IMA volumes in mathematics and its applications",
acknowledgement = ack-nhfb,
}
@Book{Bressloff:2005:BGR,
editor = "Paul C. Bressloff and Stephen Coombes",
booktitle = "Bursting the Genesis of Rhythm in the Nervous System",
title = "Bursting the Genesis of Rhythm in the Nervous System",
publisher = "World Scientific Publishing Company",
address = "Singapore",
pages = "xvi + 401",
year = "2005",
ISBN = "981-256-506-X, 981-270-323-3 (e-book)",
ISBN-13 = "978-981-256-506-8, 978-981-270-323-1 (e-book)",
LCCN = "QP364.5 .B57 2005",
bibdate = "Wed Nov 18 12:01:38 MST 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
URL = "http://www.worldscientific.com/worldscibooks/10.1142/5944\#t=toc;
http://zbmath.org/?q=an:1094.92500",
ZMnumber = "1094.92500",
abstract = "Neurons in the brain communicate with each other by
transmitting sequences of electrical spikes or action
potentials. One of the major challenges in neuroscience
is to understand the basic physiological mechanisms
underlying the complex spatiotemporal patterns of
spiking activity observed during normal brain
functioning, and to determine the origins of
pathological dynamical states such as epileptic
seizures and Parkinsonian tremors. A second major
challenge is to understand how the patterns of spiking
activity provide a substrate for the encoding and
transmission of information, that is, how do neurons
compute with spikes? It is likely that an important
element of both the dynamical and computational
properties of neurons is that they can exhibit
bursting, which is a relatively slow rhythmic
alternation between an active phase of rapid spiking
and a quiescent phase without spiking. This book
provides a detailed overview of the current
state-of-the-art in the mathematical and computational
modeling of bursting, with contributions from many of
the leading researchers in the field.",
acknowledgement = ack-nhfb,
subject = "Sensory neurons; Neural transmission; Neural
transmission; Sensory neurons",
tableofcontents = "1. The development of the Hindmarsh--Rose model for
bursting / Jim Hindmarsh and Philip Cornelius \\
2. Negative calcium feedback: the road from Chay-Keizer
/ Richard Bertram and Arthur Sherman \\
3. Autoregulation of bursting of AVP neurons of the rat
hypothalamus / Peter Roper [und weitere] \\
4. Bifurcations in the fast dynamics of neurons:
implications for bursting / John Guckenheimer, Joseph
H. Tien and Allan R. Willms \\
5. Bursting in 2-compartment neurons: a case study of
the Pinsky--Rinzel model / Amitabha Bose and Victoria
Booth \\
6. Ghostbursting: the role of active dendrites in
electrosensory processing / Carlo R. Laing and Brent
Doiron \\
7. Analysis of circuits containing bursting neurons
using phase resetting curves / Carmen Canavier \\
8. Bursting in coupled cell systems / Martin
Golubitslcy, Kre{\`u}simir Josi{\'c} and LieJune Shiau
\\
9. Modulatory effects of coupling on bursting maps /
Gerda de Vries \\
10. Beyond synchronization: modulatory and emergent
effects of coupling in square-wave bursting / Gerda de
Vries and Arthur Sherman \\
11. Bursting in excitatory neural networks / Jo{\{"}e}l
Tabak and John Rinzel \\
12. Oscillatory bursting mechanisms in respiratory
pacemaker neurons and networks / Robert Butera [und
weitere] \\
13. Geometric analysis of bursting networks / Janet
Best and David Terman \\
14. Elliptic bursters, depolarization block, and waves
/ Bard Ermentrout, Joyeeta Dutta-Moscato and David
Pinto.",
}
@Book{Bressloff:2013:WNM,
author = "Paul C. Bressloff",
title = "Waves in Neural Media: From Single Neurons to Neural
Fields",
publisher = "Springer",
address = "Dordrecht, The Netherlands",
pages = "xix + 436",
year = "2013",
ISBN = "1-4614-8865-6 (print), 1-4614-8866-4 (e-book)",
ISBN-13 = "978-1-4614-8865-1, 978-1-4614-8866-8",
LCCN = "QA76.87",
bibdate = "Wed Nov 18 11:55:24 MST 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Lecture Notes on Mathematical Modelling in the Life
Sciences",
URL = "http://link.springer.com/book/10.1007/978-1-4614-8866-8;
http://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=1538621",
abstract = "\booktitle{Waves in Neural Media: From Single Cells to
Neural Fields} surveys mathematical models of traveling
waves in the brain, ranging from intracellular waves in
single neurons to waves of activity in large-scale
brain networks. The work provides a pedagogical account
of analytical methods for finding traveling wave
solutions of the variety of nonlinear differential
equations that arise in such models. These include
regular and singular perturbation methods, weakly
nonlinear analysis, Evans functions and wave stability,
homogenization theory and averaging, and stochastic
processes. Also covered in the text are exact methods
of solution where applicable. Historically speaking,
the propagation of action potentials has inspired new
mathematics, particularly with regard to the PDE theory
of waves in excitable media. More recently, continuum
neural field models of large-scale brain networks have
generated a new set of interesting mathematical
questions with regard to the solution of nonlocal
integro-differential equations. Advanced graduates,
postdoctoral researchers and faculty working in
mathematical biology, theoretical neuroscience, or
applied nonlinear dynamics will find this book to be a
valuable resource. The main prerequisites are an
introductory graduate course on ordinary differential
equations and partial differential equations, making
this an accessible and unique contribution to the field
of mathematical biology.",
acknowledgement = ack-nhfb,
subject = "Differential equations; Distribution; Mathematics;
Neurosciences; Physiology",
tableofcontents = "Part I: Neurons: Single neuron modeling \\
Traveling waves in one-dimensional excitable media \\
Wave propagation along spiny dendrites \\
Calcium waves and sparks \\
Part II: Networks: Waves in synaptically coupled
spiking networks \\
Population models and neural fields \\
Waves in excitable neural fields \\
Neural field model of binocular rivalry waves \\
Part III: Development and disease: Waves in the
developing and the diseased brain",
}
@Book{Bressloff:2014:SPC,
author = "Paul C. Bressloff",
title = "Stochastic Processes in Cell Biology",
volume = "41",
publisher = "Springer International Publishing",
address = "Cham, Switzerland",
pages = "xvii + 679",
year = "2014",
DOI = "https://doi.org/10.1007/978-3-319-08488-6",
ISBN = "3-319-08487-9 (hardcover), 3-319-08488-7 (e-book),",
ISBN-13 = "978-3-319-08487-9 (hardcover), 978-3-319-08488-6
(e-book),",
ISSN = "0939-6047",
LCCN = "QH323.5",
bibdate = "Wed Nov 18 11:49:54 MST 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Interdisciplinary Applied Mathematics",
abstract = "This book develops the theory of continuous and
discrete stochastic processes within the context of
cell biology. A wide range of biological topics are
covered including normal and anomalous diffusion in
complex cellular environments, stochastic ion channels
and excitable systems, stochastic calcium signaling,
molecular motors, intracellular transport, signal
transduction, bacterial chemotaxis, robustness in gene
networks, genetic switches and oscillators, cell
polarization, polymerization, cellular length control,
and branching processes. The book also provides a
pedagogical introduction to the theory of stochastic
process --- Fokker Planck equations, stochastic
differential equations, master equations and jump
Markov processes, diffusion approximations and the
system size expansion, first passage time problems,
stochastic hybrid systems, reaction-diffusion
equations, exclusion processes, WKB methods,
martingales and branching processes, stochastic
calculus, and numerical methods. This text is primarily
aimed at graduate students and researchers working in
mathematical biology and applied mathematicians
interested in stochastic modeling. Applied probabilists
and theoretical physicists should also find it of
interest. It assumes no prior background in statistical
physics and introduces concepts in stochastic processes
via motivating biological applications. The book is
highly illustrated and contains a large number of
examples and exercises that further develop the models
and ideas in the body of the text. It is based on a
course that the author has taught at the University of
Utah for many years.",
acknowledgement = ack-nhfb,
subject = "Mathematics; Cytology; Distribution (Probability
theory); Mathematical and Computational Biology;
Probability Theory and Stochastic Processes; Cell
Biology; Cytology; Distribution (Probability theory);
Mathematics",
tableofcontents = "Introduction \\
Diffusion in Cells: Random walks and Brownian Motion
\\
Stochastic Ion Channels \\
Polymers and Molecular Motors \\
Sensing the Environment: Adaptation and Amplification
in Cells \\
Stochastic Gene Expression and Regulatory Networks \\
Transport Processes in Cells \\
Self-Organization in Cells I: Active Processes \\
Self-Organization in Cells II: Reaction--Diffusion
Models \\
The WKB Method and Large Deviation Theory \\
Probability Theory and Martingales",
}
@Book{Carlson:1997:MMM,
author = "James A. Carlson and Jennifer M. Johnson",
title = "Multivariable Mathematics with {Maple}: Linear
Algebra, Vector Calculus and Differential Equations",
publisher = pub-PH,
address = pub-PH:adr,
pages = "vi + 290",
year = "1997",
ISBN = "0-13-270315-7 (paperback)",
ISBN-13 = "978-0-13-270315-4 (paperback)",
LCCN = "QA185.D37 C37 1997",
bibdate = "Mon May 11 12:46:28 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
keywords = "algebras, linear -- data processing; differential
equations -- data processing; Maple (computer file);
vector analysis -- data processing",
}
@Book{Carlson:2003:PMP,
author = "James Carlson and Stefan M{\"u}ller-Stach and Chris
Peters",
title = "Period Mappings and Period Domains",
volume = "85",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xvi + 430",
year = "2003",
ISBN = "0-521-81466-9",
