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OverviewAlgebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory. Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. It includes all principal algebraic K-theories, connections with topological K-theory and cyclic homology, applications to the theory of monoid and polynomial algebras and in the theory of normed algebras. This volume will be of interest to graduate students and research mathematicians who want to learn more about K-theory. Full Product DetailsAuthor: Hvedri InassaridzePublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1995 Volume: 311 Dimensions: Width: 15.50cm , Height: 2.30cm , Length: 23.50cm Weight: 0.688kg ISBN: 9789048144792ISBN 10: 9048144795 Pages: 440 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsI. Classical Algebraic K-functors.- II. Higher K-functors.- III. Properties of algebraic K-functors.- IV. Relations between algebraic K-theories.- V. Relation between algebraic and topological K-theories.- VI. The problem of Serre for polynomial and monoid algebras.- VII. Connection with cyclic homology.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |