**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

**18 Lectures on K-Theory**

by

**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.

(

**5860**views)

**An Introduction to K-theory and Cyclic Cohomology**

by

**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.

(

**6698**views)

**Algebraic K-Theory**

by

**Hyman Bass**-

**W. A. Benjamin**

The algebraic K-theory presented here is concerned with the structure theory of projective modules, and of their automorphism groups. Thus, it is a generalization off the theorem asserting the existence and uniqueness of bases for vector spaces ...

(

**4102**views)

**Lectures on Topics in Algebraic K-Theory**

by

**Hyman Bass**-

**Tata Institute of Fundamental Research**

Topics: The exact sequence of algebraic K-theory; Categories of modules and their equivalences; The Brauer group of a commutative ring; The Brauer-Wall group of graded Azumaya algebras; The structure of the Clifford Functor.

(

**5983**views)