Overview: Algebraic .K.-theory is a modern branch of algebra whichhas many important applications in fundamental areas of mathematicsconnected with algebra, topology, algebraic geometry, functionalanalysis 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, basedessentially on the fundamental works of Milnor, Swan, Bass, Quillen,Karoubi, Gersten, Loday and Waldhausen. It includes all principalalgebraic .K.-theories, connections with topological.K.-the
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