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Zusatztext "It is a whirlwind review of mathematical methods used to solve linear and nonlinear boundary-value problems. The best aspect of this book is its immersion in Mathematica! which is treated as a full partner in presenting the material. ?A list of codes?and an appendix that lists all of the Mathematica commands used in the text are nice touches. ?It will appeal to those who are looking for new perspectives! especially with Mathematica! on familiar topics that they learned elsewhere. It could also be used as a supplementary text in a course which uses an older! standard textbook."-SIAM Review! Dean Duffy! Annapolis! Maryland "This book is a good example of how to explain and how to use the Mathematica functions and add-on packages for solving various physical and engineering problems from the simplest to the most difficult ones. It is a new type of book! which provides an accessible guide for doing computer aided mathematics."-Zentralblatt MATH 1044 Informationen zum Autor Cap, Ferdinand F. Klappentext Mathematical Methods in Physics and Engineering with Mathematica provides a reference for practicing engineers, mathematicians, and scientists confronted by difficult problems in ordinary and differential equations and boundary value problems. The author demonstrates how to solve such problems using the software package Mathematica (4.x). The book includes a number of new special solution methods, such as the Lie series method, boundary point collocation methods, and techniques for boundary problems with a hole in the domain, some typical inseparable boundary problems, and problems with very arbitrary forms of the boundary. Mathematica and FORTRAN codes will be available for download from the Internet. Zusammenfassung Demonstrates how to use Mathematica 4.x to solve difficult problems involving ordinary and partial differential equations and boundary value problems. This book helps readers learn by doing with step-by-step recipes useful in both new and classical applications. It includes explanations of various Mathematica commands with examples and exercises. Inhaltsverzeichnis Introduction. Boundary Problems of Ordinary Differential Equations. Partial Differential Equations. Boundary Problems with One Closed Boundary. Boundary Problems with Two Closed Boundaries. Nonlinear Boundary Problems. References. Appendix. Index....
