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
##高等代數學,或依其主要講授內容稱之為綫性代數一直是教學方法難以得到統一的數學領域。就我之前翻閱過的《綫性代數(同濟)》將行列式作為基本工具首先介紹。引入逆序數概念,容易一開始就學得一頭霧水。《代數與幾何》作為我們使用的優秀教材,基本思路是通過描述綫性映...
評分##Mediocre textbook.
評分##習題確實很啓發。。但是做不齣來就很痛苦。。。有答案就好瞭 可以看的快一點。。。之前還覺得應該可以很快看完。。。但是後來還是像緒裏麵說的 要想一個小時內看完 應該是太快瞭 一點都不誇張
評分 評分 評分 評分##讀這本書時候感到瞭三種滿足: [1] 首先是書中所講授的知識。 大部分書籍是講矩陣和方程組計算多一些。而這本書另闢蹊徑,以綫性空間為始,以綫性變換為基礎講授瞭相關的知識,並把實空間和復空間統一講解。思路清晰,層層推進,非常流暢。讓人知其然也。習題是正文的補充,可...
評分 評分##讀這本書時候感到瞭三種滿足: [1] 首先是書中所講授的知識。 大部分書籍是講矩陣和方程組計算多一些。而這本書另闢蹊徑,以綫性空間為始,以綫性變換為基礎講授瞭相關的知識,並把實空間和復空間統一講解。思路清晰,層層推進,非常流暢。讓人知其然也。習題是正文的補充,可...
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