Algebraic Number Theory
Contributors: A.N. Parshin (Editor); I.R. Shafarevich (Editor)
Edition: 1st ed. 1992. 2nd printing edition
Publisher: Springer
Published: October 16, 1997
Language: eng
Format: Paperback
Number of pages: 280
ISBN-13: 9783540630036
Subjects: Algebraic Number Theory; Mathematics; Science/Mathematics; Number Theory; Mathematics / Number Theory
First sentence: The first goal of algebraic number theory is the generalization of the theorem on the unique representation of natural numbers as products of prime numbers to algebraic numbers.
Description: From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993