Introduction to Algebraic Independence Theory (Paperback) (ISBN-13: 9783540414964)

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.

Author: Yuri V. Nesterenko
ISBN-10: 3540414967
ISBN-13: 9783540414964
Publisher: Springer
Language: English
Published: 01/18/2001
Pages: 260
Format: Paperback
Weight: 0.86lbs
Size: 9.21h x 6.14w x 0.58d