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An Algebraic Introduction to K-Theory (Hardcover) Loot Price: R4,577
Discovery Miles 45 770
An Algebraic Introduction to K-Theory (Hardcover): Bruce A. Magurn

An Algebraic Introduction to K-Theory (Hardcover)

Bruce A. Magurn

Series: Encyclopedia of Mathematics and its Applications

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Loot Price R4,577 Discovery Miles 45 770 | Repayment Terms: R429 pm x 12*

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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.

General

Imprint: Cambridge UniversityPress
Country of origin: United Kingdom
Series: Encyclopedia of Mathematics and its Applications
Release date: May 2002
First published: 2002
Authors: Bruce A. Magurn
Dimensions: 242 x 162 x 39mm (L x W x T)
Format: Hardcover
Pages: 692
ISBN-13: 978-0-521-80078-5
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Geometry > General
Promotions
LSN: 0-521-80078-1
Barcode: 9780521800785

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