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Introduction to Modern Number Theory: Fundamental Problems Ideas and Theories

by Manin
Save 35% Save 35%
Current price ₹11,989.00
Original price ₹18,444.00
Original price ₹18,444.00
Original price ₹18,444.00
(-35%)
₹11,989.00
Current price ₹11,989.00

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Book cover type: Paperback
  • ISBN13: 9783642057977
  • Binding: Paperback
  • Subject: Mathematics and Statistics
  • Publisher: Springer Verlag
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 514
  • Original Price: EUR 169.99
  • Language: English
  • Edition: N/A
  • Item Weight: 735 grams
  • BISAC Subject(s): Number Theory, Security / General, and Geometry / Algebraic

This edition has been called 'startlingly up-to-date', and in this corrected second printing you can be sure that it's even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a segment dedicated to arithmetical cohomology and noncommutative geometry as well as a report on point counts on varieties with many rational points. Also covered is the recent polynomial time algorithm for primality testing, among other subjects.

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