By John McCleary
Spectral sequences are one of the so much stylish and strong tools of computation in arithmetic. This e-book describes the most very important examples of spectral sequences and a few in their so much striking functions. the 1st half treats the algebraic foundations for this type of homological algebra, ranging from casual calculations. the guts of the textual content is an exposition of the classical examples from homotopy conception, 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 booklet 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.