Number Theory and Physics: Proceedings of the Winter School, Les Houches, France, March 7–16, 1989
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1990
|
| Schriftenreihe: | Springer Proceedings in Physics
47 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics. It also has the false reputation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical and natural sciences have experienced numerous unexpected relationships to number theory. The book entitled Number Theory in Science and Communication, by M.R. Schroeder (Springer Series in Information Sciences, Vol. 7, 1984) provides plenty of examples of cross-fertilization between number theory and a large variety of scientific topics. The most recent developments of theoretical physics have involved more and more questions related to number theory, and in an increasingly direct way. This new trend is especially visible in two broad families of physical problems. The first class, dynamical systems and quasiperiodicity, includes classical and quantum chaos, the stability of orbits in dynamical systems, K.A.M. theory, and problems with "small denominators", as well as the study of incommensurate structures, aperiodic tilings, and quasicrystals. The second class, which includes the string theory of fundamental interactions, completely integrable models, and conformally invariant two-dimensional field theories, seems to involve modular forms and padic numbers in a remarkable way |
| Beschreibung: | 1 Online-Ressource (XIII, 311p. 45 illus) |
| ISBN: | 9783642754050 9783642754074 |
| ISSN: | 0930-8989 |
| DOI: | 10.1007/978-3-642-75405-0 |
Internformat
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| 245 | 1 | 0 | |a Number Theory and Physics |b Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 |c edited by Jean-Marc Luck, Pierre Moussa, Michel Waldschmidt |
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| 500 | |a 7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics. It also has the false reputation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical and natural sciences have experienced numerous unexpected relationships to number theory. The book entitled Number Theory in Science and Communication, by M.R. Schroeder (Springer Series in Information Sciences, Vol. 7, 1984) provides plenty of examples of cross-fertilization between number theory and a large variety of scientific topics. The most recent developments of theoretical physics have involved more and more questions related to number theory, and in an increasingly direct way. This new trend is especially visible in two broad families of physical problems. The first class, dynamical systems and quasiperiodicity, includes classical and quantum chaos, the stability of orbits in dynamical systems, K.A.M. theory, and problems with "small denominators", as well as the study of incommensurate structures, aperiodic tilings, and quasicrystals. The second class, which includes the string theory of fundamental interactions, completely integrable models, and conformally invariant two-dimensional field theories, seems to involve modular forms and padic numbers in a remarkable way | ||
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Datensatz im Suchindex
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| author2 | Luck, Jean-Marc Moussa, Pierre Waldschmidt, Michel |
| author2_role | edt edt edt |
| author2_variant | j m l jml p m pm m w mw |
| author_facet | Luck, Jean-Marc Moussa, Pierre Waldschmidt, Michel |
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| dewey-full | 548 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
| dewey-raw | 548 |
| dewey-search | 548 |
| dewey-sort | 3548 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik |
| doi_str_mv | 10.1007/978-3-642-75405-0 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:53Z |
| institution | BVB |
| isbn | 9783642754050 9783642754074 |
| issn | 0930-8989 |
| language | English |
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| spelling | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 edited by Jean-Marc Luck, Pierre Moussa, Michel Waldschmidt Berlin, Heidelberg Springer Berlin Heidelberg 1990 1 Online-Ressource (XIII, 311p. 45 illus) txt rdacontent c rdamedia cr rdacarrier Springer Proceedings in Physics 47 0930-8989 7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics. It also has the false reputation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical and natural sciences have experienced numerous unexpected relationships to number theory. The book entitled Number Theory in Science and Communication, by M.R. Schroeder (Springer Series in Information Sciences, Vol. 7, 1984) provides plenty of examples of cross-fertilization between number theory and a large variety of scientific topics. The most recent developments of theoretical physics have involved more and more questions related to number theory, and in an increasingly direct way. This new trend is especially visible in two broad families of physical problems. The first class, dynamical systems and quasiperiodicity, includes classical and quantum chaos, the stability of orbits in dynamical systems, K.A.M. theory, and problems with "small denominators", as well as the study of incommensurate structures, aperiodic tilings, and quasicrystals. The second class, which includes the string theory of fundamental interactions, completely integrable models, and conformally invariant two-dimensional field theories, seems to involve modular forms and padic numbers in a remarkable way Physics Number theory Crystallography Number Theory Statistical Physics, Dynamical Systems and Complexity Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1989 LesHouches gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1989 Les Houches gnd-content Zahlentheorie (DE-588)4067277-3 s Mathematische Physik (DE-588)4037952-8 s 3\p DE-604 Physik (DE-588)4045956-1 s 4\p DE-604 Luck, Jean-Marc edt Moussa, Pierre edt Waldschmidt, Michel edt Springer Proceedings in Physics 47 (DE-604)BV000018744 47 https://doi.org/10.1007/978-3-642-75405-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 Springer Proceedings in Physics Physics Number theory Crystallography Number Theory Statistical Physics, Dynamical Systems and Complexity Zahlentheorie (DE-588)4067277-3 gnd Physik (DE-588)4045956-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4045956-1 (DE-588)4037952-8 (DE-588)1071861417 |
| title | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 |
| title_auth | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 |
| title_exact_search | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 |
| title_full | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 edited by Jean-Marc Luck, Pierre Moussa, Michel Waldschmidt |
| title_fullStr | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 edited by Jean-Marc Luck, Pierre Moussa, Michel Waldschmidt |
| title_full_unstemmed | Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 edited by Jean-Marc Luck, Pierre Moussa, Michel Waldschmidt |
| title_short | Number Theory and Physics |
| title_sort | number theory and physics proceedings of the winter school les houches france march 7 16 1989 |
| title_sub | Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 |
| topic | Physics Number theory Crystallography Number Theory Statistical Physics, Dynamical Systems and Complexity Zahlentheorie (DE-588)4067277-3 gnd Physik (DE-588)4045956-1 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Physics Number theory Crystallography Number Theory Statistical Physics, Dynamical Systems and Complexity Zahlentheorie Physik Mathematische Physik Konferenzschrift 1989 LesHouches Konferenzschrift 1989 Les Houches |
| url | https://doi.org/10.1007/978-3-642-75405-0 |
| volume_link | (DE-604)BV000018744 |
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