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Cover image for Numerical computing with MATLAB
Title:
Numerical computing with MATLAB
Personal Author:
Edition:
Rev ed.
Publication Information:
Philadelphia : Society for Industrial and Applied Mathematics, 2008
Physical Description:
xi, 336 p. : ill. ; 26 cm.
ISBN:
9780898716603

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30000010293621 QA297 M625 2004 Open Access Book Book
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Summary

Summary

This is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing, which emphasises the informed use of mathematical software. Numerical Computing with MATLAB helps readers learn about the mathematical functions in MATLAB, how to appreciate their limitations, and how to use and modify them appropriately. The book makes extensive use of computer graphics, and provides more than 70 M-files, which can be downloaded from the text Web site www.mathworks.com/moler. Many of the numerous exercises involve modifying and extending these programs. The theory can be adapted to apply to modern problems from cryptography, touch-tone dialing, Google page-ranking, atmospheric science and image processing, as well as classical problems from physics and engineering. This book will appeal to advanced undergraduate and beginning graduate students in science and engineering. This revision includes changes and corrections made since the book was originally published in 2004.


Author Notes

Cleve B. Moler is Chairman and Chief Scientist at The MathWorks. He has previously been a professor of mathematics and computer science at the University of Michigan, Stanford University and the University of New Mexico. He subsequently worked with two computer hardware manufacturers, the Intel Hypercube organization and Ardent Computers. His professional interests centre on numerical analysis and scientific computing. He is the original author of MATLAB , as well as one of the authors of the LINPACK and EISPACK scientific libraries for matrix computation. He is also co-author of three textbooks on numerical methods. He has served SIAM as a journal editor, Council member, Vice-President and, since 1996, a member of the Board of Trustees.


Reviews 1

Choice Review

With a plethora of MATLAB-based texts, some will ask why there is one more. This reviewer asks, why not? Other authors follow their own unique styles and in most cases discuss topics not covered in other books. Moler is chairman and chief scientist at The Mathworks, and one can be certain that he knows his stuff in mathematics and numerical computing. The book begins with an introduction to MATLAB, presenting some interesting discussions on the golden ratio, Fibonacci series, cryptography, and other topics. It continues with linear equations, permutation, matrix factorization methods, interpolation, methods of finding the zeros and roots of nonlinear equations, least squares, ordinary and partial differential equations, Fourier series and transforms, random numbers, eigenvalues, singular values, and many other related topics. The MATLAB functions are well illustrated with several examples. ^BSumming Up: Highly recommended for academic libraries and mathematicians as well as instructors teaching this subject. Upper-division undergraduates through professionals. S. T. Karris University of California, Berkeley


Table of Contents

Preface
1 Introduction to MATLAB
2 Linear equations
3 Interpolation
4 Zeros and roots
5 Least squares
6 Quadrature
7 Ordinary differential equations
8 Fourier analysis
9 Random numbers
10 Eigenvalues and singular values
11 Partial differential equations
Bibliography
Index
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