Textbooks
Many of the books that SIAM publishes can be used as textbooks in graduate and undergraduate courses. Examples and problem sets are included in our textbooks, and solutions are often available in the book or as an online supplement. Many of our texts also feature online components like additional problem sets, appendices, and program files.
SIAM also has books that can be used as supplemental course texts. If you are interested in considering one of our books for a course, please complete the examination copy request form.
Textbooks are available in the following subject areas:
Asymptotic and Perturbation Methods
Perturbations: Theory and Methods
James A. Murdock
Singular Perturbations and Hysteresis
Michael P. Mortell, Robert E. O'Malley, Alexei Pokrovskii, and Vladimir Sobolev, Editors
Asymptotic Approximations of Integrals
R. Wong
Biological Sciences
A Course in Mathematical Biology: Quantitative Modeling with Mathematical & Computational Methods
Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Müller, and Birgitt Schönfisch
Intended for upper level undergraduate students in mathematics or similar quantitative sciences. Also appropriate for beginning graduate students in biology, medicine, ecology, and other sciences.
--Sample Chapter
Mathematical Models in Biology
Leah Edelstein-Keshet
Recommended for undergraduate mathematical biology students.
Computational Mathematics and Computer Science
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Uri M. Ascher and Linda R. Petzold
Recommended for senior undergraduate or beginning graduate students
Understanding
Search Engines: Mathematical Modeling and Text Retrieval, Second Edition
Michael W. Berry and Murray Browne
Recommended for all students.
Computational Methods for Multiphase Flows in Porous Media
Zhangxin Chen, Guanren Huan, and Yuanle Ma
Recommended for graduate or advanced undergraduate students.
--Sample Chapter
Numerical Methods for Special Functions
Amparo Gil, Javier Segura, Nico Temme
Recommended for general numerical analysis courses.
--Sample Chapter
MATLAB
Guide, Second Edition
Desmond J. Higham and Nicholas J. Higham
Recommended for all students.
Sample Chapter
Finite Element Methods with B-Splines
Klaus Höllig
Recommended for graduate students.
Solving
Nonlinear Equations with Newton's Method
C. T. Kelley
Recommended for graduate students with a working knowledge of MATLAB.
Numerical
Computing with MATLAB
Cleve Moler
Recommended for all students.
Solving PDEs in C++: Numerical Methods in a Unified Object-Oriented Approach
Yair Shapira
Recommended for advanced undergraduate and graduate students.
--Sample Chapter
Numerical Polynomial Algebra
Hans J. Stetter
Recommended for graduate students.
Spectral Methods in MATLAB
Lloyd N. Trefethen
Recommended for advanced undergraduate and graduate students studying numerical
methods for PDEs.
The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods
David S. Watkins
Intended for graduate students in numerical linear algebra
--Sample Chapter
Control and Systems Theory
Approximation
of Large-Scale Dynamical Systems
Athanasios C. Antoulas
Recommended for graduate students.
--Sample
Chapter
Dynamic Noncooperative Game Theory, Second Edition
Tamer Basar and Geert Jan Olsder
Recommended for graduate-level courses on optimal control theory.
Control Perspectives on Numerical Algorithms and Matrix Problems
Amit Bhaya and Eugenius Kaszkurewicz
Recommended for senior undergraduate and graduate students.
--Sample
Chapter
Applied Stochastic
Processes and Control for Jump Diffusions: Modeling, Analysis, and
Computation
Floyd B. Hanson
This book is written for graduate students in applied mathematics, science and engineering.
--Sample Chapter
Classical
Control Using H∞ Methods: An Introduction to Design
J. William Helton and Orlando Merino
Recommended as supplementary text for students of control at any level; main
text for course on practial H∞ design.
Classical
Control Using H∞ Methods: Theory, Optimization, and Design
J. William Helton and Orlando Merino
Recommended for an advanced seminar in control theory in engineering departments
or applied functional or complex analysis in mathematics departments; second
course in control at senior undergraduate or beginning graduate level.
Nonlinear
Output Regulation: Theory and Applications
Jie Huang
Recommended for graduate students.
