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Introduction to Algebraic Independence Theory

Name: Introduction to Algebraic Independence Theory
Brand: Springer, Berlin
SKU: 01563225
Price: 61.54 EUR
Availability: InStock
Author: Yuri V. Nesterenko
ISBN: 9783540414964

Language

English

Book Paperback

Libristo code: 01563225

Publishers Springer, Berlin, November 2000

In the last five years there has been very significant progress in the development of transcendence... Full description

Libristo code: 01563225

150 b

61.54 €

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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.