ISBN-13 = "978-0-521-81466-9",
LCCN = "QA564 .C28 2003",
bibdate = "Sat Jul 03 08:51:09 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Cambridge studies in advanced mathematics",
acknowledgement = ack-nhfb,
}
@Book{Carlson:2006:MPP,
editor = "James A. Carlson and Arthur Jaffe and Andrew Wiles",
title = "The {Millennium Prize} Problems",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "viii + 165",
year = "2006",
ISBN = "0-8218-3679-X",
ISBN-13 = "978-0-8218-3679-8",
LCCN = "QA43 .M493 2006",
bibdate = "Thu Apr 2 10:10:54 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.claymath.org/publications/Millennium_Problems/",
acknowledgement = ack-nhfb,
subject = "mathematics; problems, exercises, etc; research",
tableofcontents = "History of prizes in mathematics / J. Gray \\
Birch and Swinnerton-Dyer conjecture / A. Wiles \\
Hodge conjecture / P. Deligne \\
Existence and smoothness of the Navier--Stokes equation
/ C.L. Fefferman \\
Poincar\'\'e conjecture / J. Milnor \\
P versus NP Problem / S. Cook \\
Riemann hypothesis / E. Bombieri \\
Quantum Yang--Mills theory / A. Jaffe and E. Witten",
}
@Book{Cherkaev:1997:TMM,
editor = "Andrej Cherkaev and Robert Kohn",
title = "Topics in the Mathematical Modelling of Composite
Materials",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xiv + 317",
year = "1997",
ISBN = "0-8176-3662-5",
ISBN-13 = "978-0-8176-3662-3",
LCCN = "TA418.9.C6 T676 1997",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Cherkaev:2000:VMS,
author = "Andrej Cherkaev",
title = "Variational Methods for Structural Optimization",
volume = "140",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 627",
year = "2000",
ISBN = "0-387-98462-3",
ISBN-13 = "978-0-387-98462-9",
LCCN = "QA1 .A647 v.140; TA658.8 .C53 2000",
bibdate = "Sat Sep 22 09:49:02 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Applied mathematical sciences",
URL = "https://www.math.utah.edu/book/vmso",
acknowledgement = ack-nhfb,
remark = "Technical editing by Nelson H. F. Beebe.",
}
@Proceedings{Clarke:1999:NAD,
editor = "Frank H. Clarke and Ronald J. Stern and Gert
Sabidussi",
booktitle = "Nonlinear analysis, differential equations, and
control",
title = "Nonlinear analysis, differential equations, and
control",
volume = "528",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xix + 602",
year = "1999",
ISBN = "0-7923-5665-9",
ISBN-13 = "978-0-7923-5665-3",
LCCN = "QA321.5 .N652 1999",
bibdate = "Wed Feb 13 18:54:10 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
note = "Proceedings of the NATO Advanced Study Institute and
S{\'e}minaire de Mathem{\'a}tiques Sup{\'e}rieures on
Nonlinear Analysis, Differential Equations, and
Control, Montr{\'e}al, Canada, July 27--August 7,
1998.",
series = "NATO science series. Series C, Mathematical and
physical sciences",
URL = "http://www.loc.gov/catdir/enhancements/fy0823/99014203-d.html;
http://www.loc.gov/catdir/enhancements/fy0823/99014203-t.html",
acknowledgement = ack-nhfb,
subject = "Nonlinear functional analysis; Congresses;
Differential equations; Control theory",
}
@Book{Csorgo:1986:ATE,
author = "Mikl{\'o}s Cs{\"o}rg{\H{o}} and S{\'a}ndor
Cs{\"o}rg{\H{o}} and Lajos Horv{\'a}th",
title = "An Asymptotic Theory for Empirical Reliability and
Concentration Processes",
volume = "33",
publisher = pub-SV,
address = pub-SV:adr,
pages = "171",
year = "1986",
ISBN = "0-387-96359-6",
ISBN-13 = "978-0-387-96359-4",
LCCN = "QA276.7 .C758 1986",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Lecture Notes in Statistics",
acknowledgement = ack-nhfb,
}
@Book{Csorgo:1993:WAP,
author = "Mikl{\'o}s Cs{\"o}rg{\H{o}} and Lajos Horv{\'a}th",
title = "Weighted Approximations in Probability and
Statistics",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xiii + 442",
year = "1993",
ISBN = "0-471-93635-9",
ISBN-13 = "978-0-471-93635-0",
LCCN = "QA274.2 .C77 1993",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Csorgo:1997:LTC,
author = "Mikl{\'o}s Cs{\"o}rg{\H{o}} and Lajos Horv{\'a}th",
title = "Limit Theorems in Change-Point Analysis",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xv + 414",
year = "1997",
ISBN = "0-471-95522-1",
ISBN-13 = "978-0-471-95522-1",
LCCN = "QA276 .C87 1997",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Dalang:2009:MSP,
author = "Robert Dalang and Davar Khoshnevisan and Carl Mueller
and David Nualart and Yimin Xiao",
title = "A Minicourse on Stochastic Partial Differential
Equations",
volume = "1962",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 216",
year = "2009",
ISBN = "3-540-85993-4 (softcover)",
ISBN-13 = "978-3-540-85993-2 (softcover)",
LCCN = "QA3 .L28 no.1962; QA3.L471",
bibdate = "Tue Jan 20 16:31:21 MST 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
library.mit.edu:9909/mit01;
z3950.loc.gov:7090/Voyager",
series = ser-LNM,
acknowledgement = ack-nhfb,
}
@Book{Elliott:1995:LSC,
author = "Rebecca J. Elliott",
title = "Learning {SAS} in the Computer Lab",
publisher = pub-DUXBURY-PRESS,
address = pub-DUXBURY-PRESS:adr,
pages = "x + 175",
year = "1995",
ISBN = "0-534-23442-9",
ISBN-13 = "978-0-534-23442-3",
LCCN = "QA276.4 .E44 1995",
bibdate = "Sat Jul 03 08:34:30 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
keywords = "SAS (Computer file); Statistics--Data processing",
}
@Book{Elliott:2000:LSC,
author = "Rebecca J. Elliott",
title = "Learning {SAS} in the Computer Lab",
publisher = pub-DUXBURY-PRESS,
address = pub-DUXBURY-PRESS:adr,
edition = "Second",
pages = "xi + 236",
year = "2000",
ISBN = "0-534-35925-6",
ISBN-13 = "978-0-534-35925-6",
LCCN = "QA276.4 .E44 2000",
bibdate = "Sat Jul 03 08:34:30 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
keywords = "SAS (Computer file); Statistics--Data processing",
}
@Book{Elliott:2010:LSC,
author = "Rebecca J. Elliott and Christopher H. Morrell",
title = "Learning {SAS} in the computer lab",
publisher = "Brooks/Cole Cengage Learning",
address = "Boston, MA, USA",
edition = "Third",
pages = "xi + 298",
year = "2010",
ISBN = "0-495-55968-7",
ISBN-13 = "978-0-495-55968-9",
LCCN = "QA276.4 .E44 2010",
bibdate = "Tue May 25 18:19:18 MDT 2010",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "SAS (Computer file); statistics; data processing",
}
@Book{Ethier:1986:MPC,
author = "Stewart N. Ethier and Thomas G. Kurtz",
title = "{Markov} Processes: Characterization and Convergence",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 534",
year = "1986",
ISBN = "0-471-08186-8",
ISBN-13 = "978-0-471-08186-9",
LCCN = "QA274.7 .E84 1986",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Ethier:2005:MPC,
author = "Stewart N. Ethier and Thomas G. Kurtz",
title = "{Markov} processes: characterization and convergence",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY-INTERSCIENCE:adr,
pages = "x + 534",
year = "2005",
ISBN = "0-471-76986-X (paperback)",
ISBN-13 = "978-0-471-76986-6 (paperback)",
LCCN = "QA274.7 .E84 2005",
bibdate = "Tue May 25 18:23:32 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Wiley series in probability and statistics;
Wiley-Interscience paperback series",
URL = "http://www.loc.gov/catdir/enhancements/fy0627/2005284417-b.html;
http://www.loc.gov/catdir/enhancements/fy0627/2005284417-d.html;
http://www.loc.gov/catdir/enhancements/fy0657/2005284417-t.html",
acknowledgement = ack-nhfb,
remark = "Originally published 1986.",
subject = "Markov processes",
}
@Book{Ethier:2007:OPM,
editor = "Stewart N. Ethier and William R. Eadington",
title = "Optimal Play: Mathematical Studies of Games and
Gambling",
publisher = "Institute for the Study of Gambling and Commercial
Gaming",
address = "Reno, NV, USA",
pages = "xxvi + 550",
year = "2007",
ISBN = "0-9796873-0-6",
ISBN-13 = "978-0-9796873-0-3",
LCCN = "????",
bibdate = "Mon Dec 3 15:45:33 MST 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
}
@Book{Ethier:2010:DCP,
author = "Stewart N. Ethier",
title = "The Doctrine of Chances: Probabilistic Aspects of
Gambling",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 816",
year = "2010",
DOI = "https://doi.org/10.1007/978-3-540-78783-9",
ISBN = "3-540-78782-8 (print), 3-540-78783-6 (e-book)",
ISBN-13 = "97-83540-787-8-2-2 (print), 97-83540-787-8-3-9
(e-book)",
LCCN = "QA271 2010",
bibdate = "Tue May 25 18:07:11 2010",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Probability and Its Applications",
URL = "https://www.math.utah.edu/~ethier/DoC.html",
acknowledgement = ack-nhfb,
}
@Book{Fife:1978:MAR,
author = "Paul C. Fife",
title = "Mathematical Aspects of Reacting and Diffusing
Systems",
volume = "28",
publisher = pub-SV,
address = pub-SV:adr,
pages = "iv + 185",
year = "1978",
ISBN = "0-387-09117-3",
ISBN-13 = "978-0-387-09117-4",
LCCN = "QH323.5 .F54",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Lecture Notes in Biomathematics",
acknowledgement = ack-nhfb,
}
@Book{Fife:1998:DIL,
author = "Paul C. Fife",
title = "Dynamics of Internal Layers and Diffusive Interfaces",
volume = "53",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "vi + 93",
year = "1998",
ISBN = "0-89871-225-4",
ISBN-13 = "978-0-89871-225-4",
LCCN = "QA927 .F54 1988",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "CBMS-NSF Regional Conference Series in Applied
Mathematics",
acknowledgement = ack-nhfb,
}
@Book{Folias:1989:SIT,
editor = "E. S. Folias",
title = "Structural Integrity: Theory and Experiment",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xiv + 253",
year = "1989",
ISBN = "0-7923-0174-9",
ISBN-13 = "978-0-7923-0174-5",
LCCN = "TA656 .S776 1989",
bibdate = "Thu Nov 29 10:23:54 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "Special papers from a conference in honor of Professor
Max Lea Williams on the occasion of his 65th birthday,
presented at several sessions of the 24th Annual
Meeting of the Society of Engineering Science at the
University of Utah in September 1987. Reprinted from
International Journal of Fracture, vol. {\bf 39}, nos.
1--3 (1989). Summaries in French.",
subject = "structural stability; fracture mechanics; Williams, M.
