Algebraic Number Theory

Algebraic Number Theory

Author: H. Koch

Publisher: Springer Science & Business Media

ISBN: 3540630031

Category: Mathematics

Page: 280

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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
Algebraic Number Theory
Language: en
Pages: 280
Authors: H. Koch, Helmut Koch
Categories: Mathematics
Type: BOOK - Published: 1997-09-12 - Publisher: Springer Science & Business Media

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
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Language: en
Pages: 408
Authors: M.R. Schroeder
Categories: Mathematics
Type: BOOK - Published: 2005-11-03 - Publisher: Springer Science & Business Media

Number Theory in Science and Communication introductes non-mathematicians to the fascinating and diverse applications of number theory. This best-selling book stresses intuitive understanding rather than abstract theory. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with
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Language: en
Pages: 306
Authors: Yu. I. Manin, Alexei A. Panchishkin
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book
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Language: en
Pages: 360
Authors: W.A. Coppel
Categories: Mathematics
Type: BOOK - Published: 2006-06-15 - Publisher: Springer Science & Business Media

This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today.
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Language: en
Pages: 432
Authors: Song Y. Yan
Categories: Computers
Type: BOOK - Published: 2012-11-28 - Publisher: John Wiley & Sons

The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security. In this book, Song Y. Yang combines knowledge of these two critical fields, providing