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Introduction to Algebraic Independence Theory
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Introduction to Algebraic Independence Theory

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Description

In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
Release date Australia
January 18th, 2001
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Contributors
  • Contributions by D. Bertrand
  • Contributions by F. Amoroso
  • Contributions by G. Diaz
  • Contributions by K. Nishioka
  • Contributions by M. Laurent
  • Contributions by P. Philippon
  • Contributions by W.D. Brownawell
  • Contributions by Yu.V. Nesterenko
  • Edited by Patrice Philippon
  • Edited by Yuri V. Nesterenko
Illustrations
XVI, 260 p.
Pages
260
Dimensions
156x234x14
ISBN-13
9783540414964
Product ID
2798733

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