Items related to Boundary Value Problems: Replacement Disk
Synopsis
Boundary Value Problems, Fourth Edition is a revision of a textbook for an introductory course on boundary value problems. Powers has written an overview of solving partial differential equations by the methods of separation of variables. The text is comprised of five parts.
"synopsis" may belong to another edition of this title.
Book Description
Updated edition of the leading text on boundary value problems and Fourier series
From the Back Cover
The long awaited revision of David Powers' classic Boundary Value Problems achieves two objectives. The main goal is solving boundary value problems involving partial differential equations. Separation of variables provides a uniform method for attacking important cases of the heat, wave, and potential equations. DiAlembertis solution of the wave equation and the distributed-source solution for the heat equation illustrate other techniques. In addition, there is a chapter on Laplace transform and one on numerical methods, including use of spreadsheets.
The second objective is to tie together the mathematics developed and the learner's physical intuition. This is accomplished by deriving several of the mathematical models, by using some physical reasoning in the mathematical development, by interpreting mathematical results in physical terms, and by studying the heat, wave, and potential equations separately.
"The new edition is an improvement over the third edition. Some of the strengths of the new edition are a clear and casual style f presentation, a large number of worked examples and exercises, numerous graphs and tables that illustrate concepts, and several new applied modeling problems."
--Michael Smiley, Iowa State University
"I enjoyed the clever way in which he motivates the introduction to Sturm-Leouville problems in Chapter 2, showing them to be a natural consequence of the separation if variables method. The new section (2.12) on applications of the error function was a pleasant surprise, as this topic is not addressed in most books."
--Jim Mueller, California Polytechnic State University
"The exercise sets are very good. There are several exercises--especially some recently added-that are excellent examples of more novel topics."
--Lawrence Schovanee, Texas Tech University
"This book will continue to be held in high regard.."
--James V. Herod, Georgia Institute of Technology
"About this title" may belong to another edition of this title.
- PublisherAcademic Pr
- Publication date1999
- ISBN 10 0125637357
- ISBN 13 9780125637350
- BindingHardcover
- Edition number4
- Rating
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