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A User's Guide to Spectral Sequences (Hardcover, 2nd Revised edition)
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A User's Guide to Spectral Sequences (Hardcover, 2nd Revised edition)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 12 - 17 working days
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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.
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