Boundary Value Problems - Hardcover

Powers, David L.

Hardcover

ISBN 10: 0155055356 ISBN 13: 9780155055353

Publisher: Cengage Learning, 1980

Synopsis

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.

About this title

Review

"One must always look at a text that is to have an appeal for engineering students to see if the mathematician/author has written the text too directed toward the mathematician's eye. The popularity of this text is evidence that the book strikes about the right intuitive note. Students have seen many of the problems in their engineering courses and find here a foundation in which those ideas from their engineering classes can be made more precise." -- James Herod, Georgia Tech

"A very readable book." -- Ron Perline, Drexel University

"The students will appreciate the complete working out of several examples and the graphs to illustrate solutions. Instructors will appreciate the multitude of theoretical and applied exercises from which to choose for assignments." -- Kathie Yerion, Gonzaga University

From the Back Cover

Boundary Value Problems is the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations.

In this updated edition, author David Powers provides a thorough overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Additional techniques used include Laplace transform and numerical methods. Professors and students agree that Powers is a master at creating examples and exercises that skillfully illustrate the techniques used to solve science and engineering problems.

Features:
*CD-ROM with animations and graphics of solutions, additional exercises and chapter review questions-all new in the Fifth Edition
* Nearly 900 exercises ranging in difficulty from basic drills to advanced problem-solving exercises
* Many exercises based on current engineering applications
* An Instructor's Manual and Student Solutions Manual are available separately

"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

"[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
Also available:
Student Solutions Manual for Boundary Value Problems, Fifth Edition, ISBN: 0120885867
|Boundary Value Problems is the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations.

In this updated edition, author David Powers provides a thorough overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Additional techniques used include Laplace transform and numerical methods. Professors and students agree that Powers is a master at creating examples and exercises that skillfully illustrate the techniques used to solve science and engineering problems.

Features:
*CD-ROM with animations and graphics of solutions, additional exercises and chapter review questions-all new in the Fifth Edition
* Nearly 900 exercises ranging in difficulty from basic drills to advanced problem-solving exercises
* Many exercises based on current engineering applications
* An Instructor's Manual and Student Solutions Manual are available separately

"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

"[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
Also available:
Student Solutions Manual for Boundary Value Problems, Fifth Edition, ISBN: 0120885867

Edition details

• Publisher: Cengage Learning
• Publication date: 1980
• Language: English
• ISBN 10: 0155055356
• ISBN 13: 9780155055353
• Binding: Hardcover
• Edition number: 3
• Number of pages: 351