Partial Differential Equations with Fourier Series and Boundary Value Problems: Third Edition

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Courier Dover Publications, Sep 21, 2016 - Mathematics - 816 pages
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This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section.
Relevant Mathematica files are available for download from author Nakhlé Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the Instructor's Solutions Manual is available upon request for professors and potential teachers. The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations.
Dover republication of the 2005 edition originally published by Pearson/Prentice-Hall, Inc., Upper Saddle River, New Jersey, with minor revisions.
www.doverpublications.com

 

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Contents

Fourier Series
17
Supplement on Convergence
77
Partial Differential Equations in Rectangular Coordinates
103
4
193
5
269
6
325
7
389
8
479
Greens Functions and Conformal Mappings
611
APPENDIXES
A-1
Linear Ordinary Differential Equations
A-10
Linear Ordinary Differential Equations
A-21
The Power Series Method Part I
A-28
The Power Series Method Part II
A-40
The Method of Frobenius
A-51
B Tables of Transforms
A-65

9
515
Sampling and Discrete Fourier Analysis with
546
An Introduction to Quantum Mechanics
573
References
A-73
Index
A-99
193
A-102

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About the author (2016)

Nakhlé H. Asmar is Professor of Mathematics at the University of Missouri, Columbia. He is also the author of Applied Complex Analysis with Partial Differential Equations.

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