Boundary Value Problems of Applied Mathematics: Second Edition (Dover Books on Mathematics) - Softcover

Troutman, John L.; Bautista, Maurino P.

Softcover

ISBN 10: 0486812227 ISBN 13: 9780486812229

Publisher: Dover Publications, 2017

Synopsis

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.

About this title

About the Author

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

From the Back Cover

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.
Dover corrected and enlarged republication of the work originally published by the PWS Publishing Company, Boston, 1994. 
www.doverpublications.com

Edition details

• Publisher: Dover Publications
• Publication date: 2017
• Language: English
• ISBN 10: 0486812227
• ISBN 13: 9780486812229
• Binding: Paperback
• Number of pages: 512