Mathematica as a Tool: An introduction with practical examples - Softcover

Kaufmann, Stephan

Softcover

ISBN 10: 3764350318 ISBN 13: 9783764350314

Publisher: Birkhäuser, 1994

Synopsis

More than ten years ago, I wanted to carry out coordinate transformations for Hamiltonian systems, in order to discuss the stability of certain equilibrium posi­ tions. Basically, the calculations only involved rational expressions, but they turned out to be extremely complicated, because the third and fourth order terms had to be included. After several months of filling whole blocks of paper with for­ mulas, I was close to resignation. But, by a lucky incident, I met a colleague who showed me the computer algebra package Reduce. It still required a lot of patience and tricks, but Reduce finally did produce the desired results. After this experience, I wondered, why only a few engineers and scientists were aware of the strengths of such computer algebra programs. The mathematical treatment of scientific problems often leads to calculations which can only be solved "by hand" with a considerable investment of time, while a suitable com­ puter algebra program produces the solution within a couple of seconds or min­ utes. Even if a closed symbolic solution is not possible, such programs can often simplify a problem, before the cruder tool of numerical simulations is applied.

About this title

Review

"Provides engineers, scientists, and applied mathematicians with a compact introduction to Mathematica, a software program combining computer algebra, graphics, animations, an elegant programming language, and numerical tools. Helps readers gain the skills necessary to use the program as a tool in their work."
-- Journal of Economic Literature

"This book is a valuable introductory textbook on Mathematica and is very useful to scientists and engineers who use Mathematica in their work."
-- Zentralblatt Math

"This book is very nicely written and recommended to everybody."
-- EMS Newsletter

Synopsis

The software program "Mathematica" combines symbolic and numerical calculations, plots, graphics programming, list calculations and structured documentation into a unified, interactive environment. This book introduces the program and shows, with practical examples, how even more complex problems can be solved with just a few commands. The first part gives an overview of the main commands of "Mathematica". It is followed by a study of the detailed syntax and the evaluation process. This knowledge is the basis for programming in "Mathematica", which constitutes the third part of the book.

Edition details

• Publisher: Birkhäuser
• Publication date: 1994
• Language: English
• ISBN 10: 3764350318
• ISBN 13: 9783764350314
• Binding: Paperback
• Number of pages: 439