L. (Max Lea)",
}
@Book{Glaser:1970:GCT,
author = "Leslie C. Glaser",
title = "Geometrical Combinatorial Topology",
volume = "1 and 2",
publisher = pub-VAN-NOSTRAND-REINHOLD,
address = pub-VAN-NOSTRAND-REINHOLD:adr,
pages = "????",
year = "1970 and 1972",
ISBN = "0-442-78283-7",
ISBN-13 = "978-0-442-78283-2",
LCCN = "QA612 .G56",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Golden:1998:MMM,
editor = "Kenneth M. Golden and others",
title = "Mathematics of Multiscale Materials",
volume = "99",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 280",
year = "1998",
ISBN = "0-387-98528-X",
ISBN-13 = "978-0-387-98528-2",
LCCN = "TA405 .M395 1998",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "The IMA volumes in mathematics and its applications",
acknowledgement = ack-nhfb,
}
@Book{Gustafson:1998:ACM,
author = "Grant B. Gustafson and Calvin H. Wilcox",
title = "Analytical and Computational Methods of Advanced
Engineering Mathematics",
volume = "28",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxii + 729",
year = "1998",
ISBN = "0-387-98265-5",
ISBN-13 = "978-0-387-98265-6",
LCCN = "TA330 .G87 1998",
bibdate = "Sat Jul 03 08:08:09 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Texts in applied mathematics",
URL = "http://www.springeronline.com/sgw/cda/frontpage/0,10735,4-40109-22-1522238-0,00.html",
abstract = "This is a readable, innovative textbook of
mathematical methods for undergraduate engineering and
science students. The text is designed for a one-year
course and is centered around the topics which form the
essentials of engineering mathematics: ordinary
differential equations, vector calculus, linear
algebra, and partial differential equations. Ordinary
differential equations are developed in a setting found
suitable for scientists and engineers. Linear algebra,
in particular, is a strong point of the book. The
authors use a practical approach based upon solving
equations, and all ideas are introduced from this basic
viewpoint. Partial differential equations are
introduced in the context of physical problems, rather
than in an abstract setting. Emphasis is on the
solution of an extensive and varied number of
real-world problems, each treated completely and in
sufficient depth to be self-contained. Advanced
Engineering Mathematics is based on the authors' 25
years of university experience in teaching engineering
mathematics.",
acknowledgement = ack-nhfb,
tableofcontents = "1: Numerical analysis \\
2: Ordinary differential equations of first order \\
3: Ordinary differential equations of higher order \\
4: The Laplace transform \\
5: Linear algebra \\
6: Vector analysis \\
7: Partial differential equations of mathematical
physics \\
8: Fourier analysis and Sturm-Liouville theory \\
9: Boundary value problems of mathematical physics \\
A: Answers and Hints",
}
@Book{Holden:1991:NWP,
editor = "Arun V. Holden and Mario Markus and Hans G. Othmer",
title = "Nonlinear Wave Processes in Excitable Media,
Proceedings of a {NATO} Advanced Research Workshop on
Nonlinear Wave Processes in Excitable Media, held
September 11--15, 1989, in Leeds, United Kingdom",
volume = "244",
publisher = pub-PLENUM,
address = pub-PLENUM:adr,
pages = "xii + 525",
year = "1991",
ISBN = "0-306-43800-3",
ISBN-13 = "978-0-306-43800-4",
LCCN = "QA927 .N27 1991",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "NATO ASI series. Series B, Physics",
acknowledgement = ack-nhfb,
}
@Book{Hoppensteadt:1979:NOB,
editor = "F. C. Hoppensteadt",
title = "Nonlinear Oscillations in Biology",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "x + 253",
year = "1979",
ISBN = "0-8218-1117-7",
ISBN-13 = "978-0-8218-1117-7",
LCCN = "QH323.5 .S85 1978",
bibdate = "Wed May 9 12:02:19 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Lectures in applied mathematics; v. 17",
acknowledgement = ack-nhfb,
meetingname = "Summer Seminar on Applied Mathematics (10th : 1978 :
University of Utah)",
remark = "Sponsored jointly by the American Mathematical
Society and the Society for Industrial and Applied
Mathematics.",
subject = "Biomathematics; Congresses; Nonlinear oscillations",
}
@Book{Hoppensteadt:1982:MMP,
author = "F. C. Hoppensteadt",
title = "Mathematical Methods of Population Biology",
volume = "4",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "viii + 149",
year = "1982",
ISBN = "0-521-23846-3, 0-521-28256-X (paperback)",
ISBN-13 = "978-0-521-23846-5, 978-0-521-28256-7 (paperback)",
LCCN = "QH352 .H66 1982",
bibdate = "Wed May 9 12:02:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Cambridge studies in mathematical biology",
URL = "http://www.loc.gov/catdir/description/cam022/81009977.html;
http://www.loc.gov/catdir/toc/cam029/81009977.html",
acknowledgement = ack-nhfb,
subject = "Population biology; Mathematical models; Biometry;
Models, Biological; Population",
}
@Book{Hoppensteadt:1986:IMN,
author = "F. C. Hoppensteadt",
title = "An Introduction to the Mathematics of Neurons",
volume = "6",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xv + 175",
year = "1986",
ISBN = "0-521-30566-7, 0-521-31574-3 (paperback)",
ISBN-13 = "978-0-521-30566-2, 978-0-521-31574-6 (paperback)",
LCCN = "QP363.3 .H67 1986",
bibdate = "Wed May 9 12:27:43 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Cambridge studies in mathematical biology",
URL = "http://www.loc.gov/catdir/description/cam031/85011013.html",
acknowledgement = ack-nhfb,
subject = "Neurons; Mathematical models; Neural circuitry",
}
@Book{Hoppensteadt:1997:IMN,
author = "F. C. Hoppensteadt",
title = "An Introduction to the Mathematics of Neurons:
Modeling in the Frequency Domain",
volume = "6",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
edition = "Second",
pages = "xx + 211",
year = "1997",
ISBN = "0-521-59075-2 (hardcover), 0-521-59929-6 (paperback)",
ISBN-13 = "978-0-521-59075-4 (hardcover), 978-0-521-59929-0
(paperback)",
LCCN = "QP363.3 .H67 1997",
bibdate = "Wed May 9 12:01:40 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Cambridge studies in mathematical biology",
URL = "http://www.loc.gov/catdir/description/cam028/96036822.html;
http://www.loc.gov/catdir/toc/cam024/96036822.html",
acknowledgement = ack-nhfb,
subject = "Neurons; Mathematical models; Neural circuitry",
}
@Book{Horn:1985:MA,
author = "Roger Horn and Charles R. Johnson",
title = "Matrix Analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xiii + 561",
year = "1985",
ISBN = "0-521-30586-1 (hard), 0-521-38632-2 (soft)",
ISBN-13 = "978-0-521-30586-0 (hard), 978-0-521-38632-6 (soft)",
LCCN = "QA188 .H66 1985",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
URL = "http://www.loc.gov/catdir/description/cam023/85007736.html",
acknowledgement = ack-nhfb,
}
@Book{Horn:1991:TMA,
author = "Roger Horn and Charles R. Johnson",
title = "Topics in Matrix Analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "viii + 607",
year = "1991",
ISBN = "0-521-30587-X",
ISBN-13 = "978-0-521-30587-7",
LCCN = "QA188 .H664 1991",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Horn:2012:MA,
author = "Roger A. Horn and Charles R. (Charles Royal) Johnson",
title = "Matrix Analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
edition = "Second",
pages = "xviii + 643",
year = "2012",
DOI = "https://doi.org/10.1017/CBO9781139020411",
ISBN = "0-521-83940-8 (hardcover), 0-521-54823-3 (paperback),
1-283-74139-3, 1-139-77904-4, 1-139-77600-2 (e-book),
1-139-02041-2 (e-book)",
ISBN-13 = "978-0-521-83940-2 (hardcover), 978-0-521-54823-6
(paperback), 978-1-283-74139-2, 978-1-139-77904-3,
978-1-139-77600-4 (e-book), 978-1-139-02041-1
(e-book)",
LCCN = "QA188 .H66 2012",
bibdate = "Thu Nov 20 09:13:05 MST 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib;
https://www.math.utah.edu/pub/tex/bib/numana2010.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
abstract = "The thoroughly revised and updated second edition of
this acclaimed text has several new and expanded
sections and more than 1,100 exercises.",
acknowledgement = ack-nhfb,
subject = "Matrices; MATHEMATICS; Algebra; Abstract; Matrices",
tableofcontents = "Frontmatter / i--vi \\
Contents / vii--x \\
Preface to the Second Edition / xi--xiv \\
Preface to the First Edition / xv--xviii \\
0. Review and Miscellanea / 1--42 \\
1. Eigenvalues, Eigenvectors, and Similarity / 43--82
\\
2. Unitary Similarity and Unitary Equivalence / 83--162
\\
3. Canonical Forms for Similarity and Triangular
Factorizations / 163--224 \\
4. Hermitian Matrices, Symmetric Matrices, and
Congruences / 225--312 \\
5. Norms for Vectors and Matrices / 313--386 \\
6. Location and Perturbation of Eigenvalues / 387--424
\\
7. Positive Definite and Semidefinite Matrices /
425--516 \\
8. Positive and Nonnegative Matrices / 517--554 \\
Appendix A. Complex Numbers / 555--556 \\
Appendix B. Convex Sets and Functions / 557--560 \\
Appendix C. The Fundamental Theorem of Algebra /
561--562 \\
Appendix D. Continuity of Polynomial Zeroes and Matrix
Eigenvalues / 563--564 \\
Appendix E. Continuity, Compactness, and Weierstrass's
Theorem / 565--566 \\
Appendix F. Canonical Pairs / 567--570 \\
References / 571--574 \\
Notation / 575--578 \\
Hints for Problems / 579--606 \\
Index / 607--643",
}
@Book{Horvath:2012:IFD,
author = "Lajos Horv{\'a}th and Piotr Kokoszka",
title = "Inference for Functional Data with Applications",
volume = "200",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 422",
year = "2012",
CODEN = "????",
DOI = "https://doi.org/10.1007/978-1-4614-3655-3",
ISBN = "1-4614-3654-0 (hardcover), 1-4614-3655-9 (e-book)",
ISBN-13 = "978-1-4614-3654-6 (hardcover), 978-1-4614-3655-3
(e-book)",
ISSN = "0172-7397",
ISSN-L = "0172-7397",
LCCN = "QA320 .H67 2012",
bibdate = "Thu Jun 19 06:42:53 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/probstat2010.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer Series in Statistics",
URL = "http://link.springer.com/book/10.1007/978-1-4614-3655-3;
http://www.loc.gov/catdir/enhancements/fy1306/2012937071-b.html;
http://www.loc.gov/catdir/enhancements/fy1306/2012937071-d.html;
http://www.loc.gov/catdir/enhancements/fy1306/2012937071-t.html",
abstract = "This text presents the latest statistical methods
required for applying functional data analysis to
problems arising in geosciences, finance, economics and
biology. It describes all procedures algorithmically,
supported by a complete asymptotic theory.",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/692",
subject = "Functional analysis",
tableofcontents = "Part 1: Independent functional observations \\
Hilbert space model for functional data \\
Functional principal components \\
Canonical correlation analysis \\
Two sample inference for the mean and covariance
functions \\
Detection of changes in the mean function \\
Portmanteau test of independence \\
Functional data structures \\
Part 2: The functional linear model \\
Functional linear models \\
Test for lack of effect in the functional linear model
\\
Two sample inference for regression kernels \\
Tests for error correlation in the functional linear
model \\
A test of significance in functional quadratic
regression \\
Part 3: Dependent functional data \\
Functional autoregressive model \\
Change point detection in the functional autoregressive
process \\
Determining the order of the functional autoregressive
model \\
Functional time series \\
Spatially distributed functional data \\
Consistency of the simple mean and the empirical
functional principal components for spatially
distributed curves",
}
@Book{Jurek:1993:OLD,
author = "Zbigniew J. Jurek and J. David Mason",
title = "Operator-Limit Distributions in Probability Theory",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xiii + 292",
year = "1993",
ISBN = "0-471-58595-5",
ISBN-13 = "978-0-471-58595-4",
LCCN = "QA273.67 .J87 1993",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Keener:1988:PAM,
author = "James P. Keener",
title = "Principles of Applied Mathematics: Transformation and
Approximation",
publisher = pub-AW,
address = pub-AW:adr,
pages = "xv + 560",
year = "1988",
ISBN = "0-201-15674-1",
ISBN-13 = "978-0-201-15674-4",
