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Computer Algebra Recipes for Mathematical Physics {purestevil}release

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Computer Algebra Recipes for Mathematical Physics





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Author(s) : Richard H. Enns

Publisher : Birkhauser Boston; 1 edition

Date       : 2004

Pages     : 390

Format    : PDF

ISBN       : 0817632239 





This book is a self-contained guide to problem-solving and exploration in mathematical physics using the powerful Maple
9.5 computer algebra system (CAS). With a CAS one cannot only crunch numbers and plot results, but also carry out the
symbolic manipulations which form the backbone of mathematical physics. The heart of this text consists of over 230
useful and stimulating "classic" computer algebra worksheets or recipes, which are systematically organized to
cover the major topics presented in the standard Mathematical Physics course offered to third or fourth year
undergraduate physics and engineering students. The emphasis here is on applications, with only a brief summary of the
underlying theoretical ideas being presented. The aim is to show how computer algebra can not only implement the methods
of mathematical physics quickly, accurately, and efficiently, but can be used to explore more complex examples which are
tedious or difficult or even impossible to implement by hand. 



No prior knowledge of Maple is assumed in this text, the relevant command structures being introduced on a need-to-know
basis. The recipes are thoroughly annotated and, on numerous occasions, presented in a "story" format or in a
historical context. Each recipe takes the reader from the analytic formulation or statement of a representative type of
mathematical physics problem to its analytic or numerical solution and to a graphical visualization of the answer, where
relevant. The graphical representations vary from static 2-dimensional pictures, to contour and vector field plots, to
3-dimensional graphs that can be rotated, to animations in time. For your convenience, all 230 recipes are included on
the accompanying CD. 

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