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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Updated edition of the leading text on boundary value problems and Fourier seriesFrom the Back Cover:
The long awaited revision of David Powers' classic Boundary Value Problemsachieves 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
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Book Description Book Condition: Brand New. Book Condition: Brand New. Bookseller Inventory # 97801256376021.0