Mathematica as a Tool

An Introduction with Practical Examples

By: Stephan Kaufmann

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Paperback | 1 September 1994

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448 Pages

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25.4 x 17.78 x 2.31

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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.

Industry Reviews

"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

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You Can Find This Book In

Non-Fiction Computing & I.T.Business Applications Mathematical & Statistical Software Mathematics Computer Science Artificial Intelligence Engineering & Technology Technology in General Engineering in General Electronics & Communications Engineering Electronics Engineering

Science Chemistry Physical Chemistry Physics Mathematical Physics

Introduction	p. 1
Basics
Getting Started	p. 9
Help!	p. 14
Numerical Calculations	p. 17
Symbolic Calculations	p. 44
Plots: Different Pendulums	p. 81
Lists	p. 138
Graphics Programming	p. 172
More Selected Tools	p. 190
Structure
Expressions	p. 229
Patterns	p. 233
Transformation Rules and Definitions	p. 251
Evaluation and Tools for Programming	p. 268
Modularity	p. 290
Strings, Text, Messages	p. 308
Programming
Programming Methodologies	p. 331
Developing Programs	p. 342
Numerics	p. 368
Long Calculations: RSA	p. 384
References	p. 395
Index	p. 399
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematica as a Tool

An Introduction with Practical Examples

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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