Numerical Analysis for Applied Science

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John Wiley & Sons, 1998 - Mathematics - 492 pages
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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.
  

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Contents

Some Useful Tools
1
Approximation of Functions
27
Direct Methods for Linear Systems
109
Solution of Nonlinear Equations
161
Iterative Methods for Linear Systems
221
Eigenvalue Problems
283
Numerical Integration
313
Ordinary Differential Equations
349
Difference Methods for PDEs
395
Introduction to Finite Elements
447
Divided Differences
477
Chebyshev Polynomials
483
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About the author (1998)

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.

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