Boundary Value Problems, Fourth Edition, continues to be the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough, theoretical overview of solving partial differential equations by the methods of separation of variables. The text is comprised of five comprehensive parts which include: a prerequisite summary of ordinary differential equations, Fourier series, and solving linear partial differential equations by separation of variable methods, by Laplace transform methods, and by numerical methods. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering problems.
Rezensionen / Stimmen
"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 there 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
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science Publishing Co Inc
Zielgruppe
Für höhere Schule und Studium
Editions-Typ
Illustrationen
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-563734-3 (9780125637343)
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Schweitzer Klassifikation
Ordinary Differential Equations Fourier Series and Integrals The Heat Equation The Wave Equation The Potential Equation Problems in Several Dimensions Laplace Transforms Numerical Methods
