Fourier Analysis and Boundary Value Problems
- 1st Edition - November 18, 1996
- Imprint: Academic Press
- Author: Enrique A. Gonzalez-Velasco
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 2 8 9 6 4 0 - 8
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 9 2 2 1 - 5
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 3 1 9 3 - 9
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 m… Read more
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Request a sales quoteFourier 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.
- 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
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
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
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
- Edition: 1
- Published: November 18, 1996
- No. of pages (eBook): 551
- Imprint: Academic Press
- Language: English
- Hardback ISBN: 9780122896408
- Paperback ISBN: 9780123992215
- eBook ISBN: 9780080531939
EG
Enrique A. Gonzalez-Velasco
Affiliations and expertise
University of MassachusettsRead Fourier Analysis and Boundary Value Problems on ScienceDirect