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From Number Theory to Physics

Editors: Waldschmidt, M., Moussa, P., Luck, J.-M., Itzykson, C. (Eds.)

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eBook 86,86 €
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  • ISBN 978-3-662-02838-4
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Hardcover 145,59 €
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  • ISBN 978-3-540-53342-9
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  • Usually dispatched within 3 to 5 business days.
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Softcover 106,90 €
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  • ISBN 978-3-642-08097-5
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About this book

The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti­ cal Physics. The first part is mathematically oriented; it deals mostly with ellip­ tic curves, modular forms, zeta functions, Galois theory, Riemann surfaces, and p-adic analysis. The second part reports on matters with more direct physical interest, such as periodic and quasiperiodic lattices, or classical and quantum dynamical systems. The contribution of each author represents a short self-contained course on a specific subject. With very few prerequisites, the reader is offered a didactic exposition, which follows the author's original viewpoints, and often incorpo­ rates the most recent developments. As we shall explain below, there are strong relationships between the different chapters, even though every single contri­ bution can be read independently of the others. This volume originates in a meeting entitled Number Theory and Physics, which took place at the Centre de Physique, Les Houches (Haute-Savoie, France), on March 7 - 16, 1989. The aim of this interdisciplinary meeting was to gather physicists and mathematicians, and to give to members of both com­ munities the opportunity of exchanging ideas, and to benefit from each other's specific knowledge, in the area of Number Theory, and of its applications to the physical sciences. Physicists have been given, mostly through the program of lectures, an exposition of some of the basic methods and results of Num­ ber Theory which are the most actively used in their branch.

Table of contents (14 chapters)

  • An Introduction to Zeta Functions

    Cartier, Pierre

    Pages 1-63

    Preview Buy Chapter 30,19 €
  • Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varieties

    Bost, Jean-Benoît

    Pages 64-211

    Preview Buy Chapter 30,19 €
  • Elliptic Curves

    Cohen, Henri

    Pages 212-237

    Preview Buy Chapter 30,19 €
  • Introduction to Modular Forms

    Zagier, Don

    Pages 238-291

    Preview Buy Chapter 30,19 €
  • Decorated Elliptic Curves: Modular Aspects

    Gergondey, Robert

    Pages 292-312

    Preview Buy Chapter 30,19 €

Buy this book

eBook 86,86 €
price for Spain (gross)
  • ISBN 978-3-662-02838-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-540-53342-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 106,90 €
price for Spain (gross)
  • ISBN 978-3-642-08097-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
From Number Theory to Physics
Editors
  • Michel Waldschmidt
  • Pierre Moussa
  • Jean-Marc Luck
  • Claude Itzykson
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-02838-4
DOI
10.1007/978-3-662-02838-4
Hardcover ISBN
978-3-540-53342-9
Softcover ISBN
978-3-642-08097-5
Edition Number
1
Number of Pages
XIII, 690
Topics