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Springer Proceedings in Physics

Number Theory and Physics

Proceedings of the Winter School, Les Houches, France, March 7–16, 1989

Editors: Luck, Jean-Marc, Moussa, Pierre, Waldschmidt, Michel (Eds.)

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About this book

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.

Table of contents (32 chapters)

Table of contents (32 chapters)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-3-642-75405-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $159.00
price for USA in USD
  • ISBN 978-3-642-75407-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Number Theory and Physics
Book Subtitle
Proceedings of the Winter School, Les Houches, France, March 7–16, 1989
Editors
  • Jean-Marc Luck
  • Pierre Moussa
  • Michel Waldschmidt
Series Title
Springer Proceedings in Physics
Series Volume
47
Copyright
1990
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-75405-0
DOI
10.1007/978-3-642-75405-0
Softcover ISBN
978-3-642-75407-4
Series ISSN
0930-8989
Edition Number
1
Number of Pages
XIII, 311
Topics

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