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140122 ||| eng |
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|a 9783034885263
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| 100 |
1 |
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|a Kaufmann, Stephan
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| 245 |
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|a Mathematica as a Tool
|h Elektronische Ressource
|b An introduction with practical examples
|c by Stephan Kaufmann
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| 250 |
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|a 1st ed. 1994
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| 260 |
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|a Basel
|b Birkhäuser
|c 1994, 1994
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| 300 |
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|a IX, 430 p
|b online resource
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| 505 |
0 |
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|a 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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| 653 |
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|a Chemometrics
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| 653 |
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|a Computational intelligence
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| 653 |
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|a Computational Intelligence
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| 653 |
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|a Mathematical Applications in Chemistry
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| 653 |
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|a Computer software
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Mathematics
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| 653 |
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|a Theoretical, Mathematical and Computational Physics
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| 653 |
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|a Mathematical Software
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 028 |
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|a 10.1007/978-3-0348-8526-3
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-0348-8526-3?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 510.285
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| 520 |
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|a 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
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