具体描述
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
用户评价
##读这本书时候感到了三种满足： [1] 首先是书中所讲授的知识。 大部分书籍是讲矩阵和方程组计算多一些。而这本书另辟蹊径，以线性空间为始，以线性变换为基础讲授了相关的知识，并把实空间和复空间统一讲解。思路清晰，层层推进，非常流畅。让人知其然也。习题是正文的补充，可...
评分 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 评分##真的是越学越觉得Axler这本问题大，正文材料太简单然后练习题的难度又完全不相称。所谓的一开始就从抽象概念（Linear map)而不是传统的Matirx讲起确实是不错，不过因为各个材料平均施力完全看不出重点可以说是最大的败笔。强烈不建议只看这本，如果想学好Lin alg应该再加那本fin dim vector spaces， 对dual, spectrum theorem, Jordan form还有matrix的理解会好很多。
评分 评分 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。
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