Algebraic introduction to K-theory, Vol. 87
- Cambridge: Cambridge University Press, 2002.
- xiv, 676 p.; pb; 25 cm.
- Encyclopedia of mathematics and its applications. .
The presentation is self-contained, with all the necessary background and proofs, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. The prerequisites are minimal: just a first semester of algebra (including Galois theory and modules over a principal ideal domain). No experience with homological algebra, analysis, geometry, number theory, or topology is assumed. The author has successfully used this text to teach algebra to first-year graduate students. Selected topics can be used to construct a variety of one-semester courses; coverage of the entire text requires a full year.