Fourier analysis and boundary value problems

Enrique A. Gonzalez-Velasco9780122896408, 0122896408

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Key Features * Topics are covered from a historical perspective with biographical information on key contributors to the field * The text contains more than 500 exercises * Includes practical applications of the equations to problems in both engineering and physics

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Table of contents :
Cover……Page 1
Preface……Page 2
Contents……Page 5
Chapter 01……Page 7
Chapter 02……Page 29
Chapter 03……Page 90
Chapter 04……Page 139
Chapter 05……Page 171
Chapter 06……Page 213
Chapter 07……Page 243
Chapter 08……Page 272
Chapter 09……Page 308
Chapter 10……Page 357
Chapter 11……Page 416
Chapter 12……Page 457
Appendix A – Uniform Convergence……Page 512
Appendix B – Improper Integrals……Page 524
Appendix C – Tables of Fourier and Laplace Transforms……Page 541
Appendix D Historical Bibliography……Page 545
Index……Page 549