2020ok  Directory of FREE Online Books and FREE eBooks

Free eBooks > Science > General > An introduction to algebraic K-theory

An introduction to algebraic K-theory

by Charles Weibel

Download Book
(Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those sites owned by authors and publishers. If you have any questions about these links, please contact us.)

link 1

About Book

"This volume is a very useful graduate algebra text with an orientation towards algebraic K-theory....This volume will form an excellent basis for several types of one-and two-semester graduate algebra courses." Mathematical Reviews

Book Description
This book is both an introduction to K-theory and a text in algebra. These two roles are entirely compatible. On the one hand, nothing more than the basic algebra of groups, rings, and modules is needed to explain the clasical algebraic K-theory. On the other hand, K-theory is a natural organizing principle for the standard topics of a second course in algebra, and these topics are presented carefully here. The reader will not only learn algebraic K-theory, but also Dedekind domains, class groups, semisimple rings, character theory, quadratic forms, tensor products, localization, completion, tensor algebras, symmetric algebras, exterior algebras, central simple algebras, and Brauer groups. 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 successfuly 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.

Book Info
An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra. The necessary background is here, with proofs.



PLEASE READ: All comments must be approved before appearing in the thread; time and space constraints prevent all comments from appearing. We will only approve comments that are directly related to the article, use appropriate language and are not attacking the comments of others.

Message (please, no HTML tags. Web addresses will be hyperlinked):

Related Free eBooks

Related Tags

DIGG This story   Save To Google   Save To Windows Live   Save To Del.icio.us   diigo it   Save To blinklist
Save To Furl   Save To Yahoo! My Web 2.0   Save To Blogmarks   Save To Shadows   Save To stumbleupon   Save To Reddit