发表于2025-04-05
An Introduction to Homological Algebra 2025 pdf epub mobi 电子书
图书标签: 同调代数 数学 HomologicalAlgebra Algebra 拓扑 小径分岔的花园 其余代数7 代数拓扑
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.
证明很细致,适合初学者,不过内容稍微有点杂,主题切入的有点慢,篇幅有点大,初学可能需要取舍
评分一定要去百度作者的名字,找到他的主页,上头有个勘误表,下载下来。 这本书写的风格和国内代数学课本的风格很像。 我想或许应该反过来说,国内前一代数学家很多是读Rotman的风格学的。 还是很好读的,讲得很全。 不过行文单纯是知识的记录,甚至有些地方的文字讲解很刻板,和gelfand的旁征博引,从各个角度去理解差远了。
评分印刷错误也太多了吧。。。
评分写的很详细,入门的好书。
评分Rotman可谓某种程度上的咸鱼之友(褒义)。
An Introduction to Homological Algebra 2025 pdf epub mobi 电子书