Michael Artin,当代领袖型代数学家与代数儿何学家之一,美国麻省理工学院教授。由于他在交换代数与非交换代数、环论以及现代代数儿何学等方面做出的毕生贞献,2002年获得美因数学学会颁发的Leroy P.Steele终身成就奖。Artin的生要贡献包括他的逼近定理,在解决沙法列维奇-泰特猜测中的工作以及为推广“概形”而创建的“代数空间”概念。
In writing the book, I tried to follow these definitions:
1. The basic examples should precede the abstract definitions.
2. Technical points should be presented only if they are used elsewhere in the book.
3. All topics should be important for the average mathematician. (查看原文)
Important though the general concepts and propositions may be with which the modern and industrious passion for axiomatizing and generalizing has presented us, in algebra perhaps more than anywhere else, nevertheless I am convinced that the special problems in all their complexity constitute the stock and core of mathematics, and that to master their difficulties requires
on the whole the harder labor.
——Herman Weyl (查看原文)
下面的文字摘录自 Recountings: You taught a year-long undergraduate algebra course for about thirty years, which ultimately became an algebra textbook.14 The user reviews on Amazon are very interesting. People either don’t get what you’re trying to do, o...
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读到英文影印本的第7章后,好奇那些非英语的名人名言(在各章的开头/结尾)是什么意思,利用了互联网上的翻译工具,大致整理如下。 第一章, 矩阵 欧拉: 英文:Literally everything is called a quantity that is capable of being increased or decreased, or to which somet...
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0 有用 discuz_x 2022-07-01 17:28:09
书籍是作者的上课讲义改编的,作者是领域大佬,本身很厉害,但本书的行文结构与讲述方式读起来让人很困扰,如果能调整一下各个章节之间的顺序,一定能让读者阅读起来更轻松一些。
0 有用 johnsmith 2014-01-21 18:32:34
经典
0 有用 蓝鸢唯紫 2012-03-16 08:41:22
和高代融合在一起,和havard课程配套~
0 有用 Cherubic X 2011-12-07 22:58:37
吐血了 代数学不懂( ⊙ o ⊙ )
1 有用 Das 2021-11-13 11:07:05
Artin大神的作品,着重简明,基础的体系建设,以命题组的形式推演逻辑。 Galois理论太漂亮了!(虽然习题完全做不来)