Adaptive Control Tutorial
Petros Ioannou and Baris Fidan
Recommended for graduate students.
-- Sample Chapter
Singular Perturbation Methods in Control: Analysis and Design
Petar Kokotovic, Hassan K. Khalil, and John O'Reilly
Suitable for a graduate level introduction to singular perturbation methods in control.
Neuro-Fuzzy
Control of Industrial Systems with Actuator Nonlinearities
F. L. Lewis, J. Campos, and R. Selmic
Recommended for graduate students.
Nonlinear
Systems Analysis, Second Edition
M. Vidyasagar
Recommended for graduate students.
Linear Feedback Control: Analysis and Design with MATLAB
Dingyü Xue, YangQuan Chen, and Derek P. Atherton
-- Sample Chapter
Data Mining
Matrix Methods in Data Mining and Pattern Recognition
Lars Eldén
Suitable for undergraduate students who have previously taken an introductory scientific computing/numerical analysis course. Graduate students in various data mining and pattern recognition areas who need an introduction to linear algebra techniques will also find the book useful.
-- Sample Chapter
Dynamical Systems
Approximation
of Large-Scale Dynamical Systems
Athanasios C. Antoulas
Recommended for graduate students.
--Sample
Chapter
Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students
Bard Ermentrout
Numerical Methods for Bifurctaions of Dynamical Equilibria
Willy J. F. Govaerts
Recommended for graduate students.
Differential Dynamical Systems
James D. Meiss
Recommended for senior undergraduates and first-year graduate students.
-- Sample Chapter
Economics
Mathematical Optimization and Economic Theory
Michael D. Intriligator
Recommended for graduate students and advanced undergraduate students.
Education
Ants, Bikes, and Clocks: Problem Solving for Undergraduates
William Briggs
Handbook of Writing for the Mathematical Sciences, Second Edition
Nicholas J. Higham
Fluid Mechanics
Transonic Aerodynamics: Problems in Asymptotic Theory
L. Pamela Cook, Editor
Vortex Methods and Vortex Motion
Karl E. Gustafson and James A. Sethian, Editors
Mathematical Biofluiddynamics
Sir James Lighthill
Mathematical Analysis of Viscoelastic Flows
Michael Renardy
Navier-Stokes Equations and Nonlinear Functional Analysis, Second Edition
Roger Temam
Image Processing
Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods
Tony F. Chan and Jianhong (Jackie) Shen
Recommended for graduate students.
Introduction to the Mathematics of Medical Imaging, Second Edition
Charles L. Epstein
Recommended for advanced undergraduate or beginning graduate level students.
--Sample Chapter
Linear Algebra and Matrix Theory
Spectral Properties of Banded Toeplitz Matrices
Albrecht Böttcher, Sergei M. Grudsky, Editors
Portions of this text are suitable for use as a graduate-level text on Toeplitz matrices or analysis.
-- Sample
Chapter
Direct Methods for Sparse Linear Systems
Timothy A. Davis
Recommended for graduate students.
Applied Numerical Linear Algebra
James W. Demmel
Recommended as a first year graduate textbook for a numerical linear algebra
course.
Matrix Methods in Data Mining and Pattern Recognition
Lars Eldén
Suitable for undergraduate students who have previously taken an introductory scientific computing/numerical analysis course. Graduate students in various data mining and pattern recognition areas who need an introduction to linear algebra techniques will also find the book useful.
-- Sample Chapter
Invariant Subspaces of Matrices with Applications
Israel Gohberg, Peter Lancaster and Leiba Rodman
Recommended for readers who have had undergraduate-level courses in linear algebra and complex function theory.
Matrix
Analysis for Scientists and Engineers
Alan J. Laub
Recommended for graduate students.
--Sample Chapter
Matrix
Analysis and Applied Linear Algebra
Carl D. Meyer
Recommended for undergraduate and beginning graduate courses in applied linear
algebra. Includes CD-ROM and Solution's Manual.
The book can be viewed online at www.matrixanalysis.com.
