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Number Theory and Physics


Menge:  Stück  
Produktinformationen
cover
cover
Artikel-Nr.:
     5667A-9783642754074
Hersteller:
     Springer Verlag
Herst.-Nr.:
     9783642754074
EAN/GTIN:
     9783642754074
Suchbegriffe:
Chemische Technik
Chemische Technik - englischsprachi...
allgemeine Technikbücher
allgemeine Technikbücher - englisch...
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.
Weitere Informationen:
Author:
Jean-Marc Luck; Pierre Moussa; Michel Waldschmidt
Verlag:
Springer Berlin
Sprache:
eng
Weitere Suchbegriffe: chemische technik - englischsprachig, Arithmetic; Number Theory; Quasicrystal; Riemann zeta function; Theoretical physics; algebraic number theory; crystal; dynamical systems; zeta function, Riemann zeta function, algebraic number theory, arithmetic, crystal, dynamical systems, number theory, quasicrystal, theoretical physics, zeta function
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