The K-book: An introduction to algebraic K-theory
by Charles Weibel
Publisher: Rutgers 2010
Description:
Algebraic K-theory is an important part of homological algebra. From the table of contents: Projective Modules and Vector Bundles; The Grothendieck group K_0; K_1 and K_2 of a ring; Definitions of higher K-theory; The Fundamental Theorems of higher K-theory.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Algebraic K-Theoryby Olivier Isely - EPFL
Algebraic K-theory is a branch of algebra dealing with linear algebra over a general ring A instead of over a field. Algebraic K-theory plays an important role in many subjects, especially number theory, algebraic topology and algebraic geometry.
(7365 views)
An Introduction to K-theory and Cyclic Cohomologyby Jacek Brodzki - arXiv
An exposition of K-theory and cyclic cohomology. It begins with examples of various situations in which the K-functor of Grothendieck appears naturally, including the topological and algebraic K-theory, K-theory of C*-algebras, and K-homology.
(9941 views)
18 Lectures on K-Theoryby Ioannis P. Zois - arXiv
We present introductory lectures on K-Theory covering its basic three branches, namely topological, analytic and Higher Algebraic K-Theory. The skeleton of these notes was provided by the author's notes from a graduate summer school on K-Theory.
(9375 views)
An Introduction to K-theoryby Eric M. Friedlander
The author's objective was to provide participants of the Algebraic K-theory Summer School an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible with little or no prior knowledge of the subject.
(11455 views)