Sheldonc Axler,11975年畢業於加州大學伯剋利分校,1現為舊金山州立大學理工學院院長.a《美國數學月刊》的編委,1MathematicalcIntelligencer主編,1同時還是Springer的GTM研究生數學教材係列等多個係列叢書的主編。
This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
發表於2024-12-31
Linear Algebra Done Right 2024 pdf epub mobi 電子書 下載
以下內容是初讀此書時寫的,有些內容經過一段時間的學習發現許多並不準確,但也不想修改。此書在數學的學習中隻能是基礎中的基礎(找professor時候說我認真學完瞭這本書他鄙視瞭一番,you should read xxxx, not liike Sheldon Axler),屬於那種數學領域的入門級讀物,要是真...
評分現在迴頭看,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
評分昨晚終於看完,終於在最後一章幾乎最後一節見到瞭我們熟悉的行列式…… 全書不是用國內的那種行列式,矩陣的方法來說明綫性空間和綫性代數。 證明過程也都很簡潔優美,不需要傳統的矩陣式的證明。 裏麵有些符號和國內的標準有些不同……不過側邊欄的一些小知識很有意思
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
圖書標籤: 數學 綫性代數 Algebra Mathematics LinearAlgebra 教材 代數 經典
簡單易懂,適閤低段位如我者迴爐再造之用。
評分全新的視野
評分萌點大概就是順序……其他真的是hard to rate……
評分主要關注矩陣的綫性映射,直到最後一章纔提到瞭關於矩陣自身的跡和行列式。另外,我是看瞭這個鏈接之後纔發覺有這本書的。http://www.mysanco.com/wenda/index.php?class=discuss&action=question_item&questionid=1693
評分news.ycombinator 迴帖推薦。
Linear Algebra Done Right 2024 pdf epub mobi 電子書 下載