A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics)
Editorial Reviews
Review
From reviews of the first edition: 'McCleary has undertaken and completed a daunting task; few algebraic topologists would have the courage to even try to write a book such as this. The mathematical community is indebted to him for this achievement!' Bulletin of the AMS
'... this guide is a treasure trove ...'. Niew Archief voor Wiskunde
Book Description
Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics)
A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics),John McCleary,B. Bollobas,W. Fulton,A. Katok,F. Kirwan,P. Sarnak,B. Simon,B. Totaro,Cambridge University Press,0521567599,Geometry - General,Mathematical Analysis,Mathematics,Science/Mathematics,Spectral sequences (Mathematic,Spectral sequences (Mathematics),Algebra,Calculus & mathematical analysis,Mathematics / Applied
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