An Introduction to Homological Algebra pdf epub mobi txt 电子书下载 2024

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Charles A. Weibel

Cambridge University Press

1995-10-27

468

USD 53.00

Paperback

Cambridge Studies in Advanced Mathematics

9780521559874

图书标签: 同调代数数学 Mathematics 代数 Homological_algebra Algebra 想买学术读物

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发表于2024-11-24

An Introduction to Homological Algebra epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

An Introduction to Homological Algebra pdf epub mobi txt 电子书下载 2024

图书描述

The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.

An Introduction to Homological Algebra 下载 mobi epub pdf txt 电子书

著者简介

Charles A.Weibel罗格斯大学教授，数学系研究生项目副主任，《Journal of Pure and Applied Algebra》杂志主编。他的研究领域包括代数K理论、代数几何和同调代数等。

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An Introduction to Homological Algebra pdf epub mobi txt 电子书下载

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用户评价

评分☆☆☆☆☆

Though taught by the author, the book is still not easy to understand, mostly because Chuck want to squeeze too many things in a single volume. The index is horrible espeical in the special sequence chapter. It is written in homology rather than cohomology, so not good for an algebraic geometer, where all the arrows are in the opposite direction.

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typos好多啊～对个人而言，代数的东西还是跟着代数几何一块儿学最好！但是最好先大概过一遍

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代数拓扑的抽象化就是同调代数：阿贝范畴的导出范畴是拓扑空间的同伦范畴的代数语言。链复形经过同伦等价商到做分式局部化得到阿贝范畴的导出范畴。正合三角作为短正合序列替代物

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