From Number Theory To Physics »

Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, self-contained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint.

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A completed and extended version of the lectures given at an interdisciplinary meeting on number theory and physics held in Haute- Savoie, France, in March 1989. Each chapter is self- contained and deals with topics that include: elliptic curves, modular forms, Zeta functions, Galois theory, Riemann surfaces, p-adic analysis, circle maps, small divisors, and applications of number theory to physical problems such as classical and quantum dynamical systems, and periodic and nonperiodic lattices. Annotation c. Book News, Inc., Portland, OR (booknews.com)