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From Number Theory to Physics - Michel Waldschmidt

From Number Theory to Physics

By: Michel Waldschmidt (Editor), Pierre Moussa (Editor), Jean-Marc Luck (Editor), Claude Itzykson (Editor)


Published: 9th November 1995
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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.

An Introduction to Zeta Functionsp. 1
Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varietiesp. 64
Elliptic Curvesp. 212
Introduction to Modular Formsp. 238
Decorated Elliptic Curves: Modular Aspectsp. 292
Galois Theory, Algebraic Number Theory, and Zeta Functionsp. 313
Galois Theory for Coverings and Riemann Surfacesp. 394
Differential Galois Theoryp. 413
p-adic Numbers and Ultrametricityp. 440
Introduction to Lattice Geometryp. 476
A Short Introduction to Quasicrystallographyp. 496
Gap Labelling Theorems for Schrodinger Operatorsp. 538
Circle Maps: Irrationally Windingp. 631
An Introduction to Small Divisors Problemsp. 659
Indexp. 680
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540533429
ISBN-10: 3540533427
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 690
Published: 9th November 1995
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 3.8
Weight (kg): 2.56