Linear Algebra Done Right (3rd ed)

Linear Algebra Done Right (3rd ed) pdf epub mobi txt 电子书 下载 2025

Sheldon Axler
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Springer International Publishing 2014-11-6 Hardcover 9783319110806

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

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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...  

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##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...  

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##高等代数学,或依其主要讲授内容称之为线性代数一直是教学方法难以得到统一的数学领域。就我之前翻阅过的《线性代数(同济)》将行列式作为基本工具首先介绍。引入逆序数概念,容易一开始就学得一头雾水。《代数与几何》作为我们使用的优秀教材,基本思路是通过描述线性映...  

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##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  

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