Advanced Topics in Computational Number Theory (Hardcover, 2000 ed.)

The present book addresses a number of specific topics in computational number theory whereby the author is not attempting to be exhaustive in the choice of subjects. The book is organized as follows. Chapters 1 and 2 contain the theory and algorithms concerning Dedekind domains and relative extensions of number fields, and in particular the generalization to the relative case of the round 2 and related algorithms. Chapters 3, 4, and 5 contain the theory and complete algorithms concerning class field theory over number fields. The highlights are the algorithms for computing the structure of (Z_K/m)^*, of ray class groups, and relative equations for Abelian extensions of number fields using Kummer theory. Chapters 1 to 5 form a homogeneous subject matter which can be used for a 6 months to 1 year graduate course in computational number theory. The subsequent chapters deal with more miscellaneous subjects. Written by an authority with great practical and teaching experience in the field, this book together with the author's earlier book will become the standard and indispensable reference on the subject.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 193
Release date:	November 1999
First published:	2000
Authors:	Henri Cohen
Dimensions:	235 x 155 x 33mm (L x W x T)
Format:	Hardcover
Pages:	581
Edition:	2000 ed.
ISBN-13:	978-0-387-98727-9
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	0-387-98727-4
Barcode:	9780387987279

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