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.
Sheldonc Axler,11975年毕业于加州大学伯克利分校,1现为旧金山州立大学理工学院院长.a《美国数学月刊》的编委,1MathematicalcIntelligencer主编,1同时还是Springer的GTM研究生数学教材系列等多个系列丛书的主编。
截止今天终于把这本书看完了。首先说一下我的 看书历程 ,去年看到了第3章大约第二节就放弃了,今年重新把它捡了起来一共花了两个月的多的时间才看完。期间每天花好几个小时看书、做课后的习题(除了中间好几次出去游玩),最后三章的课后习题包括前几章个别当时没做出来的习题...
评分截止今天终于把这本书看完了。首先说一下我的 看书历程 ,去年看到了第3章大约第二节就放弃了,今年重新把它捡了起来一共花了两个月的多的时间才看完。期间每天花好几个小时看书、做课后的习题(除了中间好几次出去游玩),最后三章的课后习题包括前几章个别当时没做出来的习题...
评分首先要声明的是,这本书可以说是一本介于工科线性代数与数学系高等代数之间的书。换句话说,这本书是一本单纯介绍线性映射的书,几乎不涉及到任何具体的“矩阵运算”问题。这本书和工科的线性代数加起来,基本上就构成了数学系的高等代数的内容(可能还是比数学系的内容少)。...
评分现在回头看,其实就是早先国内教法僵化,赶不上时代了,这本书又恰巧被引进过来,所以显得弥足珍贵。 ------------------------------------------------------------------- 给大学新生上的线性代数和高等数学课,也许是为了侧重灌输实用知识,教给学生的更多是一堆眼花缭乱的...
评分不配这个评分
比done wrong的思路奇怪很多
评分比done wrong的思路奇怪很多
评分I love math 113
评分名副其实的done right
评分主要关注矩阵的线性映射,直到最后一章才提到了关于矩阵自身的迹和行列式。另外,我是看了这个链接之后才发觉有这本书的。http://www.mysanco.com/wenda/index.php?class=discuss&action=question_item&questionid=1693
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