Integrability and Nonintegrability in Geometry and Mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1988
|
| Schriftenreihe: | Mathematics and Its Applications (Soviet Series)
31 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. 1hen one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin' . • 1111 Oulik'. n. . Chi" •. • ~ Mm~ Mu,d. ", Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics |
| Beschreibung: | 1 Online-Ressource (XV, 343 p) |
| ISBN: | 9789400930698 9789401078801 |
| ISSN: | 0169-6378 |
| DOI: | 10.1007/978-94-009-3069-8 |
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789400930698 9789401078801 |
| issn | 0169-6378 |
| language | English |
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| spelling | Fomenko, A. T. Verfasser aut Integrability and Nonintegrability in Geometry and Mechanics by A. T. Fomenko Dordrecht Springer Netherlands 1988 1 Online-Ressource (XV, 343 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications (Soviet Series) 31 0169-6378 Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. 1hen one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin' . • 1111 Oulik'. n. . Chi" •. • ~ Mm~ Mu,d. ", Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics Mathematics Topological Groups Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 https://doi.org/10.1007/978-94-009-3069-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fomenko, A. T. Integrability and Nonintegrability in Geometry and Mechanics Mathematics Topological Groups Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik Differentialgleichung (DE-588)4012249-9 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4139943-2 |
| title | Integrability and Nonintegrability in Geometry and Mechanics |
| title_auth | Integrability and Nonintegrability in Geometry and Mechanics |
| title_exact_search | Integrability and Nonintegrability in Geometry and Mechanics |
| title_full | Integrability and Nonintegrability in Geometry and Mechanics by A. T. Fomenko |
| title_fullStr | Integrability and Nonintegrability in Geometry and Mechanics by A. T. Fomenko |
| title_full_unstemmed | Integrability and Nonintegrability in Geometry and Mechanics by A. T. Fomenko |
| title_short | Integrability and Nonintegrability in Geometry and Mechanics |
| title_sort | integrability and nonintegrability in geometry and mechanics |
| topic | Mathematics Topological Groups Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik Differentialgleichung (DE-588)4012249-9 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| topic_facet | Mathematics Topological Groups Geometry Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik Differentialgleichung Hamiltonsches System |
| url | https://doi.org/10.1007/978-94-009-3069-8 |
| work_keys_str_mv | AT fomenkoat integrabilityandnonintegrabilityingeometryandmechanics |