Introduction to Modern Number Theory
Autor: | Yu. I. Manin, Alexei A. Panchishkin |
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EAN: | 9783540276920 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 30.03.2006 |
Untertitel: | Fundamental Problems, Ideas and Theories |
Kategorie: | |
Schlagworte: | Arithmetic Arithmetic der algebraischen Zahlen Elementare Zahlentheorie Elementary number theory Langlands-Programm Langlands program algebraic varieties arithmetic of algebraic numbers commutative property diophantine equations diophantisc |
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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.