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
發表於2024-06-01
Linear Algebra Done Right (3rd ed) 2024 pdf epub mobi 電子書 下載
現在迴頭看,其實就是早先國內教法僵化,趕不上時代瞭,這本書又恰巧被引進過來,所以顯得彌足珍貴。 ------------------------------------------------------------------- 給大學新生上的綫性代數和高等數學課,也許是為瞭側重灌輸實用知識,教給學生的更多是一堆眼花繚亂的...
評分Linear Algebra Done Right的名聲實在太大瞭,作者本人對此書也是信心滿滿,從“Done Right”的命名到所謂的“一頁要看一小時”的論調,都使此書充滿瞭網紅感。實際上,自然有一頁看一小時的書,但Axler這本書遠遠排不上號。 這本書一般被推薦為綫性代數的Second Course,似乎F...
評分不配這個評分
評分考研的時候上過李永樂的綫性代數課,學到瞭很多計算方法和做題技巧,但僅限於這個層麵,對於一些綫性代數的insight完全不懂。最近在準備考博復習的時候,《矩陣論》這本書看的實在是太卡殼瞭,決定還是先補一下綫性代數的基礎知識,對綫性代數的認識不能隻停留在計算層麵,在知...
評分讀瞭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...
圖書標籤: 數學 綫性代數 Linear_Algebra Mathematics Algebra 教材 英文原版 Math
這本書真的不適閤初學者,前兩章隻是讓你看著很美好。
評分第三版加入瞭對偶空間的內容和一些習題,話說另外一本Done wrong也很好~
評分極力推薦!Linear map觀點下的linear algebra簡潔優雅多瞭。書裏還藏瞭好多彩蛋(174頁上"orthogonal"的段子,還有找找314頁:)
評分好多人打三星的理由都是這本書不適閤初學者學...但是這個不是從目錄就看得齣來嗎 跳過傳統教材中的矩陣/行列式直接從綫性空間/映射的角度入手我覺得對於後麵進階內容的學習很有幫助啊 況且大部分的綫代教材不太會講quotient space, duality, spectral theorem之類的吧 正如某位網友評論所道 “用泛函分析降維攻擊綫性代數” 這本書如果拿來第二遍復習鞏固的話會發現整個體係非常漂亮
評分代數的語言過瞭一遍矩陣分析的感覺
Linear Algebra Done Right (3rd ed) 2024 pdf epub mobi 電子書 下載