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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories

Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories

Panchishkin, Alexei A.
Manin, Yu I.

Hardcover

Series: Encyclopaedia of Mathematical Sciences, Book 49

General ComputersGeneral MathematicsGeometry

ISBN10: 3540203648
ISBN13: 9783540203643
Publisher: Springer
Published: May 23 2005
Pages: 514
Weight: 1.96
Height: 1.37 Width: 6.42 Depth: 9.42
Language: English

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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