By John McCleary

Spectral sequences are one of the such a lot based, strongest, and most intricate tools of computation in arithmetic. This e-book describes probably the most vital examples of spectral sequences and a few in their such a lot fabulous functions. the 1st 3rd of the e-book treats the algebraic foundations for this type of homological algebra, ranging from casual calculations, to offer the beginner a familiarity with the diversity of functions attainable. the center of the e-book 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 can be a good reference for college students and researchers in geometry, topology, and algebra.

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Spectral sequences are one of the so much 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 staggering functions. the 1st 3rd of the ebook treats the algebraic foundations for this kind of homological algebra, ranging from casual calculations, to offer the amateur a familiarity with the variety of functions attainable.

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


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