Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. An Algebraic Introduction to K-Theory
  • Cited by 20
Publisher:
Cambridge University Press
Online publication date:
May 2013
Print publication year:
2002
Online ISBN:
9781107326002
DOI:
https://doi.org/10.1017/CBO9781107326002
Subjects:
Mathematics (general), Mathematics, Geometry and Topology, Algebra
Series:
Encyclopedia of Mathematics and its Applications (87)
Information

Book description

This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal ideal domain). The presentation is almost entirely self-contained, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. No experience with analysis, geometry, number theory or topology is assumed. Within the context of linear algebra, K-theory organises and clarifies the relations among ideal class groups, group representations, quadratic forms, dimensions of a ring, determinants, quadratic reciprocity and Brauer groups of fields. By including introductions to standard algebra topics (tensor products, localisation, Jacobson radical, chain conditions, Dedekind domains, semi-simple rings, exterior algebras), the author makes algebraic K-theory accessible to first-year graduate students and other mathematically sophisticated readers. Even if your algebra is rusty, you can read this book; the necessary background is here, with proofs.

Reviews

Review of the hardback:‘… this is a well written introduction to the theory of the algebraic K-groups Ko, K1 and K2; the author has done a wonderful job in presenting the material in a clear way that will be accessible to readers with a modest background in algebra.’

Franz Lemmermeyer Source: Zentralblatt MATH

Review of the hardback:‘This is a fine introduction to algebraic K-theory, requiring only a basic preliminary knowledge of groups, rings and modules.’

Source: European Mathematical Society

Review of the hardback:'… a fine introduction to algebraic K-theory …'

Source: EMS Newsletter

Review of the hardback:'… an excellent introduction to the algebraic K-theory.'

Source: Proceedings of the Edinburgh Mathematical Society

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.