Read e-book online A User's Guide to Spectral Sequences (Cambridge Studies in PDF

By John McCleary

ISBN-10: 0521561418

ISBN-13: 9780521561419

ISBN-10: 0521567599

ISBN-13: 9780521567596

Spectral sequences are one of the so much dependent, strongest, and most complex tools of computation in arithmetic. This publication describes one of the most vital examples of spectral sequences and a few in their so much fabulous purposes. the 1st 3rd of the publication treats the algebraic foundations for this kind of homological algebra, ranging from casual calculations, to provide the amateur a familiarity with the variety of functions attainable. the center of the booklet is an exposition of the classical examples from homotopy concept, with chapters at the Leray-Serre spectral series, the Eilenberg-Moore spectral series, the Adams spectral series, and, during this new version, the Bockstein spectral series. The final a part of the e-book treats functions all through arithmetic, together with the speculation of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this is often an outstanding reference for college students and researchers in geometry, topology, and algebra.

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A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics) by John McCleary

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