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OverviewAnalytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form. Full Product DetailsAuthor: Nigel Higson (Professor of Mathematics, Professor of Mathematics, Pennsylvania State University) , John Roe (Professor of Mathematics, Professor of Mathematics, Pennsylvania State University)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 16.10cm , Height: 2.80cm , Length: 24.70cm Weight: 0.720kg ISBN: 9780198511762ISBN 10: 0198511760 Pages: 424 Publication Date: 07 December 2000 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviewsthis is a very nice book that will interest specialists from several branches of mathematics and be attractive for postgraduate students. EMS Author InformationTab Content 6Author Website:Countries AvailableAll regions |