e martë, 11 dhjetor 2007

Transform Methods for Solving Partial Differential Equations

Dean G. Duffy, "Transform Methods for Solving Partial Differential Equations"
Chapman & Hall/CRC; 2 edition (June 26, 2004) | ISBN: 1584884517 | 728 pages | Djvu | 6,1 Mb

The discussed solutions typically involve quite difficult algebra, while non-trivial mathematical steps, such as a change of order of integration or expansion into infinite series (product) are not justified. This gives the book more of an 'engineering' flavour; nonetheless it is certainly of interest to a wider interest.
-EMS Newsletter, Sept. 2005

The book contains many examples and exercises taken from a wide variety of scientific and engineering sources. Also numerical examples are presented using Matlab to help readers for better understanding of the physical problems.
-Studia Univ. Babes-Bolyai Mathematica, Sept. 2005

Book Description
Transform Methods for Solving Partial Differential Equations illustrates the use of Laplace, Fourier, and Hankel transforms to solve partial differential equations encountered in science and engineering. This second edition is expanded to provide a broader perspective on the applicability and use of transform methods. It classifies the problems presented in every chapter by type of region, coordinate system and partial differential equation. Many of the problems included in the book are illustrated to show the reader what they will look like physically. Unlike many mathematics texts, this book provides a step-by-step analysis of problems taken from the actual scientific and engineering literature.

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