An Algebraic Introduction to K-Theory: 87 (Encyclopedia of Mathematics and its Applications, Series Number 87) - Image 1

£64.05

Cambridge University Press An Algebraic Introduction to K-Theory: 87 (Encyclopedia of Mathematics and its Applications, Series Number 87)

Name: An Algebraic Introduction to K-Theory: 87 (Encyclopedia of Mathematics and its Applications, Series Number 87)
Brand: Cambridge University Press
Price: 64.05 GBP
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Algebra

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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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521106583
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 04 February 2010
Listed Since: 30 September 2009

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Cambridge University Press An Algebraic Introduction to K-Theory: 87 (Encyclopedia of Mathematics and its Applications, Series Number 87)

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