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

Bautista, Maurino P.,Troutman, John L.

ISBN 10: 0486812227 / ISBN 13: 9780486812229

Published by Dover Publications, 2017

About this Item

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Bibliographic Details

• Title: Boundary Value Problems of Applied Mathematics: Second Edition (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2017
• Language: English
• ISBN 10: 0486812227
• ISBN 13: 9780486812229
• Binding: paperback
• Condition: Very Good

About this title

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 the Author

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