This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined deter...
This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
Undergraduate Texts in Mathematics(共154册)，
这套丛书还有
《Linear Algebra》《Elements of Mathematics》《Measure, Topology, and Fractal Geometry》《Mathematics and Its History》《Complex Analysis》
等
。
very hard to rate. Whether it had "done right" really depends on the perspective of the intended reader. I personally dislike this book, as it's too wordy for people looking for an abstract introducti...very hard to rate. Whether it had "done right" really depends on the perspective of the intended reader. I personally dislike this book, as it's too wordy for people looking for an abstract introduction to linear algebra. And it's unnatually self-rightous for people who are just looking for a general introduction to linear algebra. (展开)
以下内容是初读此书时写的，有些内容经过一段时间的学习发现许多东西并不准确（且幼稚）但也不想修改。如果是做纯数research（phd之类的）这只能是基础中的基础（找professor时候说我认真学完了这本书他鄙视了一番，you should read xxxx, not liike Sheldon Axler），属于入门...
(展开)
![[美国] Sheldon Axler](https://img1.doubanio.com/view/personage/m/public/3b00f486efbfe9f15277095cf69e0478.jpg)
tianyikillua
团团就爱团团转
人民邮电出版社2009版
OrganicMilk
Springer International Publishing2014版
豆友207282466
人民邮电出版社2016版
0 有用 cozyberry 2010-11-15 14:36:40
书如其名，好久没有读到“令人怦然心动”的教材了。
0 有用 Mixolydian 2016-06-10 22:43:33
Not for me
0 有用 neo_fisherian 2013-07-17 15:47:51
very hard to rate. Whether it had "done right" really depends on the perspective of the intended reader. I personally dislike this book, as it's too wordy for people looking for an abstract introducti... very hard to rate. Whether it had "done right" really depends on the perspective of the intended reader. I personally dislike this book, as it's too wordy for people looking for an abstract introduction to linear algebra. And it's unnatually self-rightous for people who are just looking for a general introduction to linear algebra. (展开)
0 有用 稀树草原 2020-05-24 05:38:29
补标个～～还是很好的
0 有用 旧学新知 2013-10-23 11:09:19
再读了一下不变子空间部分