# A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics)

## John McCleary

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Spectral sequences are among the most elegant and powerful 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 part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text 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 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. It introduces the algebraic foundations in an accessible manner, starting from informal calculations, to give the novice a familiarity with the range of applications possible with spectral sequences. This second edition contains a new chapter on the Bockstein spectral sequence and an updated treatment of other topological sequences.This is an excellent reference for students and researchers in geometry, topology, and algebra.

About the Author:

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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## 1.A User s Guide to Spectral Sequences (Paperback)

Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2000)
ISBN 10: 0521567599 ISBN 13: 9780521567596
Nuevos Paperback Cantidad: 1
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2000. Paperback. Estado de conservación: New. 2nd Revised edition. Language: English . Brand New Book. 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. Nº de ref. de la librería AAU9780521567596

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## 2.A User's Guide to Spectral Sequences

Editorial: Cambridge University Press 2000-11-27, Cambridge (2000)
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press 2000-11-27, Cambridge, 2000. paperback. Estado de conservación: New. Nº de ref. de la librería 9780521567596

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## 3.A User s Guide to Spectral Sequences (Paperback)

Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2010)
ISBN 10: 0521567599 ISBN 13: 9780521567596
Nuevos Paperback Cantidad: 1
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2010. Paperback. Estado de conservación: New. 2nd Revised edition. Language: English . Brand New Book. 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. Nº de ref. de la librería AAU9780521567596

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## 4.User's Guide to Spectral Sequences

Editorial: Cambridge University Press (2000)
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press, 2000. Estado de conservación: New. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 578 pages, 48 b/w illus. BIC Classification: PBF; PBK. Category: (P) Professional & Vocational. Dimension: 230 x 153 x 36. Weight in Grams: 864. . 2000. 2nd Edition. Paperback. . . . . . Nº de ref. de la librería V9780521567596

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## 5.A User's Guide to Spectral Sequences

Editorial: Cambridge University Press (2000)
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press, 2000. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780521567596

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## 6.User's Guide to Spectral Sequences

Editorial: Cambridge University Press
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press. Estado de conservación: New. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 578 pages, 48 b/w illus. BIC Classification: PBF; PBK. Category: (P) Professional & Vocational. Dimension: 230 x 153 x 36. Weight in Grams: 864. . 2000. 2nd Edition. Paperback. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780521567596

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## 7.A User's Guide to Spectral Sequences

Editorial: Cambridge University Press (2000)
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press, 2000. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería BB-9780521567596

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## 8.A User's Guide to Spectral Sequences (2nd Revised edition)

Editorial: Cambridge University Press
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press. Paperback. Estado de conservación: new. BRAND NEW PRINT ON DEMAND., A User's Guide to Spectral Sequences (2nd Revised edition), John McCleary, 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. Nº de ref. de la librería B9780521567596

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## 9.A User's Guide to Spectral Sequences

Editorial: Cambridge University Press (2000)
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press, 2000. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780521567596

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## 10.A User's Guide to Spectral Sequences: Second Edition (Cambridge Studies in Advanced Mathematics)

Editorial: Cambridge University Press (1997)
ISBN 10: 0521567599 ISBN 13: 9780521567596
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Descripción Cambridge University Press, 1997. Estado de conservación: New. book. Nº de ref. de la librería ria9780521567596_rkm

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