Computer Algebra Recipes for Mathematical Physics (Using Maple 9.5)
| Date: 06 May 2011, 00:40
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Note: CD-ROM is not included.
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 (not included in this post).
Amazon.com
Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn.
Key features:
* Uses the MAPLE computer algebra system to allow the reader to easily and quickly change the mathematical models and the parameters and then generate new answers
* No prior knowledge of MAPLE is assumed; the relevant MAPLE commands are introduced on a need-to-know basis
* All recipes are contained on a CD-ROM provided with the text
* All MAPLE commands are indexed for easy reference
* A classroom-tested story/anecdote format is used, accompanied with amusing or thought-provoking quotations
* Study problems, which are presented as Supplementary Recipes, are fully solved and annotated and also provided on the CD-ROM
This is a self-contained and standalone text, similar in style and format to Computer Algebra Recipes: A Gourmet's Guide to Mathematical Models of Science (ISBN 0-387-95148-2), Springer New York 2001 and Computer Algebra Recipes for Classical Mechanics (ISBN 0-8176-4291-9), Birkhauser 2003. Computer Algebra Recipes for Mathematical Physics may be used in the classroom, for self-study, as a reference, or as a text for an online course.
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