LCCN = "QA601 .K4 1988",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Keener:1998:MP,
author = "James P. Keener and James Sneyd",
title = "Mathematical Physiology",
volume = "8",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 766",
year = "1998",
ISBN = "0-387-98381-3",
ISBN-13 = "978-0-387-98381-3",
LCCN = "QP33.6.M36 K44 1998",
bibdate = "Sat Jul 03 09:14:51 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Interdisciplinary Applied Mathematics",
acknowledgement = ack-nhfb,
}
@Book{Keener:1998:MPI,
author = "James P. Keener and James Sneyd",
title = "Mathematical Physiology",
volume = "8",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 766",
year = "1998",
ISBN = "0-387-98381-3",
ISBN-13 = "978-0-387-98381-3",
LCCN = "QP33.6.M36 K44 1998",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Interdisciplinary Applied Mathematics",
acknowledgement = ack-nhfb,
}
@Book{Keener:2000:MP,
author = "James P. Keener and James Sneyd",
title = "Mathematical Physiology",
publisher = pub-PERSEUS-BOOKS,
address = pub-PERSEUS-BOOKS:adr,
pages = "603",
year = "2000",
ISBN = "0-7382-0129-4",
ISBN-13 = "978-0-7382-0129-0",
LCCN = "QA601 .K4 2000",
bibdate = "Sat Jul 03 09:14:51 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Keener:2005:MTP,
author = "James P. Keener and James Sneyd",
title = "A Mathematical Textbook of Physiology",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "",
year = "2005",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
remark = "In press.",
}
@Book{Khoshnevisan:2002:MPI,
author = "Davar Khoshnevisan",
title = "Multiparameter Processes: An Introduction to Random
Fields",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xix + 584",
year = "2002",
DOI = "https://doi.org/10.1007/b97363",
ISBN = "0-387-95459-7",
ISBN-13 = "978-0-387-95459-2",
LCCN = "QA274.45 .K58 2002",
bibdate = "Thu Sep 12 15:52:23 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Springer Monographs in Mathematics",
abstract = "Multiparameter processes extend the existing
one-parameter theory of random processes in an elegant
way, and have found connections to diverse disciplines
such as probability theory, real and functional
analysis, group theory, analytic number theory, and
group renormalization in mathematical physics, to name
a few. This book lays the foundation of aspects of the
rapidly-developing subject of random fields, and is
designed for a second graduate course in probability
and beyond. Its intended audience is pure, as well as
applied, mathematicians. Davar Khoshnevisan is
Professor of Mathematics at the University of Utah. His
research involves random fields, probabilistic
potential theory, and stochastic analysis.",
acknowledgement = ack-nhfb,
shorttableofcontents = "Discrete-Parameter Random Fields \\
Discrete-Parameter Martingales \\
Two Applications in Analysis \\
Random Walks \\
Multiparameter Walks \\
Gaussian Random Variables \\
Limit Theorems \\
Continuous-Parameter Random Fields \\
Continuous-Parameter Martingales \\
Constructing Markov Processes \\
Generation of Markov Processes \\
Probabilistic Potential Theory \\
Multiparameter Markov Processes \\
The Brownian Sheet and Potential Theory",
tableofcontents = "Preface \\
List of Figures \\
General Notation \\
I Discrete-Parameter Random Fields \\
1 Discrete-Parameter Martingales \\
1 One-Parameter Martingales \\
2 Orthomartingales: Aspects of the Cairoli \ldots{}
Walsh Theory \\
3 Martingales \\
4 Supplementary Exercises \\
5 Notes on Chapter 1 \\
2 Two Applications in Analysis \\
1 Haar Systems \\
2 Differentiation \\
3 Supplementary Exercises \\
4 Notes on Chapter 2 \\
3 Random Walks \\
1 One-Parameter Random Walks \\
2 Intersection Probabilities \\
3 The Simple Random Walk \\
4 Supplementary Exercises \\
5 Notes on Chapter 3 \\
4 Multiparameter Walks \\
1 The Strong Law of Large Numbers \\
2 The Law of the Iterated Logarithm \\
3 Supplementary Exercises \\
4 Notes on Chapter 4 \\
5 Gaussian Random Variables \\
1 The Basic Construction \\
2 Regularity Theory \\
3 The Standard Brownian Sheet \\
4 Supplementary Exercises \\
5 Notes on Chapter 5 \\
6 Limit Theorems \\
1 Random Variables \\
2 Weak Convergence \\
3 The Space C \\
4 Invariance Principles \\
5 Supplementary Exercises \\
6 Notes on Chapter 6 \\
II Continuous-Parameter Random Fields \\
7 Continuous-Parameter Martingales \\
1 One-Parameter Martingales \\
2 Multiparameter Martingales \\
3 One-Parameter Stochastic Integration \\
4 An Introduction to Stochastic PDEs \\
5 Supplementary Exercises \\
6 Notes on Chapter 7 \\
8 Constructing Markov Processes \\
1 Discrete Markov Chains \\
2 Markov Semigroups \\
3 Markov Processes \\
4 Feller Processes \\
5 Supplementary Exercises \\
6 Notes on Chapter 8 \\
9 Generation of Markov Processes \\
1 Generation \\
2 Explicit Computations \\
3 The Feynman \ldots{} Kac Formula \\
4 Exit Times and Brownian Motion \\
5 Supplementary Exercises \\
6 Notes on Chapter 9 \\
10 Probabilistic Potential Theory \\
1 Recurrent Levy Processes \\
2 Hitting Probabilities for Feller Processes \\
3 Explicit Computations \\
4 Supplementary Exercises \\
5 Notes on Chapter 10 \\
11 Multiparameter Markov Processes \\
1 Definitions \\
2 Examples \\
3 Potential Theory \\
4 Applications \\
5 a-Regular Gaussian Random Fields \\
6 Supplementary Exercises \\
7 Notes on Chapter 11 \\
12 The Brownian Sheet and Potential Theory \\
1 Polar Sets for the Range of the Brownian Sheet \\
2 The Codimension of the Level Sets \\
3 Local Times as Frostman's Measures \\
4 Supplementary Exercises \\
5 Notes on Chapter 12 \\
III Appendices \\
A Kolmogorov's Consistency Theorem \\
B Laplace Transforms \\
1 Uniqueness and Convergence Theorems \\
2 A Tauberian Theorem \\
C Hausdorff Dimensions and Measures \\
1 Preliminaries \\
2 Frostman's Theorems \\
3 Notes on Appendix C \\
D Energy and Capacity \\
1 Preliminaries \\
2 Choquet Capacities \\
3 Notes on Appendix D \\
References \\
Name Index",
}
@Book{Khoshnevisan:2007:P,
author = "Davar Khoshnevisan",
title = "Probability",
volume = "80",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xvi + 224",
year = "2007",
ISBN = "0-8218-4215-3",
ISBN-13 = "978-0-8218-4215-7",
ISSN = "1065-7339",
LCCN = "QA273 .K488 2007",
bibdate = "Tue May 1 14:40:56 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Graduate studies in mathematics",
acknowledgement = ack-nhfb,
subject = "Probabilities",
}
@Book{Le:1997:GBP,
author = "Vy Khoi Le and Klaus Schmitt",
title = "Global Bifurcation Problems in Variational
Inequalities: Applications to Obstacle and Unilateral
Problems",
volume = "123",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 250",
year = "1997",
ISBN = "0-387-94886-4",
ISBN-13 = "978-0-387-94886-7",
LCCN = "QA1 .A647 vol. 123",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Applied Mathematical Sciences",
acknowledgement = ack-nhfb,
}
@Book{MacArthur:2014:BA,
author = "Kelly MacArthur",
title = "Business algebra",
publisher = "Kendall Hunt Publishing Company",
address = "Dubuque, IA, USA",
pages = "xiv + 394",
year = "2014",
ISBN = "1-4652-4098-5",
ISBN-13 = "978-1-4652-4098-9",
LCCN = "QA154.3 .M23 2014",
bibdate = "Fri Jun 10 18:10:46 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
remark = "Revised printing 2014 of 2011 edition.",
subject = "Algebra; Textbooks; Problems, exercises, etc; Business
mathematics; Algebra.; Business mathematics.",
tableofcontents = "Preface and acknowledgments \\
How to succeed in math \\
Tips for taking math exams \\
Review assignment \\
Linear equations and inequalities \\
Matrices \\
Functions and graphs \\
Exponential and logarithmic functions \\
Mathematics of finance \\
Final review \\
Homework answers \\
Review answers",
}
@Book{Maini:2001:MMB,
author = "Philip K. Maini and Hans G. Othmer",
title = "Mathematical Models for Biological Pattern Formation:
Frontiers in Applications of Mathematics",
volume = "121",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 317",
year = "2001",
ISBN = "0-387-95103-2",
ISBN-13 = "978-0-387-95103-4",
LCCN = "QH491 .M29 2001",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "The {IMA} volumes in mathematics and its
applications",
acknowledgement = ack-nhfb,
}
@Book{Mason:1977:PCS,
editor = "J. David Mason",
title = "Proceeding of the Conference on Stochastic
Differential Equations and Applications",
publisher = pub-AP,
address = pub-AP:adr,
pages = "ix + 253",
year = "1977",
ISBN = "0-12-478050-4",
ISBN-13 = "978-0-12-478050-7",
LCCN = "QA274.23 .C36 1976",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Milton:2002:TC,
author = "Graeme Milton",
title = "The Theory of Composites",
volume = "6",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xxviii + 720",
year = "2002",
ISBN = "0-521-78125-6",
ISBN-13 = "978-0-521-78125-1",
LCCN = "TA418.9.C6 M58 2001",
bibdate = "Sat May 04 06:33:55 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
price = "US\$80",
series = "Cambridge monographs on applied and computational
mathematics",
URL = "https://www.math.utah.edu/books/tcbook",
acknowledgement = ack-nhfb,
keywords = "composite materials; differential equations, partial;
homogenization (differential equations)",
remark = "Technical editing by Nelson H. F. Beebe.",
}
@Book{Milton:2016:ETC,
editor = "Graeme W. Milton",
booktitle = "Extending the Theory of Composites to Other Areas of
Science",
title = "Extending the Theory of Composites to Other Areas of
Science",
publisher = "Milton--Patton Publishers",
address = "P.O. Box 581077, Salt Lake City, UT 85148, USA",
pages = "xx + 422",
year = "2016",
ISBN = "1-4835-6919-5 (print), 1-4835-6920-9 (e-book)",
ISBN-13 = "978-1-4835-6919-2 (print), 978-1-4835-6920-8
(e-book)",
LCCN = "????",
bibdate = "Wed Jul 06 09:36:32 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
URL = "https://www.math.utah.edu/books/milton",
acknowledgement = ack-gwm # " and " # ack-nhfb,
tableofcontents = "1: Canonical forms for linear physics equations and
key identities / Graeme W. Milton / 1 \\
2: Composites and the associated abstract theory /
Graeme W. Milton / 47 \\
3: A new perspective on boundary value problems /
Graeme W. Milton / 77 \\
4: Analyticity of the Dirichlet-to-Neumann map for the
time-harmonic Maxwell's equations / Maxence Cassier,
Aaron Welters and Graeme W. Milton / 95 \\
5: The inverse problem / Graeme W. Milton / 123 \\
6: Bounds for the transient response of viscoelastic
composites / Ornella Mattei and Graeme W. Milton / 149
\\
7: Superfunctions and the algebra of subspace
collections / Graeme W. Milton / 179 \\
8: Accelerating FFT methods for conducting composites /
Graeme W. Milton / 235 \\
9: The response of systems with coupled fields /
Mordehai Milgrom and Graeme W. Milton / 255 \\
10: A rigorous approach to the field recursion method /
Maxence Cassier, Aaron Welters and Graeme W. Milton /
287 \\
11: Projection Functional Theory for finding excited
states / Graeme W. Milton / 309 \\
12: The desymmetrization method for solving the
Schr{\"o}dinger equation / Graeme W. Milton / 319 \\
13: Variational principles and $Q_C^*$-convex functions
for Schr{\"o}dinger's equation / Graeme W. Milton / 337
\\
14: Green's functions for self-adjoint and
non-self-adjoint operators / Graeme W. Milton / 355 \\
Bibliography / / 369 \\
Author/editor index / / 401 \\
Index / / 413",
}
@Book{Munk:1989:CAO,
author = "Peter B. Munk and Hans G. Othmer",
title = "Cyclic {AMP} Oscillations in Suspensions of {{\em
Dictyostelium discoideum}}",
volume = "323:1215",
publisher = "Royal Society of London",
address = "London, England",
pages = "",
year = "1989",
ISBN = "",
ISBN-13 = "",
ISSN = "0080-4622",
LCCN = "",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Philosophical transactions of the Royal society of
London. Ser. {B}, Biological sciences",
acknowledgement = ack-nhfb,
}
@Book{Othmer:1987:MDB,
author = "Hans G. Othmer and Stephen R. Dunbar and W. Alt",
title = "Models of Dispersal in Biological Systems",
publisher = "Universit{\"a}t Heidelberg",
address = "Heidelberg, Germany",
pages = "",
year = "1987",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Sonderforschungsbereich 123, Stochast. Math.
