Introduction to Modern Number Theory

Manin, Yu.; Panchishkin, Alexei A.

ISBN 10: 3642057977 / ISBN 13: 9783642057977

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2010

About this Item

A brilliant and coherent summation of 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. Series: Encyclopaedia of Mathematical Sciences. Num Pages: 530 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 27. Weight in Grams: 738. . 2010. 2nd ed. Softcover of orig. ed. 2005. Paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9783642057977

Bibliographic Details

• Title: Introduction to Modern Number Theory
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Publication Date: 2010
• Language: English
• ISBN 10: 3642057977
• ISBN 13: 9783642057977
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

Product Description

A brilliant and coherent summation of 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.