From Number Theory to Physics

Häftad, Engelska, 2010

Av Michel Waldschmidt, Pierre Moussa, Jean-Marc Luck, Claude Itzykson

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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.

Produktinformation

Utgivningsdatum2010-12-01
Mått155 x 235 x 38 mm
Vikt1 054 g
FormatHäftad
SpråkEngelska
Antal sidor690
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642080975

Tillhör följande kategorier

1. An Introduction to Zeta Functions.- 2. Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varieties.- 3. Elliptic Curves.- 4. Introduction to Modular Forms.- 5. Decorated Elliptic Curves: Modular Aspects.- 6. Galois Theory, Algebraic Number Theory, and Zeta Functions.- 7. Galois Theory for Coverings and Riemann Surfaces.- 8. Differential Galois Theory.- 9. p-adic Numbers and Ultrametricity.- 10. Introduction to Lattice Geometry.- 11. A Short Introduction to Quasicrystallography.- 12. Gap Labelling Theorems for Schrödinger Operators.- 13. Circle Maps: Irrationally Winding.- 14. An Introduction to Small Divisors Problems.