An Introduction to Homological Algebra 2024 pdf epub mobi 電子書下載

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An Introduction to Homological Algebra pdf epub mobi 著者簡介

Charles A.Weibel羅格斯大學教授，數學係研究生項目副主任，《Journal of Pure and Applied Algebra》雜誌主編。他的研究領域包括代數K理論、代數幾何和同調代數等。

An Introduction to Homological Algebra pdf epub mobi 圖書描述

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 2024 pdf epub mobi 電子書下載

An Introduction to Homological Algebra pdf epub mobi 圖書目錄

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發表於2024-12-22

An Introduction to Homological Algebra 2024 pdf epub mobi 電子書下載

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An Introduction to Homological Algebra pdf epub mobi 讀後感

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範疇（category）理論是現代數學中的一個基本概念，下麵我們就來對它做一個相對比較深入的討論，主要介紹Abel範疇、三角範疇與導齣範疇的基本概念。所謂範疇C，主要是由下列數據組成：（1）對象Ob（C）（2）對象之間的態射Hom（X，Y），X，Y∈Ob（C） ...

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出版者:Cambridge University Press

作者:Charles A. Weibel

出品人:

頁數:468

譯者:

出版時間:1995-10-27

價格:USD 53.00

裝幀:Paperback

isbn號碼:9780521559874

叢書系列:Cambridge Studies in Advanced Mathematics

圖書標籤: 同調代數數學 Mathematics 代數 Homological_algebra Algebra 想買學術讀物

An Introduction to Homological Algebra 2024 pdf epub mobi 電子書下載

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An Introduction to Homological Algebra pdf epub mobi 用戶評價

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處理方法較兩本GTM中的同調代數摩登。

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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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代數拓撲的抽象化就是同調代數：阿貝範疇的導齣範疇是拓撲空間的同倫範疇的代數語言。鏈復形經過同倫等價商到做分式局部化得到阿貝範疇的導齣範疇。正閤三角作為短正閤序列替代物

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An Introduction to Homological Algebra 2024 pdf epub mobi 電子書下載