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Fourier Analysis and Boundary Value Problems
 
 

Fourier Analysis and Boundary Value Problems, 1st Edition

 
Fourier Analysis and Boundary Value Problems, 1st Edition,Enrique Gonzalez-Velasco,ISBN9780122896408
 
 
 

  

Academic Press

9780122896408

9780080531939

551

229 X 152

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Key Features

@introbul:Key Features
@bul:* 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

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.

Readership

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.

Enrique Gonzalez-Velasco

Affiliations and Expertise

University of Massachusetts

Fourier Analysis and Boundary Value Problems, 1st Edition

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.

Quotes and reviews

@qu:"This is a lovely book. I would want to have it on my shelf as a serious Fourier Analyst...For history and mathematics this book rates very high both in scholarship and exposition...I would insist on my library getting it. It starts carefully and moves ahead to advanced material including Lebesgue integration."
@source:--John Gilbert, University of Texas
@qu:"Gonzalez-Velasco makes historical development of the subject a major theme. For me this makes the book very interesting...this interweaving of history, integration, and PDE/BVP reads very nicely...Plenty of good exercises...very well written."
@source:--Keith Phillips, University of Colorado, Colorado Springs
 
 

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