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Name:Chebyshev Polynomials~tqw~_darksiderg

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INFO
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Title................: Chebyshev Polynomials
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 2.82 MB
Torrent Hash.........: 5C57A2E8F9A531A857B2676B39CC053613FE8FB1
Posted by............: ~tqw~

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CONTENTS
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Chebyshev Polynomials~tqw~_darksiderg preview 0
Synopsis:
Chebyshev polynomials are important in approximation theory and in the
development of spectral methods for the solution of ordinary and partial
differential equations. This book gives an up-to-date exposition on the
theoretical and practical roles of the Chebyshev polynomials. Theoretical
discussions focus on definitions and properties as well as the key formulae
for generating the polynomials and computing the expressions that involve
them. Practical discussions center on applications that include polynomial
approximation, rational approximation, integration, integral equations, and
ordinary and partial differential equations, particularly the tau and
spectral methods.

Table Of Contents:
1 Definitions 1
2 Basic Properties and Formulae 19
3 The Minimax Property and Its Applications 41
4 Orthogonality and Least-Squares Approximation 71
5 Chebyshev Series 105
6 Chebyshev Interpolation 145
7 Near-Best L[subscript [infinity]], L[subscript 1] and L[subscript p] Approximations 165
8 Integration Using Chebyshev Polynomials 177
9 Solution of Integral Equations 203
10 Solution of Ordinary Differential Equations 231
11 Chebyshev and Spectral Methods for Partial Differential Equations 261
12 Conclusion 303
Bibliography 305
App. A: Biographical Note 321
App. B: Summary of Notations, Definitions and Important Properties 323
App. C Tables of Coefficients 329
Index 335

Product Details:
* ISBN: 0849303559
* ISBN-13: 9780849303555
* Format: Hardcover, 350pp
* Publisher: Taylor & Francis, Inc.
* Pub. Date: September 2002

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