Boundary Value Problems

Boundary Value Problems : and Partial Differential Equations

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Description

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.
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Product details

  • Hardback | 520 pages
  • 149.9 x 228.6 x 30.5mm | 793.8g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 5th edition
  • 0125637381
  • 9780125637381
  • 1,777,787

Review quote

(Boundary Value Problems) contains many novel problems inspired by the scientific literature. I appreciate that many of these problems include realsitic parameter values, and that I can easily extend them to make them more open-ended or to involve numeric or symbolic mathematical programs.
Darryl Yong, Harvey Mudd
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About David L. Powers

David Powers has taught applied mathematics for over 40 years. His research includes matrix theory, graph theory and applications to biochemistry and engineering.
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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
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Review Text

"[Boundary Value Problems] contains many novel problems inspired by the scientific literature. I appreciate that many of these problems include realistic parameter values, and that I can easily extend them to make them more open-ended or to involve numeric or symbolic mathematical programs."
-Darryl Yong, Harvey Mudd College

"This book provides a great introduction to solving partial differential equations. Students will find the level of the text to be understandable. The pace is comfortable where review and fundamental building blocks reinforce student skills while directing these details toward application in later sections."
-Catherine Crawford, Elmhurst College
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