POD-同調代數方法(第二版) (德)蓋爾範德(Gelfand S.I.) 科學齣版社 下載 mobi epub pdf 電子書 2024

基本信息

書名:POD-同調代數方法(第二版)

定價：168.00元

售價：100.8元,便宜67.2元,摺扣60

作者:(德)蓋爾範德(Gelfand S.I.)

齣版社：科學齣版社

齣版日期：2009-01-01

ISBN：9787030234810

字數：

頁碼：

版次：1

裝幀：精裝

開本：16開

商品重量：0.740kg

編輯推薦

POD産品說明：1. 本産品為按需印刷（POD）圖書，實行先付款，後印刷的流程。您在頁麵購買且完成支付後，訂單轉交齣版社。齣版社根據您的訂單采用數字印刷的方式，單獨為您印製該圖書，屬於定製産品。2. 按需印刷的圖書裝幀均為平裝書（含原為精裝的圖書）。由於印刷工藝、彩墨的批次不同，顔色會與老版本略有差異，但通常會比老版本的顔色更準確。原書內容含彩圖的，統一變成黑白圖，原書含光盤的，統一無法提供光盤。3. 按需印刷的圖書製作成本高於傳統的單本成本，因此售價高於原書定價。4. 按需印刷的圖書，齣版社生産周期一般為15個工作日（特殊情況除外）。請您耐心等待。5. 按需印刷的圖書，屬於定製産品，不可取消訂單，無質量問題不支持退貨。

內容提要

Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics， and its contemporary applications are many and diverse. This moderapproach to homological algebra， by two leading writers ithe field， is based othe systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology， spectral sequences， etc.) are described. Imost cases plete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to leara moderapproach to homological algebra and to use it itheir work. For the second editiothe authors have made numerous corrections.

目錄

Ⅰ．Simplicial Sets
Ⅰ．1 Triangulated Spaces
Ⅰ．2 Simplicial Sets
Ⅰ．3 Simplicial Topological Spaces and the Eilenberg-Zilber Theorem
Ⅰ．4 Homology and Cohmology
Ⅰ．5 Sheaves
Ⅰ．6 The Exact Sequence
Ⅰ．7 Complexes

Ⅱ．MaiNotions of the Category Theory
Ⅱ．1 The Language of Categories and Functors
Ⅱ．2 Categories and Structures， Equivalence of Categories
Ⅱ．3 Structures and Categories．Representable Functors
Ⅱ．4 Category Approach to the Constructioof Geometrical Objects
Ⅱ．5 Additive and AbeliaCategories
Ⅱ．6 Functors iAbeliaCategories

Ⅲ．Derived Categories and Derived Functors
Ⅲ．1 Complexes as Generalized Objects
Ⅲ．2 Derived Categories and Localization
Ⅲ．3 Triangles as Generalized Exact Triples
Ⅲ．4 Derived Category as the Localizatioof Homotopic Category
Ⅲ．5 The Structure of the Derived Category
Ⅲ．6 Derived Functors
Ⅲ．7 Derived Functor of the Composition．Spectral Sequence
Ⅲ．8 Sheaf Cohomology

Ⅳ．Triangulated Categories
Ⅳ．1 Triangulated Categories
Ⅳ．2 Derived Categories Are Triangulated
Ⅳ．3 AExample： The Triangulated Category of A-Modules
Ⅳ．4 Cores

Ⅴ．Introductioto Homotopic Algebra
Ⅴ．1 Closed Model Categories
Ⅴ．2 Homotopic Characterizatioof Weak Equivalences．
Ⅴ．3 DG-Algebras as a Closed Model Category
Ⅴ．4 Minimal Algebras
Ⅴ．5 Equivalence of Homotopy Categories

References
Index

作者介紹

文摘

序言