A User's Guide to Spectral Sequences: Second Edition: 58 (Cambridge Studies in Advanced Mathematics, Series Number 58) - Tapa blanda

Libro 18 de 151: Cambridge Studies in Advanced Mathematics

McCleary, John

 
9780521567596: A User's Guide to Spectral Sequences: Second Edition: 58 (Cambridge Studies in Advanced Mathematics, Series Number 58)

Sinopsis

Spectral sequences are among the most elegant, most powerful, and most complicated 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 third of the book treats the algebraic foundations for this sort of homological algebra, starting from informal calculations, to give the novice a familiarity with the range of applications possible. The heart of the book 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.

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Acerca del autor

John McCleary is Professor of Mathematics at Vassar College on the Elizabeth Stillman Williams Chair. His research interests lie at the boundary between geometry and topology, especially where algebraic topology plays a role. His papers on topology have appeared in Inventiones Mathematicae, the American Journal of Mathematics and other journals, and he has written expository papers that have appeared in American Mathematical Monthly. He is also interested in the history of mathematics, especially the history of geometry in the nineteenth century and of topology in the twentieth century. He is the author of Geometry from a Differentiable Viewpoint and A First Course in Topology: Continuity and Dimension and he has edited proceedings in topology and in history, as well as a volume of the collected works of John Milnor. He has been a visitor to the mathematics institutes in Goettingen, Strasbourg and Cambridge, and to MSRI in Berkeley.

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Otras ediciones populares con el mismo título

9780521561419: A User's Guide to Spectral Sequences 2nd Edition Hardback: 58 (Cambridge Studies in Advanced Mathematics, Series Number 58)

Edición Destacada

ISBN 10:  0521561418 ISBN 13:  9780521561419
Editorial: Cambridge University Press, 2001
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