Modelle",
acknowledgement = ack-nhfb,
}
@Book{Palais:2009:DEM,
author = "Richard S. Palais and Robert A. Palais",
title = "Differential Equations, Mechanics, and Computation",
volume = "51",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xiii + 313",
year = "2009",
ISBN = "0-8218-2138-5",
ISBN-13 = "978-0-8218-2138-1",
LCCN = "QA371.P34 2009",
bibdate = "Mon Nov 30 17:58:16 2009",
bibsource = "catalog.lib.byu.edu:2200;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Student mathematical library; IAS/Park City
mathematical subseries",
acknowledgement = ack-nhfb,
subject = "Evolution equations; Differential equations, Linear;
Numerical solutions; Differential equations;
Mechanics",
}
@Book{Rassoul-Agha:2015:CLD,
author = "Firas Rassoul-Agha and Timo O. Sepp{\"a}l{\"a}inen",
title = "A course on large deviations with an introduction to
{Gibbs} measures",
volume = "162",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xiv + 318",
year = "2015",
ISBN = "0-8218-7578-7 (hardcover)",
ISBN-13 = "978-0-8218-7578-0 (hardcover)",
ISSN = "1065-7339",
LCCN = "QA273.67 .R375 2015",
MRclass = "60-01 (60F10 60J10 60K35 60K37 82B05 82B20)",
MRnumber = "3309619",
MRreviewer = "Jean-Ren\'e Chazottes",
bibdate = "Tue Jan 2 09:14:16 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Graduate studies in mathematics",
URL = "https://mathscinet.ams.org/mathscinet-getitem?mr=3309619",
abstract = "This is an introductory course on the methods of
computing asymptotics of probabilities of rare events:
the theory of large deviations. The book combines large
deviation theory with basic statistical mechanics,
namely Gibbs measures with their variational
characterization and the phase transition of the Ising
model, in a text intended for a one semester or quarter
course. The book begins with a straightforward approach
to the key ideas and results of large deviation theory
in the context of independent identically distributed
random variables. This includes Cram{\'e}r's theorem,
relative entropy, Sanov's theorem, process level large
deviations, convex duality, and change of measure
arguments. Dependence is introduced through the
interactions potentials of equilibrium statistical
mechanics. The phase transition of the Ising model is
proved in two different ways: first in the classical
way with the Peierls argument, Dobrushin's uniqueness
condition, and correlation inequalities and then a
second time through the percolation approach. Beyond
the large deviations of independent variables and Gibbs
measures, later parts of the book treat large
deviations of Markov chains, the G{\"a}rtner--Ellis
theorem, and a large deviation theorem of Baxter and
Jain that is then applied to a nonstationary process
and a random walk in a dynamical random environment.",
acknowledgement = ack-nhfb,
tableofcontents = "Part I. Large deviations: General theory and i.i.d.
processes \\
1. Introductory discussion \\
2. The large deviation principle \\
3. Large deviations and asymptotics of integrals \\
4. Convex analysis in large deviation theory \\
5. Relative entropy and large deviations for empirical
measures \\
6. Process level large deviations for i.i.d. fields \\
Part II. Statistical mechanics \\
7. Formalism for classical lattice systems \\
8. Large deviations and equilibrium statistical
mechanics \\
9. Phase transition in the Ising model \\
10. Percolation approach to phase transition \\
Part III. Additional large deviation topics \\
11. Further asymptotics for i.i.d. random variables \\
12. Large deviations through the limiting generating
function \\
13. Large deviations for Markov chains \\
14. Convexity criterion for large deviations \\
15. Nonstationary independent variables \\
16. Random walk in a dynamical random environment \\
Appendixes \\
Appendix A. Analysis \\
Appendix B. Probability \\
Appendix C. Inequalities from statistical mechanics",
}
@Book{Robbins:2005:CSS,
author = "Arnold Robbins and Nelson H. F. Beebe",
title = "Classic Shell Scripting",
publisher = pub-ORA-MEDIA,
address = pub-ORA-MEDIA:adr,
pages = "xxii + 534",
year = "2005",
ISBN = "0-596-00595-4",
ISBN-13 = "978-0-596-00595-5",
LCCN = "QA76.76.O63 R633 2005",
bibdate = "Tue Jul 12 16:13:16 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/css.bib;
https://www.math.utah.edu/pub/tex/bib/linux.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/ora.bib;
https://www.math.utah.edu/pub/tex/bib/spell.bib;
https://www.math.utah.edu/pub/tex/bib/string-matching.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
note = "Also available in Chinese \cite{Robbins:2008:SJB},
French \cite{Robbins:2005:ISS}, German
\cite{Robbins:2006:KSP}, Japanese
\cite{Robbins:2006:SSS}, and Polish
\cite{Robbins:2006:PSP} translations.",
URL = "http://www.oreilly.com/catalog/shellsrptg/",
acknowledgement = ack-nhfb,
ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
tableofcontents = "Foreword / ix \\
Preface / xi \\
1 Background / 1 \\
1.1 Unix History / 1 \\
1.2 Software Tools Principles / 4 \\
1.3 Summary / 6 \\
2 Getting Started / 8 \\
2.1 Scripting Languages Versus Compiled Languages / 8
\\
2.2 Why Use a Shell Script? / 9 \\
2.3 A Simple Script / 9 \\
2.4 Self-Contained Scripts: The \#! First Line / 10 \\
2.5 Basic Shell Constructs / 12 \\
2.6 Accessing Shell Script Arguments / 23 \\
2.7 Simple Execution Tracing / 24 \\
2.8 Internationalization and Localization / 25 \\
2.9 Summary / 28 \\
3 Searching and Substitutions / 30 \\
3.1 Searching for Text / 30 \\
3.2 Regular Expressions / 31 \\
3.3 Working with Fields / 56 \\
3.4 Summary / 65 \\
4 Text Processing Tools / 67 \\
4.1 Sorting Text / 67 \\
4.2 Removing Duplicates / 75 \\
4.3 Reformatting Paragraphs / 76 \\
4.4 Counting Lines, Words, and Characters / 77 \\
4.5 Printing / 78 \\
4.6 Extracting the First and Last Lines / 83 \\
4.7 Summary / 86 \\
5 Pipelines Can Do Amazing Things / 87 \\
5.1 Extracting Data from Structured Text Files / 87 \\
5.2 Structured Data for the Web / 94 \\
5.3 Cheating at Word Puzzles / 100 \\
5.4 Word Lists / 102 \\
5.5 Tag Lists / 105 \\
5.6 Summary / 107 \\
6 Variables, Making Decisions, and Repeating Actions /
109 \\
6.1 Variables and Arithmetic / 109 \\
6.2 Exit Statuses / 120 \\
6.3 The case Statement / 129 \\
6.4 Looping / 130 \\
6.5 Functions / 135 \\
6.6 Summary / 138 \\
7 Input and Output, Files, and Command Evaluation / 140
\\
7.1 Standard Input, Output, and Error / 140 \\
7.2 Reading Lines with read / 140 \\
7.3 More About Redirections / 143 \\
7.4 The Full Story on printf / 147 \\
7.5 Tilde Expansion and Wildcards / 152 \\
7.6 Command Substitution / 155 \\
7.7 Quoting / 161 \\
7.8 Evaluation Order and eval / 162 \\
7.9 Built-in Commands / 168 \\
7.10 Summary / 175 \\
8 Production Scripts / 177 \\
8.1 Path Searching / 177 \\
8.2 Automating Software Builds / 192 \\
8.3 Summary / 222 \\
9 Enough awk to Be Dangerous / 223 \\
9.1 The awk Command Line / 224 \\
9.2 The awk Programming Model / 225 \\
9.3 Program Elements / 226 \\
9.4 Records and Fields / 236 \\
9.5 Patterns and Actions / 238 \\
9.6 One-Line Programs in awk / 240 \\
9.7 Statements / 244 \\
9.8 User-Defined Functions / 252 \\
9.9 String Functions / 255 \\
9.10 Numeric Functions / 264 \\
9.11 Summary / 266 \\
10 Working with Files / 267 \\
10.1 Listing Files / 267 \\
10.2 Updating Modification Times with touch / 273 \\
10.3 Creating and Using Temporary Files / 274 \\
10.4 Finding Files / 279 \\
10.5 Running Commands: xargs / 293 \\
10.6 Filesystem Space Information / 295 \\
10.7 Comparing Files / 299 \\
10.8 Summary / 307 \\
11 Extend Example: Merging User Databases / 308 \\
11.1 The Problem / 308 \\
11.2 The Password Files / 309 \\
11.3 Merging Password Files / 310 \\
11.4 Changing File Ownership / 317 \\
11.5 Other Real-World Issues / 321 \\
11.6 Summary / 323 \\
12 Spellchecking / 325 \\
12.1 The spell Program / 325 \\
12.2 The Original Unix Spellchecking Prototype / 326
\\
12.3 Improving ispell and aspell / 327 \\
12.4 A Spellchecker in awk / 331 \\
12.5 Summary / 350 \\
13 Processes / 352 \\
13.1 Process Creation / 353 \\
13.2 Process Listing / 354 \\
13.3 Process Control and Deletion / 360 \\
13.4 Process System-Call Tracing / 368 \\
13.5 Process Accounting / 372 \\
13.6 Delayed Scheduling of Processes / 373 \\
13.7 The /proc Filesystem / 378 \\
13.8 Summary / 379 \\
14 Shell Portability Issues and Extensions / 381 \\
14.1 Gotchas / 381 \\
14.2 The bash shopt Command / 385 \\
14.3 Common Extensions / 389 \\
14.4 Download Information / 402 \\
14.5 Other Extended Bourne-Style Shells / 405 \\
14.6 Shell Versions / 405 \\
14.7 Shell Initialization and Termination / 406 \\
14.8 Summary / 412 \\
15 Secure Shell Scripts: Getting Started / 413 \\
15.1 Tips for Secure Shell Scripts / 413 \\
15.2 Restricted Shell / 416 \\
15.3 Trojan Horses / 418 \\
15.4 Setuid Shell Scripts: A Bad Idea / 419 \\
15.5 ksh93 and Privileged Mode / 21 \\
15.6 Summary / 422 \\
A Writing Manual Pages / 423 \\
B Files and Filesystems / 437 \\
C Important Unix Commands / 473 \\
Bibliography / 478 \\
Glossary / 484 \\
Index / 509",
}
@Book{Robbins:2005:ISS,
author = "Arnold Robbins and Nelson H. F. Beebe",
title = "Introduction aux scripts shell",
publisher = pub-ORA,
address = pub-ORA:adr,
pages = "xxii + 558",
year = "2005",
ISBN = "2-84177-375-2",
ISBN-13 = "978-2-84177-375-6",
LCCN = "????",
bibdate = "Mon Feb 27 11:35:14 MST 2006",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/linux.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
note = "French translation of \cite{Robbins:2005:CSS} by Eric
Jacoboni.",
URL = "http://www.silicon.fr/getarticle.asp?id=14015",
acknowledgement = ack-nhfb,
language = "French",
ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
}
@Book{Robbins:2006:KSP,
author = "Arnold Robbins and Nelson H. F. Beebe",
