Linear Algebra Done Right pdf epub mobi txt 电子书下载 2025

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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。

出版者:Springer Verlag

作者:Sheldon Axler

出品人:

页数:268

译者:

出版时间:1997-7

价格:$ 90.34

装帧:HRD

isbn号码:9780387982595

丛书系列:Undergraduate Texts in Mathematics

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This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: 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 (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, 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. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

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读后感

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读了7章，前3章讲的是基本概念。尤其是第3章对于算子的矩阵是一个很不错的引入方式。后面的章节主要围绕下面的观点展开：寻找条件使得算子的矩阵包含尽可能多的0（参看P82倒数第3段）下面分4种情形看， 1、向量空间命题5.12,定理5.13讲的是上三角矩阵命题5.21讲的是...

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不配这个评分

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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并不准确，但也不想修改。此书在数学的学习中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），属于那种数学领域的入门级读物，要是真...

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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...