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Other titles in the Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts series:
Numerical Analysis for Applied Science (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)by Myron B. Allen
Synopses & Reviews
Combines the Rigor of a Numerical Analysis Text with the Practical Guidance of a Methods Text Numerical Analysis for Applied Science is a graduate-level text suitable for both scientists and engineers as well as applied mathematicians. Each chapter begins with the motivation and construction of the methods under discussion, moves on to practical considerations associated with their implementation, and concludes with an in-depth treatment of rigorous mathematical details. The chapter-end problem sets include both theoretical and computational exercises. The authors provide a broad selection of current numerical methods, especially those used in scientific computation involving differential equations. The text also introduces many topics often omitted in books at this level, including:
* Multidimensional interpolation
* Quasi-Newton methods
* Multigrid methods
* QR methods of eigenvalues
* Finite elements
* And many more
Book News Annotation:
Suitable as a first graduate-level text for applied mathematicians, scientists, and engineers, this volume requires familiarity with a computer programming language and, ideally but not necessarily, some exposure to numerics. The volume's ten chapters cover useful tools; approximation of functions; direct methods for linear systems; solution of nonlinear equations; iterative methods for linear systems; Eigenvalue problems; numerical integration; ordinary differential equations; difference methods for PDEs; and introduction to finite elements.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Written for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in "Numerical Analysis" and "Numerical Methods." It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and computational exercises.
This look at numerical analysis reviews methods, implementation and basic theoretical results. It explores these results and their proofs in detail. Most of the information is relevant to the various modern stages in the numerical solution of differential equations.
About the Author
MYRON B. ALLEN III is Professor and Head of Mathematics at the University of Wyoming. He earned his AB at Dartmouth College and an MA and PhD at Princeton University. His research publications include works in numerical analysis, scientific computation, and fluid flows in porous media. ELI L. ISAACSON is Professor Emeritus of Mathematics at the University of Wyoming. He earned his BA, MS, and PhD at the Courant Institute of New York University. His research contributions include articles in differential equations, numerical analysis, and various areas of applied mathematics.
Table of Contents
Approximation of Functions.
Direct Methods for Linear Systems.
Solution of Nonlinear Equations.
Iterative Methods for Linear Systems.
Ordinary Differential Equations.
Difference Methods for PDEs.
Introduction to Finite Elements.
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