Applications of the Theory of Groups in Mechanics and Physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2004
|
| Schriftenreihe: | Fundamental Theories of Physics
140 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non contradictory formulations for the investigated phenomena |
| Beschreibung: | 1 Online-Ressource (XIV, 446 p) |
| ISBN: | 9781402020476 9789048165810 |
| DOI: | 10.1007/978-1-4020-2047-6 |
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| 500 | |a The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non contradictory formulations for the investigated phenomena | ||
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Datensatz im Suchindex
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| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4020-2047-6 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:20:47Z |
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| isbn | 9781402020476 9789048165810 |
| language | English |
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| spelling | Teodorescu, Petre P. Verfasser aut Applications of the Theory of Groups in Mechanics and Physics by Petre P. Teodorescu, Nicolae-Alexandru P. Nicorovici Dordrecht Springer Netherlands 2004 1 Online-Ressource (XIV, 446 p) txt rdacontent c rdamedia cr rdacarrier Fundamental Theories of Physics 140 The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non contradictory formulations for the investigated phenomena Mathematics Topological Groups Differential equations, partial Nuclear physics Topological Groups, Lie Groups Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Nuclear Physics, Heavy Ions, Hadrons Mathematik Nicorovici, Nicolae-Alexandru P. Sonstige oth https://doi.org/10.1007/978-1-4020-2047-6 Verlag Volltext |
| spellingShingle | Teodorescu, Petre P. Applications of the Theory of Groups in Mechanics and Physics Mathematics Topological Groups Differential equations, partial Nuclear physics Topological Groups, Lie Groups Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Nuclear Physics, Heavy Ions, Hadrons Mathematik |
| title | Applications of the Theory of Groups in Mechanics and Physics |
| title_auth | Applications of the Theory of Groups in Mechanics and Physics |
| title_exact_search | Applications of the Theory of Groups in Mechanics and Physics |
| title_full | Applications of the Theory of Groups in Mechanics and Physics by Petre P. Teodorescu, Nicolae-Alexandru P. Nicorovici |
| title_fullStr | Applications of the Theory of Groups in Mechanics and Physics by Petre P. Teodorescu, Nicolae-Alexandru P. Nicorovici |
| title_full_unstemmed | Applications of the Theory of Groups in Mechanics and Physics by Petre P. Teodorescu, Nicolae-Alexandru P. Nicorovici |
| title_short | Applications of the Theory of Groups in Mechanics and Physics |
| title_sort | applications of the theory of groups in mechanics and physics |
| topic | Mathematics Topological Groups Differential equations, partial Nuclear physics Topological Groups, Lie Groups Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Nuclear Physics, Heavy Ions, Hadrons Mathematik |
| topic_facet | Mathematics Topological Groups Differential equations, partial Nuclear physics Topological Groups, Lie Groups Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Nuclear Physics, Heavy Ions, Hadrons Mathematik |
| url | https://doi.org/10.1007/978-1-4020-2047-6 |
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