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Algebraic number theory

Frohlich, A. (1916-)

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Algebraic number theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic number theory/ A. Frohlich, M.J. Taylor.
Author:	Frohlich, A.
other author:	Taylor, Martin
Published:	Cambridge :Cambridge University Press, : 1991.,
Description:	xiv, 355 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Algebraic number theory. -
Online resource:	https://doi.org/10.1017/CBO9781139172165
ISBN:	9781139172165

Algebraic number theory
Frohlich, A.1916-

Algebraic number theory[electronic resource] /A. Frohlich, M.J. Taylor. - Cambridge :Cambridge University Press,1991. - xiv, 355 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;27. - Cambridge studies in advanced mathematics ;27..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists.

ISBN: 9781139172165Subjects--Topical Terms:

532574
Algebraic number theory.

LC Class. No.: QA247 / .F755 1991

Dewey Class. No.: 512.74

Algebraic number theory
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245 1 0 $a Algebraic number theory $h [electronic resource] / $c A. Frohlich, M.J. Taylor.
260 $a Cambridge : $b Cambridge University Press, $c 1991.
300 $a xiv, 355 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 27
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists.
650 0 $a Algebraic number theory. $3 532574
700 1 $a Taylor, Martin $q (Martin J.) $3 708320
830 0 $a Cambridge studies in advanced mathematics ; $v 27. $3 3470651
856 4 0 $u https://doi.org/10.1017/CBO9781139172165