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 | FOURIER ANALYSIS AND BOUNDARY VALUE PROBLEMS
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By
Enrique Gonzalez-Velasco, University of Massachusetts
Description
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.
Audience
Students in courses on Fourier analysis, Fourier series, partial differential equations, and/or boundary value problems. These courses
are taken by students majoring in engineering, physics, and mathematics. The audience also includes practicing engineers and mathematicians
who will use the book as a reference. Prerequisites are calculus and a course in ordinary differential equations.
Contents
A Heated Discussion. Fourier Series. Return to the Heated Bar. Generalized Fourier Series. The Wave Equation. Orthogonal Systems. Fourier
Transforms. Laplace Transforms. Boundary Value Problems in Higher Dimensions. Boundary Value Problems with Circular Symmetry. Boundary
Value Problems with Spherical Symmetry. Uniform Convergence. Improper Integrals. Tables of Fourier and Laplace Transforms. Historical
Bibliography. Index.
| Bibliographic details |
Hardbound, 551 pages, publication date: NOV-1996
ISBN-13: 978-0-12-289640-8
ISBN-10: 0-12-289640-8
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
EUR 98.95 USD 118 GBP 74
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Last update: 12 Jun 2009
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