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Mathematica as a Tool : An introduction with practical examples / by Stephan Kaufmann

データ種別 電子ブック
出版者 Basel : Birkhäuser Basel
出版年 1994
本文言語 英語
大きさ IX, 430 p : online resource

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URL 電子ブック


EB0088563

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内容注記 1. Basics
1.1 Getting Started
1.2 Help!
1.3 Numerical Calculations
1.4 Symbolic Calculations
1.5 Plots: Different Pendulums
1.6 Lists
1.7 Graphics Programming
1.8 More Selected Tools
2. Structure
2.1 Expressions
2.2 Patterns
2.3 Transformation Rules and Definitions
2.4 Evaluation and Tools for Programming
2.5 Modularity
2.6 Strings, Text, Messages
3. Programming
3.1 Programming Methodologies
3.2 Developing Programs
3.3 Numerics
3.4 Long Calculations: RSA
References
一般注記 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
著者標目 *Kaufmann, Stephan author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Chemometrics
LCSH:Computer software
LCSH:Physics
LCSH:Computational intelligence
FREE:Mathematics
FREE:Mathematical Software
FREE:Math. Applications in Chemistry
FREE:Mathematics, general
FREE:Computational Intelligence
FREE:Theoretical, Mathematical and Computational Physics
分 類 DC23:004
巻冊次 ISBN:9783034885263 REFWLINK
ISBN 9783034885263
URL http://dx.doi.org/10.1007/978-3-0348-8526-3
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