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 equipment of computation in arithmetic. This publication describes one of the most very important examples of spectral sequences and a few in their such a lot fantastic purposes. the 1st 3rd of the publication treats the algebraic foundations for this type of homological algebra, ranging from casual calculations, to offer the amateur a familiarity with the variety of purposes attainable. the center of the booklet is an exposition of the classical examples from homotopy idea, 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 ebook treats functions all through arithmetic, together with the speculation of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this is often an exceptional 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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