Algebraic 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.