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User's Guide to Spectral Sequences

Name: User's Guide to Spectral Sequences
Brand: Cambridge University Press
SKU: 02035514
Price: 91.79 EUR
Availability: InStock
Author: John McCleary
ISBN: 9780521567596

John McCleary

Lingua

Inglese

Libro In brossura

Codice Libristo: 02035514

Casa editrice Cambridge University Press, novembre 2000

Spectral sequences are among the most elegant, most powerful, and most complicated methods of comput... Descrizione completa

Codice Libristo: 02035514

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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.