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upload/bibliotik/M/M. Scott Osborne - Basic Homological Algebra (2000) [978-1-4612-1278-2].pdf
Basic Homological Algebra (Graduate Texts in Mathematics Book 196) 🔍
M. Scott Osborne (auth.) Springer Science & Business Media, Softcover reprint of the original 1st ed. 2000, 2012
英语 [en] · PDF · 26.4MB · 2000 · 📘 非小说类图书 · 🚀/lgli/scihub/upload/zlib · Save
描述
From the reviews: "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; [...] one is quickly able to find necessary details." EMS Newsletter
备用文件名
scihub/10.1007/978-1-4612-1278-2.pdf
备用文件名
zlib/no-category/M. Scott Osborne/Basic Homological Algebra_19323555.pdf
备选作者
Osborne, M. Scott
备用出版商
Springer New York : Imprint : Springer
备用出版商
Springer London, Limited
备用版本
Springer Nature (Textbooks & Major Reference Works), New York, NY, 2012
备用版本
Graduate Texts in Mathematics, New York, NY, 2000
备用版本
United States, United States of America
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sm37734731
元数据中的注释
producers:
Adobe Acrobat 8.3 Paper Capture Plug-in
备用描述
Five years ago, I taught a one-quarter course in homological algebra. I discovered that there was no book which was really suitable as a text for such a short course, so I decided to write one. The point was to cover both Ext and Tor early, and still have enough material for a larger course (one semester or two quarters) going off in any of several possible directions. This book is 'also intended to be readable enough for independent study. The core of the subject is covered in Chapters 1 through 3 and the first two sections ofChapter 4. At that point there are several options. Chapters 4 and 5 cover the more traditional aspects of dimension and ring changes. Chapters 6 and 7 cover derived functors in general. Chapter 8 focuses on a special property of Tor. These three groupings are independent, as are various sections from Chapter 9, which is intended as a source of special topics. (The prerequisites for each section of Chapter 9 are stated at the beginning.) Some things have been included simply because they are hard to find else­ where, and they naturally fit into the discussion. Lazard's theorem (Section 8.4)-is an example; Sections4,5, and 7ofChapter 9 containother examples, as do the appendices at the end.
备用描述
This book is intended for one-quarter or one semester-courses in homological algebra. The aim is to cover Ext and Tor early and without distraction. It includes several further topics, which can be pursued independently of each other. Many of these, such as Lazard's theorem, long exact sequences in Abelian categories with no cheating, or the relation between Krull dimension and global dimension, are hard to find elsewhere. The intended audience is second or third year graduate students in algebra, algebraic topology, or any other field that uses homological algebra.
开源日期
2015-03-12
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