title = "{Klassische Shell-Programmierung: [automatisieren Sie
Ihre Unix\slash Linux-Tasks]}. ({German}) [{Classic}
Shell Scripting: [automating your Unix\slash Linux
jobs]]",
publisher = pub-ORA,
address = pub-ORA:adr,
pages = "xxiii + 572",
year = "2006",
ISBN = "3-89721-441-5",
ISBN-13 = "978-3-89721-441-5",
LCCN = "QA76.76.O63 R563 2005",
bibdate = "Tue Dec 23 09:41:24 MST 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.gbv.de:20011/gvk",
note = "German translation of \cite{Robbins:2005:CSS} by
Kathrin Lichtenberg.",
price = "EUR 44.00; EUR 45.65 (AT)",
URL = "http://www.gbv.de/dms/hebis-darmstadt/toc/17645067X.pdf",
acknowledgement = ack-nhfb,
language = "German",
ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
subject = "SHELL <Programmiersprache>; Skript <Programm>; UNIX",
tableofcontents = "Vorwort / ix \\
Einf{\"u}hrung / xi \\
1 Hintergrund / 1 \\
1.1 Unix-Geschichte / 1 \\
1.2 Prinzipien f{\"u}r Software-Werkzeuge / 4 \\
1.3 Zusammenfassung / 7 \\
2 Zum Einstieg / 8 \\
2.1 Skriptsprachen im Vergleich mit kompilierten
Sprachen / 8 \\
2.2 Wozu ein Shell-Skript einsetzen? / 9 \\
2.3 Ein einfaches Skript / 9 \\
2.4 Eigenst{\"a}ndige Skripten: #! in der ersten Zeile
/ 10 \\
2.5 Grundlegende Shell-Konstrukte / 13 \\
2.6 Auf Shell-Skript-Argumente zugreifen / 24 \\
2.7 Einfache {\"U}berwachung der Ausf{\"u}hrung / 26
\\
2.8 Internationalisierung und Lokalisierung / 26 \\
2.9 Zusammenfassung / 30 \\
3 Suchen und Ersetzen / 32 \\
3.1 Nach Text suchen / 32 \\
3.2 Regul{\"a}re Ausdr{\"u}cke / 35 \\
3.3 Mit Feldern arbeiten / 60 \\
3.4 Zusammenfassung / 69 \\
4 Werkzeuge zur Textverarbeitung / 71 \\
4.1 Text sortieren / 71 \\
4.2 Duplikate l{\"o}schen / 80 \\
4.3 Abs{\"a}tze umformatieren / 81 \\
4.4 Zeilen, W{\"o}rter und Zeichen z{\"a}hlen / 82 \\
4.5 Drucken / 83 \\
4.6 Die erste und die letzte Zeile extrahieren / 88 \\
4.7 Zusammenfassung / 91 \\
5 Mit Pipelines erstaunliches leisten / 92 \\
5.1 Daten aus strukturierten Textdateien extrahieren /
92 \\
5.2 Strukturierte Daten f{\"u}r das Web / 100 \\
5.3 Beim Kreuzwortr{\"a}tsel schummeln / 106 \\
5.4 Wortlisten / 108 \\
5.5 Tag-Listen / 111 \\
5.6 Zusammenfassung / 114 \\
6 Variablen, Entscheidungen treffen und Aktionen
wiederholen / 116 \\
6.1 Variablen und Arithmetik / 116 \\
6.2 Exit-Status / 128 \\
6.3 Die case-Anweisung / 137 \\
6.4 Schleifen / 138 \\
6.5 Funktionen / 144 \\
6.6 Zusammenfassung / 147 \\
7 Eingabe und Ausgabe, Dateien und Befehlsauswertung /
149 \\
7.1 Standardeingabe, Standardausgabe und
Standardfehlerausgabe / 149 \\
7.2 Zeilen lesen mit read / 150 \\
7.3 Mehr {\"u}ber Umleitungen / 152 \\
7.4 Die vollst{\"a}ndige Geschichte von printf / 157
\\
7.5 Tilde-Erweiterung und Wildcards / 162 \\
7.6 Befehlsersetzung / 166 \\
7.7 Quotierung / 172 \\
7.8 Auswertungsreihenfolge und eval / 173 \\
7.9 Integrierte Befehle / 179 \\
7.10 Zusammenfassung / 187 \\
8 Produktionsskripten / 189 \\
8.1 Pfadsuche / 189 \\
8.2 Software-Builds automatisieren / 205 \\
8.3 Zusammenfassung / 236 \\
awk bis zum Abwinken / 237 \\
9.1 Die awk-Kommandozeile / 238 \\
9.2 Das awk-Programmiermodell / 239 \\
9.3 Programm-Elemente / 240 \\
9.4 Datens{\"a}tze und Felder / 251 \\
9.5 Muster und Aktionen / 254 \\
9.6 Einzeilige Programme in awk / 256 \\
9.7 Anweisungen / 259 \\
9.8 Benutzerdefinierte Funktionen / 269 \\
9.9 Stringfunktionen / 272 \\
9.10 Numerische Funktionen / 281 \\
9.11 Zusammenfassung / 283 \\
10 Arbeiten mit Dateien / 284 \\
10.1 Dateien auflisten / 284 \\
10.2 {\"A}nderungsdaten mit touch aktualisieren / 290
\\
10.3 Tempor{\"a}re Dateien erzeugen und verwenden / 292
\\
10.4 Dateien suchen / 297 \\
10.5 Befehle ausf{\"u}hren: xargs / 313 \\
10.6 Informationen {\"u}ber den Speicherplatz im
Dateisystem / 314 \\
10.7 Dateien vergleichen / 319 \\
10.8 Zusammenfassung / 327 \\
11 Ein ausf{\"u}hrliches Beispiel: Das
Zusammenf{\"u}hren von Benutzerdatenbanken / 329 \\
11.1 Das Problem / 329 \\
11.2 Die Passwortdateien / 330 \\
11.3 Zusammenf{\"u}hren von Passwortdateien / 331 \\
11.4 {\"A}ndern der Datei-Eigent{\"u}merschaft / 339
\\
11.5 Andere Probleme aus dem wirklichen Leben / 343 \\
11.6 Zusammenfassung / 345 \\
12 Rechtschreibpr{\"u}fung / 347 \\
12.1 Das Programm spell , / 347 \\
12.2 Der Original-Unix-Prototyp zur
Rechtschreibpr{\"u}fung / 348 \\
12.3 Verbesserungen mit ispell und aspell / 350 \\
12.4 Eine Rechtschreibpr{\"u}fung in awk / 353 \\
12.5 Zusammenfassung / 374 \\
13 Prozesse / 375 \\
13.1 Prozesserzeugung / 376 \\
13.2 Prozessauflistung / 377 \\
13.3 Prozesssteuerung und -l{\"o}schung / 384 \\
13.4 Verfolgung von Systemaufrufen / 391 \\
13.5 Prozess-Accounting / 396 \\
13.6 Verz{\"o}gerte Ausf{\"u}hrung von Prozessen / 397
\\
13.7 Das /proc-Dateisystem / 403 \\
13.8 Zusammenfassung / 404 \\
14 Fragen der Shell-Portabilit{\"a}t und Erweiterungen
/ 406 \\
14.1 Stolpersteine / 406 \\
14.2 Der bash-Befehl shopt / 410 \\
14.3 Gebr{\"a}uchliche Erweiterungen / 414 \\
14.4 Download-Informationen / 428 \\
14.5 Andere erweiterte Shells im Bourne-Stil / 431 \\
14.6 Shell-Versionen / 431 \\
14.7 Shell-Initialisierung und -Beendigung / 432 \\
14.8 Zusammenfassung / 438 \\
15 Sichere Shell-Skripten: Ein Einstieg / 440 \\
15.1 Tipps f{\"u}r sichere Shell-Skripten / 440 \\
15.2 Eingeschr{\"a}nkte Shell / 443 \\
15.3 Trojanische Pferde / 445 \\
15.4 Setuid bei Shell-Skripten: Eine schlechte Idee /
446 \\
15.5 ksh93 und privilegierter Modus / 448 \\
15.6 Zusammenfassung / 449 \\
A Manpages schreiben / 451 \\
B Dateien und Dateisysteme / 466 \\
C Wichtige Unix-Befehle / 505 \\
Bibliografie / 511 \\
Glossar / 517 \\
Index / 545",
}
@Book{Robbins:2006:PSP,
author = "Arnold Robbins and Nelson H. F. Beebe",
title = "Programowanie skrypt{\'o}w pow{\l}oki",
publisher = "Helion",
address = "Gliwice, Poland",
pages = "557 + 2",
year = "2006",
ISBN = "83-246-0131-7",
ISBN-13 = "978-83-246-0131-8",
LCCN = "????",
bibdate = "Mon Feb 27 11:35:14 MST 2006",
bibsource = "alpha.bn.org.pl:210/INNOPAC;
https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/linux.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
note = "Polish translation of \cite{Robbins:2005:CSS} by
Przemys{\l}aw Szeremiota.",
URL = "http://www.empik.com/b/o/19/f1/19f16b85e0d75ae1d3a1e7062569fbb0.jpg;
http://www.empik.com/programowanie-skryptow-powloki-ksiazka,360529,p",
acknowledgement = ack-nhfb,
language = "Polish",
ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
}
@Book{Robbins:2006:SSS,
author = "Arnold Robbins and Nelson H. F. Beebe",
title = "Sh{\=o}kai shieru sukuriputo",
publisher = "Orair{\=\i} Japan",
address = "T{\=o}ky{\=o}, Japan",
pages = "345",
year = "2006",
ISBN = "4-87311-267-2",
ISBN-13 = "978-4-87311-267-1",
LCCN = "????",
bibdate = "Fri May 1 11:47:10 MDT 2015",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/linux.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
note = "Japanese translation of \cite{Robbins:2005:CSS} by Aoi
Hy{\=u}ga.",
acknowledgement = ack-nhfb,
language = "Japanese",
ORCID-numbers = "Beebe, Nelson H. F./0000-0001-7281-4263",
}
@Book{Robbins:2008:SJB,
author = "Arnold Robbins and Nelson H. F. Beebe",
title = "{Shell} Jiao Ben Xue Xi Zhi Nan = {Shell} Script Study
Guide",
publisher = pub-ORA-MEDIA,
address = pub-ORA-MEDIA:adr,
pages = "vi + 494",
year = "2008",
ISBN = "7-111-25504-6",
ISBN-13 = "978-7-111-25504-8",
LCCN = "????",
bibdate = "Mon Oct 04 10:50:45 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/linux.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
note = "Simplified Chinese translation of
\cite{Robbins:2005:CSS}.",
price = "79.00 renminbi",
acknowledgement = ack-nhfb,
language = "Mandarin Chinese",
}
@Book{Roberts:1998:MCC,
author = "Paul Roberts",
title = "Multiplicities and {Chern} Classes in Local Algebra",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xi + 303",
year = "1998",
ISBN = "0-521-47316-0",
ISBN-13 = "978-0-521-47316-3",
LCCN = "QA251.38 .R64 1998",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Rushing:1973:TE,
author = "T. Benny Rushing",
title = "Topological Embeddings",
publisher = pub-AP,
address = pub-AP:adr,
pages = "xiii + 316",
year = "1973",
ISBN = "0-12-603550-4",
ISBN-13 = "978-0-12-603550-6",
LCCN = "QA3 .P8 vol. 52",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Schmitt:1982:SEB,
author = "Klaus Schmitt",
title = "A Study of Eigenvalue and Bifurcation Problems for
Nonlinear Elliptic Partial Differential Equations via
Topological Continuation Methods",
publisher = "Universit{\'e} Catholique de Louvain, Institut de
Math{\'e}matique Pure et Appliqu{\'e}e",
address = "Louvain, Belgium",
pages = "",
year = "1982",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Schmitt:1994:PSS,
author = "Klaus Schmitt",
title = "Positive Solutions of Semilinear Elliptic Problems",
publisher = "University of Montr{\'e}al Press",
address = "Montr{\'e}al, Qu{\'e}bec, Canada",
pages = "",
year = "1994",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Book{Stenger:2016:NSE,
author = "Frank Stenger and Don Tucker and Gerd Baumann",
title = "{Navier--Stokes} Equations on {$ R^3 \times [0, T]
$}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 219",
year = "2016",
DOI = "https://doi.org/10.1007/978-3-319-27526-0",
ISBN = "3-319-27524-0 (hardcover), 3-319-27526-7 (e-book)",
ISBN-13 = "978-3-319-27524-6 (hardcover), 978-3-319-27526-0
(e-book)",
LCCN = "????",
bibdate = "Mon May 02 11:20:53 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
URL = "http://www.springer.com/us/book/9783319275246",
acknowledgement = ack-nhfb,
}
@Book{Taylor:1973:MAC,
author = "Joseph L. Taylor",
title = "Measure Algebras",
volume = "16",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "viii + 108",
year = "1973",
ISBN = "0-8218-1666-7",
ISBN-13 = "978-0-8218-1666-0",
