Boundary Value Problems of Applied Mathematics: Second Edition

Boundary Value Problems of Applied Mathematics: Second Edition


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Boundary Value Problems of Applied Mathematics: Second Edition by John L. Troutman, Maurino P. Bautista

Addressing both physical and mathematical aspects, this self-contained text on boundary value problems is geared toward advanced undergraduates and graduate students in mathematics. Prerequisites include some familiarity with multidimensional calculus and ordinary differential equations.
A brief introductory section precedes the two-part treatment, which begins with coverage of basic theory. Topics include Fourier series of periodic functions, linear boundary value problems, diffusion problems related to the heat equation, steady-state problems involving the potential equation, and propagation problems incorporating the wave equation. The second part focuses on extensions, exploring general second-order linear equations and systems, series methods, integral transform methods, and Sturm–Liouville problems. Problem sets appear throughout the text, along with a substantial section of answers to selected problems. This corrected edition includes a new Preface and an updated Appendix.

Product Details

ISBN-13: 9780486812229
Publisher: Dover Publications
Publication date: 06/21/2017
Series: Dover Books on Mathematics
Edition description: Enlarged
Pages: 512
Sales rank: 1,200,962
Product dimensions: 6.10(w) x 9.10(h) x 1.10(d)

About the Author

John L. Troutman is Professor Emeritus of Mathematics, Syracuse University. Maurino Bautista is Professor of Mathematics, Rochester Instititue of Technology.

Table of Contents

Part One: Basic Theory
1. Fourier Series of Periodic Functions
2. Linear Boundary Value Problems
3. Diffusion Problem: The Heat Equation
4. Steady-State Problems: The Potential Equation
5. Propagation Problems: The Wave Equation
Part II: Extensions
6. General Second-Order Linear Equations; Systems
7. Series Methods
8. Integral Transform Methods
9. Storm-Liouville Problems
Answers to Selected Problems
Boundary Value Problems and MAPLE

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