發表於2025-05-06
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
Linear Algebra Done Right (3rd ed) 下載 mobi pdf epub txt 電子書 格式 2025
Linear Algebra Done Right (3rd ed) 下載 mobi epub pdf 電子書##讀瞭7章,前3章講的是基本概念。尤其是第3章對於算子的矩陣是一個很不錯的引入方式。 後麵的章節主要圍繞下麵的觀點展開:尋找條件使得算子的矩陣包含盡可能多的0(參看P82倒數第3段) 下麵分4種情形看, 1、嚮量空間 命題5.12,定理5.13講的是上三角矩陣 命題5.21講的是...
評分 評分 評分##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 評分##這是一本綫性代數的高階教程和普通的綫性代數教程不同。他主要介紹的是嚮量空間一綫性算子,采用瞭直接的方法。插入綫性算子的基本理論,拋開瞭行列式的難懂由淺入深的介紹瞭謝謝代收的核心知識。這是2015年的第三版可能不是最新的,但是應該說還是相當的新,在讀這本書的時候...
評分 評分##網上有這書配套視頻。可以認為是第二門綫性代數課程的教材吧。 啥時候網上再搬運個advanced linear algebra的課程,達到peter lax那本書的難度,那豈不是都齊活瞭。 都是一個主題,有工科的、有數學的;有偏理論的,有偏應用和計算的,還有結閤具體學科講的,果然是得多找資源,反復學纔能有所得。
Linear Algebra Done Right (3rd ed) mobi epub pdf txt 電子書 格式下載 2025