LCCN = "QA1 .R33 no. 16",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "CBMS Regional Conference Series in Mathematics",
acknowledgement = ack-nhfb,
author-dates = "1941--2016",
}
@Book{Taylor:2002:SCV,
author = "Joseph L. Taylor",
title = "Several Complex Variables with Connections to
Algebraic Geometry and {Lie} Groups",
volume = "46",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xvi + 507",
year = "2002",
ISBN = "0-8218-3178-X",
ISBN-13 = "978-0-8218-3178-6",
LCCN = "QA331.7 .T39 2002",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Graduate Studies in Mathematics",
acknowledgement = ack-nhfb,
author-dates = "1941--2016",
}
@Book{Taylor:2011:CV,
author = "Joseph L. Taylor",
title = "Complex Variables",
volume = "16",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "ix + 305",
year = "2011",
ISBN = "0-8218-6901-9",
ISBN-13 = "978-0-8218-6901-7",
LCCN = "QA331.7 .T389 2011",
bibdate = "Wed Jan 9 19:30:56 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Pure and applied undergraduate texts",
acknowledgement = ack-nhfb,
author-dates = "1941--2016",
subject = "Functions of complex variables; Functions of a complex
variable --- Instructional exposition (textbooks,
tutorial papers, etc.)",
}
@Book{Taylor:2012:FA,
author = "Joseph L. Taylor",
title = "Foundations of Analysis",
volume = "18",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "x + 398",
year = "2012",
ISBN = "0-8218-8984-2",
ISBN-13 = "978-0-8218-8984-8",
LCCN = "QA320 .T39 2012",
bibdate = "Wed Jan 9 19:30:37 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Pure and applied undergraduate texts",
acknowledgement = ack-nhfb,
author-dates = "1941--2016",
subject = "Functional analysis; Functions of real variables; Real
functions --- Instructional exposition (textbooks,
tutorial papers, etc.); Real functions --- Functions of
one variable --- Functions of one variable; Real
functions --- Functions of several variables ---
Functions of several variables; Real functions ---
Inequalities --- Inequalities; Mathematical logic and
foundations --- Set theory --- Set theory",
}
@Book{Trombi:1983:RTR,
editor = "Peter C. Trombi",
title = "Representation theory of reductive groups: proceedings
of the {University of Utah} conference 1982",
volume = "40",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xi + 290",
year = "1983",
ISBN = "0-8176-3135-6",
ISBN-13 = "978-0-8176-3135-2",
LCCN = "QA171 .R43 1983",
bibdate = "Wed Jul 14 18:06:01 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Progress in mathematics",
acknowledgement = ack-nhfb,
}
@Book{Wilcox:1975:STD,
author = "Calvin H. Wilcox",
title = "Scattering Theory for the {d'Alembert} Equation in
Exterior Domains",
volume = "442",
publisher = pub-SV,
address = pub-SV:adr,
pages = "184",
year = "1975",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070581",
ISBN = "0-387-07144-X, 3-540-07144-X (print), 3-540-37429-9
(e-book)",
ISBN-13 = "978-0-387-07144-2, 978-3-540-07144-0 (print),
978-3-540-37429-9 (e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 442",
bibdate = "Tue May 6 14:52:19 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1970.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0070581;
http://www.springerlink.com/content/978-3-540-37429-9",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/304",
}
@Book{Wilcox:1984:SPS,
author = "Calvin H. Wilcox",
title = "Sound Propagation in Stratified Fluids",
volume = "50",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 198",
year = "1984",
ISBN = "0-387-90986-9",
ISBN-13 = "978-0-387-90986-8",
LCCN = "QA1 .A647 vol. 50 QC233",
bibdate = "Sat Jul 03 10:19:06 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Applied mathematical sciences",
acknowledgement = ack-nhfb,
}
@Book{Wilcox:1984:STD,
author = "Calvin H. Wilcox",
title = "Scattering Theory for Diffraction Gratings",
volume = "46",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 163",
year = "1984",
ISBN = "0-387-90924-9",
ISBN-13 = "978-0-387-90924-0",
LCCN = "QA1 .A647 vol. 46",
bibdate = "Sat Jul 03 10:14:01 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Applied mathematical sciences",
acknowledgement = ack-nhfb,
}
@Proceedings{Arthur:2008:RTR,
editor = "James Arthur and Wilfried Schmid and Peter E. Trapa",
booktitle = "Representation theory of real reductive {Lie} groups:
{AMS-IMS-SIAM Joint Summer Research Conference, June
4--8, 2006, Snowbird, Utah}",
title = "Representation theory of real reductive {Lie} groups:
{AMS-IMS-SIAM Joint Summer Research Conference, June
4--8, 2006, Snowbird, Utah}",
volume = "472",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "vii + 246",
year = "2008",
ISBN = "0-8218-4366-4 (paperback)",
ISBN-13 = "978-0-8218-4366-6 (paperback)",
LCCN = "QA387 .A446 2008",
bibdate = "Thu Dec 7 16:18:39 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
URL = "http://bookstore.ams.org/conm-472;
http://www.loc.gov/catdir/toc/ecip0820/2008024593.html",
acknowledgement = ack-nhfb,
meetingname = "AMS-IMS-SIAM Joint Summer Research Conference (2006:
Snowbird, Utah)",
subject = "Representations of Lie groups; Congresses",
tableofcontents = "Preface / iv \\
Guide to the Atlas Software: Computational
Representation Theory of Real Reductive Groups /
Jeffrey Adams / 1 \\
Problems for Real Groups / James Arthur / 39 \\
Unitarizable Minimal Principal Series of Reductive
Groups / Dan Barbasch, Dan Ciubotaru, and Alessandra
Pantano / 63 \\
Computations in Real Tori / Bill Casselman / 137 \\
Weighted Orbital Integrals / Werner Hoffman / 153 \\
Introduction to Endoscopy / Jean-Pierre Labesse / 175
\\
Tempered Endoscopy for Real Groups I: Geometric
Transfer with Canonical Factors / Diana Shelstad /
215",
}
@Proceedings{Bertram:2002:SHC,
editor = "Aaron Bertram and James A. Carlson and Holger Kley",
booktitle = "Symposium in honor of {C. H. Clemens}: a weekend of
algebraic geometry in celebration of {Herb Clemens}'s
60th birthday, {University of Utah, Salt Lake City,
March 10--12, 2000}",
title = "Symposium in honor of {C. H. Clemens}: a weekend of
algebraic geometry in celebration of {Herb Clemens}'s
60th birthday, {University of Utah, Salt Lake City,
March 10--12, 2000}",
volume = "312",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "ix + 289",
year = "2002",
ISBN = "0-8218-2152-0",
ISBN-13 = "978-0-8218-2152-7",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA564 .S955 2002",
bibdate = "Sat Jul 03 08:45:57 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Contemporary mathematics",
acknowledgement = ack-nhfb,
}
@Proceedings{Carlson:1991:CGL,
editor = "James A. Carlson and C. Herbert Clemens and David R.
Morrison",
booktitle = "Complex geometry and {Lie} theory, {Proceedings} of a
symposium held at {Sundance, Utah, May 26--30, 1989}",
title = "Complex geometry and {Lie} theory, {Proceedings} of a
symposium held at {Sundance, Utah, May 26--30, 1989}",
volume = "53",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "viii + 348",
year = "1991",
ISBN = "0-8218-1492-3",
ISBN-13 = "978-0-8218-1492-5",
LCCN = "QA641 .C6143 1991",
bibdate = "Sat Jul 03 08:43:37 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Proceedings of symposia in pure mathematics",
acknowledgement = ack-nhfb,
}
@Proceedings{Ethier:2008:MPR,
editor = "Stewart N. Ethier and Jin Feng and Richard H.
Stockbridge and Thomas G. Kurtz",
booktitle = "{Markov} processes and related topics: a festschrift
for {Thomas G. Kurtz}",
title = "{Markov} processes and related topics: a festschrift
for {Thomas G. Kurtz}",
volume = "4",
publisher = "Institute of Mathematical Statistics",
address = "Beachwood, OH, USA",
pages = "xv + 324",
year = "2008",
ISBN = "0-940600-76-5",
ISBN-13 = "978-0-940600-76-8",
LCCN = "????",
bibdate = "Tue May 25 18:25:42 MDT 2010",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
note = "A four-day conference held at the University of
Wisconsin, Madison, July 10--13, 2006, in celebration
of Tom Kurtz's 65th birthday.",
series = "Institute of Mathematical Statistics collections",
acknowledgement = ack-nhfb,
subject = "Markov processes; Stochastic processes",
}
@Proceedings{Hoppensteadt:1981:MAP,
editor = "F. C. Hoppensteadt",
booktitle = "Mathematical Aspects of Physiology",
title = "Mathematical Aspects of Physiology",
volume = "19",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "vi + 394",
year = "1981",
ISBN = "0-8218-1119-3",
ISBN-13 = "978-0-8218-1119-1",
LCCN = "QP33.6.M36 M37",
bibdate = "Wed May 9 11:59:04 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
z3950.loc.gov:7090/Voyager",
series = "Lectures in applied mathematics",
acknowledgement = ack-nhfb,
remark = "Proceedings of the 12th of a series of meetings;
proceedings of the 10th are entered under Summer
Seminar on Applied Mathematics (10th: 1978: University
of Utah).",
subject = "physiology; mathematics; congresses; mathematical
models",
}
@Proceedings{Knobloch:1983:EPI,
editor = "Hans Wilhelm Knobloch and Klaus Schmitt",
booktitle = "{Equadiff 82: Proceedings of the international
conference held in W{\"u}rzburg, FRG, August 23--28,
1982}",
title = "{Equadiff 82: Proceedings of the international
conference held in W{\"u}rzburg, FRG, August 23--28,
1982}",
volume = "1017",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxiii + 666",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0103230",
ISBN = "3-540-12686-4 (print), 3-540-38678-5 (e-book)",
ISBN-13 = "978-3-540-12686-7 (print), 978-3-540-38678-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Tue May 6 14:53:45 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0103230;
http://www.springerlink.com/content/978-3-540-38678-0",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/304",
}
@Proceedings{Milton:2003:PSI,
editor = "G. W. Milton and K. M. Golden and D. Dobson and Z. V.
