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A user's guide to spectral sequences

McCleary, John, (1952-)

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A user's guide to spectral sequences

Record Type:	Electronic resources : Monograph/item
Title/Author:	A user's guide to spectral sequences/ John McCleary.
Author:	McCleary, John,
Published:	Cambridge :Cambridge University Press, : 2001.,
Description:	xv, 561 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Spectral sequences (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9780511626289
ISBN:	9780511626289

A user's guide to spectral sequences
McCleary, John,1952-

A user's guide to spectral sequences[electronic resource] /John McCleary. - Second edition. - Cambridge :Cambridge University Press,2001. - xv, 561 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;58. - Cambridge studies in advanced mathematics ;58..

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

Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first third of the book treats the algebraic foundations for this sort of homological algebra, starting from informal calculations, to give the novice a familiarity with the range of applications possible. The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.

ISBN: 9780511626289Subjects--Topical Terms:

701647
Spectral sequences (Mathematics)

LC Class. No.: QA612.8 / .M33 2001

Dewey Class. No.: 514.2

A user's guide to spectral sequences
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100 1 $a McCleary, John, $d 1952- $3 702143
245 1 2 $a A user's guide to spectral sequences $h [electronic resource] / $c John McCleary.
250 $a Second edition.
260 $a Cambridge : $b Cambridge University Press, $c 2001.
300 $a xv, 561 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 58
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first third of the book treats the algebraic foundations for this sort of homological algebra, starting from informal calculations, to give the novice a familiarity with the range of applications possible. The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
650 0 $a Spectral sequences (Mathematics) $3 701647
830 0 $a Cambridge studies in advanced mathematics ; $v 58. $3 3470557
856 4 0 $u https://doi.org/10.1017/CBO9780511626289