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A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics)
Rok: 2000
ISBN: 9780521561419
OKCZID: 110110166
Citace (dle ČSN ISO 690):
MCCLEARY, John. A user's guide to spectral sequences. 2nd ed. Cambridge: Cambridge university press, 2000. xv, 561 s. Cambridge studies in advanced mathematics, 58.
Hodnocení:
5.0 / 5
(6 hlasů)
Anotace
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.