Iterative Solution of Nonlinear Equations in Several Variables
J. M. Ortega and W. C. Rheinboldt
Recommended as an introduction for graduate students.
Iterative
Methods for Sparse Linear Systems, Second Edition
Yousef Saad
Recommended for graduate students.
Numerical
Linear Algebra
Lloyd N. Trefethen and David Bau, III
Recommended as an introductory graduate textbook for a numerical linear algebra
course.
Material Science
Smart Material Systems: Model Development
Ralph C. Smith
Recommended for graduate students.
Numerical Analysis
Computational
Methods for Option Pricing
Yves Achdou and Olivier Pironneau
Recommended for advanced graduate students.
The
SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing
Folkmar Bornemann, Dirk Laurie, Stan Wagon, and Jörg Waldvogel
Recommended for graduate students.
The Finite Element Method for Elliptic Problems
Philippe G. Ciarlet
Recommended for graduate students.
Collected
Lectures on the Preservation of Stability Under Discretization
Donald Estep and Simon Tavener, Editors
Recommended for graduate students.
Numerical Methods for Special Functions
Amparo Gil, Javier Segura, Nico Temme
Recommended for general numerical analysis courses.
--Sample Chapter
Functions of Matrices: Theory and Computation
Nicholas J. Higham
Recommended for graduate students.
--Sample Chapter
Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
Randall J. LeVeque
Recommended for introductory graduate-level courses.
-- Sample Chapter
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation
Béatrice Rivière
Recommended for graduate students.
Afternotes
on Numerical Analysis
G. W. Stewart
Recommended as a supplement for an introductory numerical analysis course.
Afternotes
Goes to Graduate School
G. W. Stewart
Recommended as a supplemental text for graduate courses in scientific computing
and numerical analysis.
Finite Difference Schemes and Partial Differential Equations, Second Edition
John C. Strikwerda
Recommended for gradaute students.
--Sample Chapter
Optimization
Linear Programming with MATLAB
Michael C. Ferris, Olvi L. Mangasarian, and Stephen J. Wright
Recommended for junior- and senior-level undergraduate students, first-year graduate students, and researchers unfamiliar with linear programming.
--Sample Chapter
Methods of Mathematical Economics:
Linear and Nonlinear Programming, Fixed-Point Theorems
Joel N. Franklin
Recommended for graduate and undergraduate students of mathematics and
finance.
Mathematical Optimization and Economic Theory
Michael D. Intriligator
Recommended for graduate and undergraduate students of mathematics and
economics.
Iterative Methods for Linear and Nonlinear Equations
C. T. Kelley
A PDF file
of this book is available for download. Copyright ©1995 by
the Society for industrial and Applied Mathematics. This electronic
version is for personal use and may not be duplicated or distributed.
Iterative Methods for Optimization
C. T. Kelley
A PDF file of
this book is available for download. Copyright ©1999 by
the Society for Industrial and Applied Mathematics. This electronic
version is for personal use and may not be duplicated or distributed.
Ordinary and Partial Differential Equations
Computer
Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Uri M. Ascher and Linda R. Petzold
A first course in the numerical solution of differential equations at either
a senior undergraduate or beginning graduate level.
Linear Ordinary Differential Equations
Earl A. Coddington and Robert Carlson
Recommended for graduate and advanced undergraduate students in mathematics, engineering, and science.
Partial Differential Equations: Analytical and Numerical Methods
Mark S. Gockenbach
Recommended for graduate students in applied mathematics and for undergradate
and graduate students in engineering and physics.
Understanding and Implementing the Finite Element Method
Mark S. Gockenbach
Recommended for advanced undergraduates and beginning graduate students in mathematics, engineering, and the physical sciences.
-- Sample Chapter
Ordinary
Differential Equations: Second Edition
Philip Hartman
Recommended for advanced undergraduate and graduate students in mathematics,
physics, and engineering.
Partial
Differential Equations: Modeling, Analysis, Computation
R. M. M. Matthiej, S. W. Rienstra, and J. M. M. ten Thije Boonkamp
Recommended for advanced undergraduate and graduate students.
