Graduate mathematics students will find this book an easy-to-follow, step-by-step guide to the subject. Rotman's book gives a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this new edition the book has been updated and revised throughout and new material on sheaves and cup products has been added. The author has also included material about homotopical algebra, alias K-theory. Learning homological algebra is a two-stage affair. First, one must learn the language of Ext and Tor. Second, one must be able to compute these things with spectral sequences. Here is a work that combines the two.
發表於2025-02-07
An Introduction to Homological Algebra 2025 pdf epub mobi 電子書 下載
圖書標籤: 同調代數 數學 HomologicalAlgebra Algebra 拓撲 小徑分岔的花園 其餘代數7 代數拓撲
寫的很詳細,入門的好書。
評分寫的很詳細,入門的好書。
評分前幾天在朋友圈裏看到一篇“1+1=2”來介紹category的,草草讀瞭一下,就想起若乾年前讀過的這本書瞭。這本書好在確實把最好的東西都放進去瞭,不好之處在於堆瞭一大堆雜貨,如果讀這種厚書,學會切住最重要的東西可能是首要的。
評分一定要去百度作者的名字,找到他的主頁,上頭有個勘誤錶,下載下來。 這本書寫的風格和國內代數學課本的風格很像。 我想或許應該反過來說,國內前一代數學傢很多是讀Rotman的風格學的。 還是很好讀的,講得很全。 不過行文單純是知識的記錄,甚至有些地方的文字講解很刻闆,和gelfand的旁徵博引,從各個角度去理解差遠瞭。
評分Rotman可謂某種程度上的鹹魚之友(褒義)。
An Introduction to Homological Algebra 2025 pdf epub mobi 電子書 下載