This edition of a standard continues to develop the mathematical methods in a problem-solving context. Applicatons and real-world situations lead to generalizations of mathematical theory. Physics is used to develop the mathematical problems while mathematical solutions are interpreted in physical terms. Chapters 0, 5, 6, and 7 are optional. allowing either a theoretical or applied course. Extensive coverage of methods for solving partial differential equations. Heat, wave, and potential equations are treated separately. In chapter 0, new sections cover homogeneous linear equations, and Green's functions. Proof of convergence is new Section 1.7. Infinite domains treated in context. Several computer programs in BASIC have been added to Chapter 7.
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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.
"[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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