抽象线性代数
Abstract linear algebra
Morton Landers Curtis · 初版 1990 年
2位读者提及
2次提及
本书从零基础起步，系统阐述Linear Algebra的标准主题，适合作为该学科入门课程的教材。本书的终极目标是Hurwitz定理——即实数域上的赋范可除代数仅有实数、复数、四元数和八元数。本书以初等水平呈现这部分内容，独具特色，注重学科完整的逻辑发展脉络，将成为广大数学家的宝贵参考资料。
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老实说，我甚至都不确定再复习一遍能有多大用。当年在学校读 Curtis 的《Abstract Linear Algebra》时，我被线性代数折磨得够呛，最后我索性在数学图书馆闭关了将近一个星期，翻遍了他们馆藏的每一本线性代数书（绝对超过33本），就为了找到最好的辅助材料。…
Honestly, I'm not even sure how much a review would help either. I struggled quite a bit with linear algebra in school with Curtis' Abstract Linear Algebra, and eventually I decided to hole up in the math library for the better part of a week and went through every linear algebra book they had (definitely more than 33) to find the best supplementary material.…
…也就是所谓的后向误差和前向误差（backward and forward errors）——取决于你的具体需求。* * * 顺便说一句，这类内容通常在 Golub 和 Van Loan、或者 Trefethen 和 Bao 的书里会讲到，但在标准的《Abstract Linear Algebra》教材里是看不到的。比如说，Strang 的书就只用了一章来介绍数值线性代数。
…known as backward and forward errors -- depending on what you need. * * * Incidentally, this is the kind of stuff that's covered in Golub and Van Loan, or in Trefethen and Bao, but not in a standard Abstract Linear Algebra book. For instance, Strang's book spends only one chapter on numerical linear algebra.