Sheldon Axler is Dean of the College of Science & Engineering at San Francisco State University. He has authored many well-received books including Precalculus: A Prelude to Calculus, Algebra & Trigonometry, College Algebra, A Glimpse at Hilbert Space Operators, Harmonic Function Theory, and Holomorphic Spaces.
New edition extensively revised and updated
Covers new topics such as product spaces, quotient spaces, and dual spaces
Features new visually appealing format for both print and electronic versions
Includes almost three times the number of exercises as the previous edition
This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.
The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.
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. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.
From reviews of previous editions:
“… a didactic masterpiece”
—Zentralblatt MATH
“… a tour de force in the service of simplicity and clarity … The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library.”
—CHOICE
The determinant-free proofs are elegant and intuitive.
—American Mathematical Monthly
“Clarity through examples is emphasized … the text is ideal for class exercises … I congratulate the author and the publisher for a well-produced textbook on linear algebra.”
—Mathematical Reviews
我写了两份文档,但豆瓣上不能编辑公式,所以只把不涉及公式的一部分小结贴出来。) “近年来最具创新性的线性代数教材,每一位大学生都不可错过.” 这是写在中译版背后的语录.冲着“每一位大学生”,我开始读这本书.原本只是为了复习一下已经忘得差不多的大一课程,...
评分这本书从一开始就在云端筑屋 吾等凡辈找不着梯子啊找不着梯子~ 于是看到第二章后再也坚持不住 去看 David C. Lay 的 Linear Algebra and Its Applications了 呵呵 等忙完了这阵再回来看
评分我写了两份文档,但豆瓣上不能编辑公式,所以只把不涉及公式的一部分小结贴出来。) “近年来最具创新性的线性代数教材,每一位大学生都不可错过.” 这是写在中译版背后的语录.冲着“每一位大学生”,我开始读这本书.原本只是为了复习一下已经忘得差不多的大一课程,...
评分在学校学了一学期的线性代数,本来对向量空间这样的概念很有兴趣,但上了这么一学期课之后反而兴趣消失殆尽了。学校的教材完全就是公式的堆积,就给你一个又一个公式,不管是考试还是教材中的证明,给人的感觉就是从书中的某个角落里抠出一个公式来证明。让人完全感受...
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...
对比了第三版和第二版的第五章,第三版易读多了 didn't enjoy it as much as I expected. found<linear algebra with geometric applications by larry mansfield> in library instead. the latter structures in a way more comprehensive and straightforward, at least for me.
评分网络上有很多人把这本书给初学者推荐,我不知道你们究竟读没读过,尤其资质差的初学者,应该连第一章里的很多例子给想不明白。
评分读了半本
评分网络上有很多人把这本书给初学者推荐,我不知道你们究竟读没读过,尤其资质差的初学者,应该连第一章里的很多例子给想不明白。
评分读了半本
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