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Introduction to Algebraic Independence Theory

by Yuri V. Nesterenko
Save 35% Save 35%
Current price ₹4,360.00
Original price ₹6,707.00
Original price ₹6,707.00
Original price ₹6,707.00
(-35%)
₹4,360.00
Current price ₹4,360.00

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Book cover type: Paperback
  • ISBN13: 9783540414964
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 260
  • Original Price: EUR 59.99
  • Language: English
  • Edition: 2001
  • Item Weight: 421 grams
  • BISAC Subject(s): Number Theory, Geometry / Algebraic, and General

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.

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