March 21, 2018

New PDF release: A User's Guide to Spectral Sequences (Cambridge Studies in

By John McCleary

ISBN-10: 0521561418

ISBN-13: 9780521561419

ISBN-10: 0521567599

ISBN-13: 9780521567596

Spectral sequences are one of the such a lot stylish, strongest, and most complex equipment of computation in arithmetic. This publication describes probably the most vital examples of spectral sequences and a few in their such a lot surprising functions. the 1st 3rd of the ebook treats the algebraic foundations for this kind of homological algebra, ranging from casual calculations, to offer the beginner a familiarity with the variety of purposes attainable. the guts 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 re-creation, 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 superb 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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