Number Theory and Physics: Proceedings of the Winter School, Les Houches, France, March 7–16, 1989 - Couverture souple
Synopsis
Number Theory and Physics consists of two types of contributions: mathematicians write on problems relevant to theoretical physics, and theoretical physicists present problems relevant to number theory. This combination aims to promote understanding between the two fields, which will undoubtedly aid further developments. The topics treated include: - modular forms - spectra of operators - the Hall effect - quasicrystals - the Riemann zeta function - stochastic processes - integrable systems
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Présentation de l'éditeur
The contributions to this book can be divided into two categories: those in which mathematicians write on problems relevant to theoretical physics, and those dealing with problems relevant to number theory, written by physicists. Many recent developments in theoretical physics display aspects related to number theory, and this cooperation will be furthered by this volume. The authors from each discipline have taken pains to present their contributions in a manner that is attractive and understandable to readers from the other discipline. The subjects covered include: modular forms and applications to quantum field theory for strings, number theoretical aspects of the spectra of operators applied to the Hall effect, quasicrystals, almost periodic systems, the Riemann zeta function, applications of number theory to dynamical systems, statistical mechanics, lattices, stochastic processes and integrable systems.
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Number Theory and Physics: Proceedings of the Winter School, Les Houches, France, March 7-16, 1989 (Springer Proceedings in Physics)
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Number Theory and Physics
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2011, 2011
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 repu tation 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 p adic numbers in a remarkable way. 332 pp. Englisch. N° de réf. du vendeur 9783642754074
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Number Theory and Physics
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Number Theory and Physics
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Number Theory and Physics | Proceedings of the Winter School, Les Houches, France, March 7-16, 1989
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Taschenbuch. Etat : Neu. Number Theory and Physics | Proceedings of the Winter School, Les Houches, France, March 7-16, 1989 | Jean-Marc Luck (u. a.) | Taschenbuch | xiii | Englisch | 2011 | Springer | EAN 9783642754074 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 106367513
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Number Theory and Physics
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2011, 2011
ISBN 10 : 3642754074
ISBN 13 : 9783642754074
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 repu tation 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 p adic numbers in a remarkable way.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch. N° de réf. du vendeur 9783642754074
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