
Boundary Value Problems
and Partial Differential Equations
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Boundary Value Problems, Fifth Edition, is the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professors and students agree that Powers is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering. His expertise is fully apparent in this updated text. The text progresses at a comfortable pace for undergraduates in engineering and mathematics, illustrating the classical methods with clear explanations and hundreds of exercises. This updated edition contains many new features, including nearly 900 exercises ranging in difficulty, chapter review questions, and many fully worked examples. This text is ideal for professionals and students in mathematics and engineering, especially those working with partial differential equations.
Key Features
- Nearly 900 exercises ranging in difficulty
- Many fully worked examples
Readership
Professional and students in mathematics and engineering especially those working with partial differential equations
Table of Contents
- Preface
Chapter 0 -- Differential Equations
Chapter 1 -- Fourier Series and Integrals
Chapter 2-- The Heat Equation
Chapter 3 -- The Wave Equation
Chapter 4 -- The Potential Equation
Chapter 5 -- Higher Dimensions & Other Coordinates
Chapter 6 -- Laplace Transform
Chapter 7 -- Numerical Methods
Bibliography
Appendix
Answers to Odd Numbered Exercises
Index
Product details
- No. of pages: 520
- Language: English
- Copyright: © Academic Press 2005
- Published: October 19, 2005
- Imprint: Academic Press
- eBook ISBN: 9780080470795
About the Author
David Powers
David Powers has taught applied mathematics for over 40 years. His research includes matrix theory, graph theory and applications to biochemistry and engineering.
Affiliations and Expertise
Clarkson University, Potsdam, NY, USA