Mathematica as a Tool : An introduction with practical examples / by Stephan Kaufmann
データ種別 | 電子ブック |
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出版者 | Basel : Birkhäuser Basel |
出版年 | 1994 |
本文言語 | 英語 |
大きさ | IX, 430 p : online resource |
書誌詳細を非表示
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 |
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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 |
ISBN | 9783034885263 |
URL | http://dx.doi.org/10.1007/978-3-0348-8526-3 |
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