-- Sample Chapter
Perturbations: Theory and Methods
James A. Murdock
This text can be used before or after a traditional graduate course in ordinary differential equations.
Physical Applied Mathematics and Mathematical Modeling
Lectures on Mathematical Combustion
John D. Buckmaster and Geoffrey S. S. Ludford
Dynamics of Internal Layers and Diffusive Interfaces
Paul C. Fife
The Cauchy Problem in Kinetic Theory
Robert T. Glassey
Suitable for advanced graduate students.
Continuum Modeling in the Physical Sciences
E. van Groesen and Jaap Molenaar
Recommended for graduate students and advanced undergraduate students.
-- Sample Chapter
Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow
Richard Haberman
Mathematical Modeling: Classroom Notes in Applied Mathematics
Murray S. Klamkin, Editor
Mathematics Applied to Continuum Mechanics
Lee A. Segel with additional material on elasticity by G. H. Handelman
This is an ideal text for upper-level undergraduate and graduate students in the fields of applied mathematics, science, and engineering.
Mathematics Applied to Deterministic Problems in the Natural Sciences
C.C. Lin and L.A Segel
Boundary Value Problems of Mathematical Physics
Ivar Stakgold
Suitable for introductory level graduate courses.
Probability and Statistics
Anthology of Statistics in SportsJim Albert, Jay Bennett, and James L. Cochran, Editors
Recommended as supplementary material for statistics courses.
Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer
Intensive Methods
Jenny Baglivo
Recommended for undergraduate students. Techniques are accessible to students
with little or no experience with Mathematica.
-- Sample Chapter
-- Sample Lab from
CD
Engineering
Reliability
Richard E. Barlow
Recommended for an upper undergraduate or beginning graduate course on engineering
reliability. Instructor Manual available upon request.
Probability
Leo Breiman
Recommended for use as a graduate-level text in one- or two-semester courses in probability for students who are familiar with basic measure theory, or as a supplement in courses in stochastic processes or mathematical statistics.
Selection and Ordering Populations: A New Statistical Methodology
Jean Dickinson Gibbons, Ingram Olkin, and Milton Sobel
Suitable for students with a first-year knowledge of statistics.
Basic
Concepts of Probablility and Statistics, Second Edition
J. L. Hodges, Jr. and E. L. Lehmann
Recommended for high school and undergraduate students
Introduction to Matrix Analytic Methods in Stochastic Modeling
G. Latouche and V. Ramaswami
Recommended for graduate students and advanced undergraduates.
The
Analysis of Means: A Graphical Method for Comparing Means, Rates, and Proportions
Peter R. Nelson, Peter S. Wludyka, and Karen A. F. Copeland
Recommended for graduate students.
-- Sample Chapter
Applied
Adaptive Statistical Methods: Tests of Significance and Confidence Intervals
Thomas W. O'Gorman
Recommended as a supplementary text in a course on regression analysis.
Stochastic Processes
Emanuel Parzen
Suitable for an introductory course on probability model building.
Statistical
Case Studies: A Collaboration Between Academe and Industry
Roxy Peck, Larry D. Haugh, and Arnold Goodman
Recommended for a statistical consulting course and as a supplement to any
statistics course.
Optimal Design of Experiments
Friedrich Pukelsheim
Indispensible for anyone involved in planning statistical experiments, including mathematical statisticians, applied statisticians, and mathematicians interested in matrix optimization problems.
Fuzzy
Logic and Probability Applications: Bridging the Gap
Timothy J. Ross, Jane M. Booker, and W. Jerry Parkinson, Editors
-- Sample Chapter
Real and Complex Analysis
Functions of a Complex Variable: Theory and Technique
George F. Carrier, Max Krook, and Carl E. Pearson
Recommended for graduate students and advanced undergraduate students.
Numerical Methods for Special Functions
Amparo Gil, Javier Segura, Nico Temme
Recommended for general numerical analysis courses.
--Sample Chapter
Waves
Solitons and the Inverse Scattering Transform
Mark J. Ablowitz and Harvey Segur
Solitons in Mathematics and Physics
Alan C. Newell