ENGLISH

Algebraic K-Theory and its Applications

By Jonathan Rosenberg

Book information

Publisher
Springer-Verlag
Year
1994
ISBN
9780387942483, 0387942483, 9783540942481, 3540942483
Language
english
Format
PDF
Filesize
23 MB (24541684 bytes)
Series
Graduate Texts in Mathematics 147
Edition
1 (first printing)
Pages
405\405
Topic
Mathematics Algebra
Time added
2021-06-22 18:44:39
K-Theory; Algebraic K-Theory

Description

Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.

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