Vardeny",
booktitle = "Proceedings of the {Sixth International Conference on
Electrical Transport and Optical Properties of
Inhomogeneous Media: ETOPIM 6, held in Snowbird, UT,
USA, 15--19 July 2002}",
title = "Proceedings of the {Sixth International Conference on
Electrical Transport and Optical Properties of
Inhomogeneous Media: ETOPIM 6, held in Snowbird, UT,
USA, 15--19 July 2002}",
volume = "338(1--4)",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xiii + 374",
year = "2003",
ISBN = "",
ISBN-13 = "",
ISSN = "0921-4526",
LCCN = "",
bibdate = "Sat Jul 03 12:05:44 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Physica B, Condensed Matter",
URL = "http://www.elseview.com/locate/physb;
https://www.math.utah.edu/etopim/",
acknowledgement = ack-nhfb,
remark = "Technical editing by Nelson H. F. Beebe and Eleen
Collins.",
xxnote = "Book cover page has incorrect A. Z. Vardeny instead of
V. Z. Vardeny.",
}
@Proceedings{Nevins:2015:RRG,
editor = "Monica Nevins and Peter E. Trapa",
booktitle = "Representations of reductive groups: in honor of the
60th birthday of {David A. Vogan, Jr.}",
title = "Representations of reductive groups: in honor of the
60th birthday of {David A. Vogan, Jr.}",
volume = "312",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xviii + 532",
year = "2015",
ISBN = "3-319-23442-0 (hardcover), 3-319-23443-9 (e-book)",
ISBN-13 = "978-3-319-23442-7 (hardcover), 978-3-319-23443-4
(e-book)",
ISSN = "0743-1643",
LCCN = "QA176 .R4855 2015",
bibdate = "Thu Dec 7 16:14:32 MST 2017",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Progress in mathematics",
URL = "http://www.springer.com/us/book/9783319234427",
abstract = "Over the last forty years, David Vogan has left an
indelible imprint on the representation theory of
reductive groups. His groundbreaking ideas have lead to
deep advances in the theory of real and p-adic groups,
and have forged lasting connections with other
subjects, including number theory, automorphic forms,
algebraic geometry, and combinatorics.",
acknowledgement = ack-nhfb,
remark = "Festschrift. Representations of Reductive Groups is an
outgrowth of the conference of the same name, dedicated
to David Vogan on his 60th birthday, which took place
at MIT on May 19--23, 2014",
subject = "Representations of groups; Linear algebraic groups;
Linear algebraic groups; Representations of groups",
tableofcontents = "Preface \\
McGovern, Trapa, The Mathematical Work of David A.
Vogan, Jr. \\
Achar, On Exotic and Perverse-Coherent Sheaves \\
Adams, Vogan, Jr., Parameters for Twisted
Representations \\
Barbasch, Ciubotaru, Ladder Representations of GL (n,
Qp) \\
Bhargava, Gross, Wang, Arithmetic Invariant Theory II:
Pure Inner Forms and Obstructions to the Existence of
Orbits \\
Bonnaf{\'e}, Geck, Hecke Algebras with Unequal
Parameters and Vogan's Left Cell Invariants \\
Graham, Li, The Smooth Loci of Spiral Schubert
Varieties of Type A2 \\
He, Centers and Cocenters of 0-Hecke Algebras \\
Huang, Dirac Cohomology, Elliptic Representations, and
Endoscopy \\
Kobayashi, A Program for Branching Problems in the
Representation Theory of Real Reductive Groups \\
Kostant, Equations for a Filtration of Sheets and The
Variety of Singular Elements of a Complex Semisimple
Lie Algebra \\
Lusztig, On Conjugacy Classes in a Reductive Group \\
Lusztig, Vogan, Jr., Hecke Algebras and Involutions in
Coxeter Groups \\
Marberg, Comparing and Characterizing some
Constructions of Canonical Bases from Coxeter Groups
\\
McGovern, Upper Semicontinuity of KLV Polynomials for
Certain Blocks of Harish-Chandra Modules \\
Schmid, Vilonen, Hodge Theory and Unitary
Representations, in the Example of SL(2,R) \\
Shelstad, On Elliptic Factors in Real Endoscopic
Transfer I \\
Wallach, On the Gelfand--Kirillov Dimension of a
Discrete Series Representation \\
Williamson, A Reducible Characteristic Variety in Type
A",
}
@Proceedings{Oliker:1990:GNP,
editor = "Vladimir Oliker and Andrejs Treibergs",
booktitle = "Geometry and Nonlinear Partial Differential Equations,
Proceedings of the {AMS Special Session held March
23--24, 1990}",
title = "Geometry and Nonlinear Partial Differential Equations,
Proceedings of the {AMS Special Session held March
23--24, 1990}",
volume = "127",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "vii + 154",
year = "1990",
ISBN = "0-8218-5135-7",
ISBN-13 = "978-0-8218-5135-7",
LCCN = "QA377 .G46 1991",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
}
@Proceedings{Othmer:1986:NOB,
editor = "Hans G. Othmer",
booktitle = "Nonlinear oscillations in biology and chemistry:
proceedings of a meeting held at the {University of
Utah, May 9--11, 1985}",
title = "Nonlinear oscillations in biology and chemistry:
proceedings of a meeting held at the {University of
Utah, May 9--11, 1985}",
volume = "66",
publisher = pub-SV,
address = pub-SV:adr,
pages = "",
year = "1986",
ISBN = "3-540-16481-2 (Berlin), 0-387-16481-2 (New York)",
ISBN-13 = "978-3-540-16481-4 (Berlin), 978-0-387-16481-6 (New
York)",
ISSN = "0341-633X",
LCCN = "",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Lecture notes in biomathematics",
acknowledgement = ack-nhfb,
}
@Proceedings{Othmer:1989:SMQ,
editor = "Hans G. Othmer",
booktitle = "Some mathematical questions in biology: the dynamics
of excitable media. {Proceedings of the 1988 Symposium
on Some Mathematical Questions in Biology, held at the
annual meeting of the American Association for the
Advancement of Science in Las Vegas, Nevada, May 4,
1988}",
title = "Some mathematical questions in biology: the dynamics
of excitable media. {Proceedings of the 1988 Symposium
on Some Mathematical Questions in Biology, held at the
annual meeting of the American Association for the
Advancement of Science in Las Vegas, Nevada, May 4,
1988}",
volume = "21",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "viii + 181",
year = "1989",
ISBN = "0-8218-1171-1",
ISBN-13 = "978-0-8218-1171-9",
ISSN = "0075-8523",
LCCN = "QP363 .S937 1988",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Lectures on mathematics in the life sciences",
acknowledgement = ack-nhfb,
}
@Proceedings{Othmer:1993:ETA,
editor = "Hans G. Othmer and Philip K. Maini and James D.
Murray",
booktitle = "Experimental and theoretical advances in biological
pattern formation, Proceedings of a {NATO Advanced
Research Workshop on Biological Pattern Formation, held
August 27--31, 1992, in Oxford, England, United
Kingdom}",
title = "Experimental and theoretical advances in biological
pattern formation, Proceedings of a {NATO Advanced
Research Workshop on Biological Pattern Formation, held
August 27--31, 1992, in Oxford, England, United
Kingdom}",
volume = "259",
publisher = pub-PLENUM,
address = pub-PLENUM:adr,
pages = "ix + 388",
year = "1993",
ISBN = "0-306-44661-8",
ISBN-13 = "978-0-306-44661-0",
LCCN = "QH491 .N38 1993",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "NATO ASI series. Series A, Life sciences",
acknowledgement = ack-nhfb,
}
@Book{Othmer:1997:CSM,
editor = "Hans G. Othmer and Frederick R. Adler and Mark A.
Lewis and John C. Dallon",
booktitle = "Case Studies in Mathematical Modeling---Ecology,
Physiology, and Cell Biology",
title = "Case Studies in Mathematical Modeling---Ecology,
Physiology, and Cell Biology",
publisher = pub-PH,
address = pub-PH:adr,
pages = "viii + 411",
year = "1997",
ISBN = "0-13-574039-8",
ISBN-13 = "978-0-13-574039-2",
LCCN = "QH541.15.M3C37 1997",
bibdate = "Tue Apr 13 07:12:35 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
price = "US\$41.00",
URL = "https://www.math.utah.edu/books/csmmepcb/index.html;
https://www.math.utah.edu/pub/tex/bib/csmmepcb.html;
http://www.phptr.com/",
acknowledgement = ack-nhfb,
}
@Book{Parthasarathy:1972:PDK,
author = "K. R. Parthasarathy and Klaus Schmidt",
title = "Positive Definite Kernels, Continuous Tensor Products,
and Central Limit Theorems of Probability Theory",
volume = "272",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 107",
year = "1972",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0058340",
ISBN = "0-387-05908-3, 3-540-05908-3 (print), 3-540-37607-0
(e-book)",
ISBN-13 = "978-0-387-05908-2, 978-3-540-05908-0 (print),
978-3-540-37607-1 (e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Tue May 6 14:51:43 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1970.bib;
https://www.math.utah.edu/pub/tex/bib/probstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib;
prodorbis.library.yale.edu:7090/voyager;
z3950.loc.gov:7090/Voyager",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0058340;
http://www.springerlink.com/content/978-3-540-37607-1",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/304",
subject = "Limit theorems (Probability theory); Kernel functions;
Tensor products; Representations of groups",
}
@Proceedings{Schmitt:1972:DFD,
editor = "Klaus Schmitt",
booktitle = "Delay and Functional Differential Equations and Their
Applications: {Conference} on Delay and Functional
Differential Equations and Their Applications, {Park
City, Utah, 1972}",
title = "Delay and Functional Differential Equations and Their
Applications: {Conference} on Delay and Functional
Differential Equations and Their Applications, {Park
City, Utah, 1972}",
publisher = pub-AP,
address = pub-AP:adr,
pages = "xi + 395",
year = "1972",
ISBN = "0-12-627250-6",
ISBN-13 = "978-0-12-627250-5",
LCCN = "QA372 .C638 1972",
bibdate = "Sat Jul 3 12:22:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Wilcox:1964:ASD,
editor = "Calvin H. Wilcox",
booktitle = "Asymptotic solutions of differential equations and
their applications; proceedings of a symposium
conducted by the Mathematics Research Center, United
States Army, at the University of Wisconsin, Madison,
May 4--6, 1964",
title = "Asymptotic solutions of differential equations and
their applications; proceedings of a symposium
conducted by the Mathematics Research Center, United
States Army, at the University of Wisconsin, Madison,
May 4--6, 1964",
volume = "13",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 249",
year = "1964",
LCCN = "QA3 .U45 no. 13",
bibdate = "Sat Jul 03 10:06:15 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
series = "Publication of the Mathematics Research Center, U.S.
Army, University of Wisconsin",
acknowledgement = ack-nhfb,
}
@Proceedings{Wilcox:1966:PTA,
editor = "Calvin H. Wilcox",
booktitle = "Perturbation theory and its applications in quantum
mechanics; proceedings of an advanced seminar conducted
by the {Mathematics Research Center, United States
Army, and the Theoretical Chemistry Institute at the
University of Wisconsin, Madison, October 4--6, 1965}",
title = "Perturbation theory and its applications in quantum
mechanics; proceedings of an advanced seminar conducted
by the {Mathematics Research Center, United States
Army, and the Theoretical Chemistry Institute at the
University of Wisconsin, Madison, October 4--6, 1965}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 428",
year = "1966",
LCCN = "QA3 .U45 no. 16",
bibdate = "Sat Jul 03 10:11:36 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
acknowledgement = ack-nhfb,
}
