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.
The aim of this book is to present the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. Included are 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 prove of interest to graduate students and research mathematicians who want to learn more about K-theory.
Algebraic K -theory is a modern branch of algebra which has numerous applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis, and algebraic number theory. This volume presents the elements of algebraic K -theory, based essentially on the fundamental work of Minor, Swan, Bass, Quillen, Karoubi, Gersten, Loday, and Waldhausen. It includes all principal algebraic K -theories, connections with topological K -theory and cyclic homology, and applications to the theory of monoid and polynomial algebras and in the theory of normed algebras. For graduate students and research mathematicians. Annotation c. by Book News, Inc., Portland, Or.
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.
