Number Theory and Physics - Proceedings of the Winter School, Les Houches, France, March 7-16, 1989 (Paperback, Softcover reprint of the original 1st ed. 1990)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Proceedings in Physics, 47
Release date:	December 2011
First published:	1990
Editors:	Jean-Marc Luck • Pierre Moussa • Michel Waldschmidt
Dimensions:	242 x 170 x 19mm (L x W x T)
Format:	Paperback
Pages:	311
Edition:	Softcover reprint of the original 1st ed. 1990
ISBN-13:	978-3-642-75407-4
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids) Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	3-642-75407-4
Barcode:	9783642754074

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