An Algebraic Introduction to K-Theory pdf epub mobi txt 電子書下載 2024

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Bruce A. Magurn

Cambridge University Press

2002-5-20

692

GBP 110.00

Hardcover

9780521800785

圖書標籤: 數學 K-Theory

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发表于2024-11-23

An Algebraic Introduction to K-Theory epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

An Algebraic Introduction to K-Theory pdf epub mobi txt 電子書下載 2024

圖書描述

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.

An Algebraic Introduction to K-Theory 下載 mobi epub pdf txt 電子書