By John McCleary

Spectral sequences are one of the such a lot based, strongest, and most intricate tools of computation in arithmetic. This ebook describes probably the most vital examples of spectral sequences and a few in their so much unbelievable functions. the 1st 3rd of the ebook 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 guts of the e-book 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 ebook treats functions all through arithmetic, together with the speculation of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this can be a great reference for college kids 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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