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Numerical Methods / Edition 4
     

Numerical Methods / Edition 4

by J. Douglas Faires
 

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ISBN-10: 0495114766

ISBN-13: 2900495114764

Pub. Date: 04/23/2012

Publisher: Cengage Learning

This text emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. The authors provide a sophisticated introduction to various appropriate approximation techniques; they show students why the methods work, what type of errors to expect, and when an application might lead to

Overview

This text emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. The authors provide a sophisticated introduction to various appropriate approximation techniques; they show students why the methods work, what type of errors to expect, and when an application might lead to difficulties; and they provide information about the availability of high-quality software for numerical approximation routines
The techniques covered in this text are essentially the same as those covered in the Sixth Edition of these authors' top-selling Numerical Analysis text, but the emphasis is much different. In Numerical Methods, Second Edition, full mathematical justifications are provided only if they are concise and add to the understanding of the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the student that the method is reasonable both mathematically and computationally.

Product Details

ISBN-13:
2900495114764
Publisher:
Cengage Learning
Publication date:
04/23/2012
Edition description:
New Edition
Pages:
608

Table of Contents

1. Mathematical Preliminaries and Error Analysis. 2. Solutions of Equations of One Variable. 3. Interpolation and Polynomial Approximation. 4. Numerical Integration and Differentiation. 5. Numerical Solution of Initial-Value Problems. 6. Direct Methods for Solving Linear Systems. 7. Iterative Methods for Solving Linear Systems. 8. Approximation Theory. 9. Approximating Eigenvalues. 10. Solutions of Systems of Nonlinear Equations. 11. Boundary-Value Problems for Ordinary Differential Equations. 12. Numerical Methods for Partial Differential Equations. References. Answers to Odd-Numbered Exercises. Index.

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