Fourier Series and Boundary Value Problems / Edition 7

Fourier Series and Boundary Value Problems / Edition 7

by James Brown, Ruel Churchill, Ruel V. Churchill
     
 

Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main

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Overview

Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.

Product Details

ISBN-13:
9780073051932
Publisher:
McGraw-Hill Companies, The
Publication date:
08/28/2006
Edition description:
REV
Pages:
384
Product dimensions:
7.00(w) x 9.10(h) x 1.15(d)

Table of Contents

Preface
1Partial Differential Equations of Physics1
2Fourier Series39
3The Fourier Method105
4Boundary Value Problems129
5Sturm-Liouville Problems and Applications168
6Fourier Integrals and Applications217
7Bessel Functions and Applications242
8Legendre Polynomials and Applications293
9Uniqueness of Solutions321
Bibliography336
Index341

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