User's Guide to Spectral Sequences by John McCleary
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User's Guide to Spectral Sequences
By John McCleary

A User's Guide to Spectral Sequences

2nd Revised edition

By (author) See other recent books by John McCleary
Format: Paperback

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User's Guide to Spectral Sequences by John McCleary

Book Description

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.

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Book Details

ISBN: 9780521567596
ISBN-10: 0521567599
Format: Paperback
(228mm x 152mm x 33mm)
Pages: 578
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Nov-2000
Country of Publication: United Kingdom

Other Editions...


Books By Author John McCleary

Geometry from a Differentiable Viewpoint by John McCleary Geometry from a Differentiable Viewpoint, Paperback (October 2012)

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

Hippie Dictionary by John McCleary Hippie Dictionary, Paperback (November 2003)

Whether you lived through the sixties and seventies or just wish you had, this revised and expanded edition of the "Hippie Dictionary" entertains as much as it educates. And it wasn't just about sex, drugs and rock 'n' roll. These were the early years of pro-ecology and anti-capitalist beliefs.

User's Guide to Spectral Sequences by John McCleary User's Guide to Spectral Sequences, Hardback (December 2000)

This book describes some of the most important examples of spectral sequences and some of their most spectacular applications.

» View all books by John McCleary

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Author Biography - John McCleary

John McCleary is Professor of Mathematics at Vassar College on the Elizabeth Stillman Williams Chair. His research interests lie at the boundary between geometry and topology, especially where algebraic topology plays a role. His papers on topology have appeared in Inventiones Mathematicae, the American Journal of Mathematics and other journals, and he has written expository papers that have appeared in American Mathematical Monthly. He is also interested in the history of mathematics, especially the history of geometry in the nineteenth century and of topology in the twentieth century. He is the author of Geometry from a Differentiable Viewpoint and A First Course in Topology: Continuity and Dimension and he has edited proceedings in topology and in history, as well as a volume of the collected works of John Milnor. He has been a visitor to the mathematics institutes in Goettingen, Strasbourg and Cambridge, and to MSRI in Berkeley.

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