Mathematica as a Tool: An introduction with practical examples
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1994
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | More than ten years ago, I wanted to carry out coordinate transformations for Hamiltonian systems, in order to discuss the stability of certain equilibrium positions. 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 formulas, 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 computer algebra program produces the solution within a couple of seconds or minutes. 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 |
| Beschreibung: | 1 Online-Ressource (IX, 430 p) |
| ISBN: | 9783034885263 9783764350314 |
| DOI: | 10.1007/978-3-0348-8526-3 |
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| 500 | |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 positions. 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 formulas, 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 computer algebra program produces the solution within a couple of seconds or minutes. 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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Datensatz im Suchindex
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| author | Kaufmann, Stephan |
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| dewey-hundreds | 000 - Computer science, information, general works |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8526-3 |
| format | Electronic eBook |
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| isbn | 9783034885263 9783764350314 |
| language | English |
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| spelling | Kaufmann, Stephan Verfasser aut Mathematica as a Tool An introduction with practical examples by Stephan Kaufmann Basel Birkhäuser Basel 1994 1 Online-Ressource (IX, 430 p) txt rdacontent c rdamedia cr rdacarrier More than ten years ago, I wanted to carry out coordinate transformations for Hamiltonian systems, in order to discuss the stability of certain equilibrium positions. 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 formulas, 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 computer algebra program produces the solution within a couple of seconds or minutes. 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 Mathematics Chemistry / Mathematics Computer software Engineering Mathematical Software Math. Applications in Chemistry Computational Intelligence Theoretical, Mathematical and Computational Physics Chemie Ingenieurwissenschaften Mathematik Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-8526-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kaufmann, Stephan Mathematica as a Tool An introduction with practical examples Mathematics Chemistry / Mathematics Computer software Engineering Mathematical Software Math. Applications in Chemistry Computational Intelligence Theoretical, Mathematical and Computational Physics Chemie Ingenieurwissenschaften Mathematik Mathematica Programm (DE-588)4268208-3 gnd |
| subject_GND | (DE-588)4268208-3 |
| title | Mathematica as a Tool An introduction with practical examples |
| title_auth | Mathematica as a Tool An introduction with practical examples |
| title_exact_search | Mathematica as a Tool An introduction with practical examples |
| title_full | Mathematica as a Tool An introduction with practical examples by Stephan Kaufmann |
| title_fullStr | Mathematica as a Tool An introduction with practical examples by Stephan Kaufmann |
| title_full_unstemmed | Mathematica as a Tool An introduction with practical examples by Stephan Kaufmann |
| title_short | Mathematica as a Tool |
| title_sort | mathematica as a tool an introduction with practical examples |
| title_sub | An introduction with practical examples |
| topic | Mathematics Chemistry / Mathematics Computer software Engineering Mathematical Software Math. Applications in Chemistry Computational Intelligence Theoretical, Mathematical and Computational Physics Chemie Ingenieurwissenschaften Mathematik Mathematica Programm (DE-588)4268208-3 gnd |
| topic_facet | Mathematics Chemistry / Mathematics Computer software Engineering Mathematical Software Math. Applications in Chemistry Computational Intelligence Theoretical, Mathematical and Computational Physics Chemie Ingenieurwissenschaften Mathematik Mathematica Programm |
| url | https://doi.org/10.1007/978-3-0348-8526-3 |
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