發表於2025-05-29
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##用泛函分析降維攻擊綫性代數
評分##在看過一遍常規綫代教材之後,再看這本書,可以看到新的視野。書寫十分流暢,還標有作者的理解,後麵的習題也很好,習題選擇的視角也頗具特色。
評分 評分##這本書從一開始就在雲端築屋 吾等凡輩找不著梯子啊找不著梯子~ 於是看到第二章後再也堅持不住 去看 David C. Lay 的 Linear Algebra and Its Applications瞭 嗬嗬 等忙完瞭這陣再迴來看
評分##非常推薦
評分 評分##我隻能說這對於中國大部分學生而言不是一本好的教材,對於工科生,很明顯太過於深入,幾乎沒有涉及到應用層麵,比如對角化、SVD分解、QR分解等等的重要應用一概沒有涉及。對於數學係同學,又不夠專業與深入。薄可能隻是第一印象,翻開基本上全是一堆定義、性質、定理、推論的堆...
評分 評分Linear Algebra Done Right (3rd ed) mobi epub pdf txt 電子書 格式下載 2025