David C. Lay 在美國加利福尼亞大學獲得碩士和博士學位。他是馬裏蘭大學帕剋學院數學係教授,同時還是阿姆斯特丹大學、阿姆斯特丹自由大學和德國凱澤斯勞滕大學的訪問教授。Lay教授是“綫性代數課程研究小組”的核心成員,發錶瞭30多篇關於泛函分析和綫性代數方麵的論文,並與他人閤著有多部數學教材。
Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a "brick wall." Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. Lay introduces these concepts early in a familiar, concrete R^n setting, develops them gradually, and returns to them again and again throughout the text. Finally, when discussed in the abstract, these concepts are more accessible. Students' conceptual understanding is reinforced through True/False questions, practice problems, and the use of technology. David Lay changed the face of linear algebra with the execution of this philosophy, and continues his quest to improve the way linear algebra is taught with the new Updated Second Edition. With this update, he builds on this philosophy through increased visualization in the text, vastly enhanced technology support, and an extensive instructor support package. He has added additional figures to the text to help students visualize abstract concepts at key points in the course. A new dedicated CD and Website further enhance the course materials by providing additional support to help students gain command of difficult concepts. The CD, included in the back of the book, contains a wealth of new materials, with a registration coupon allowing access to a password-protected Website. These new materials are tied directly to the text, providing a comprehensive package for teaching and learning linear algebra.
發表於2024-06-01
Linear Algebra and Its Application 2024 pdf epub mobi 電子書 下載
PCA這麼重要的東西應該與SVD一樣專門寫一段,而不是放在“7.5 圖像處理和統計學中的應用”底下當成普通例子來寫。雖然這裏PCA寫的是真清晰真透徹,秒殺網上無數介紹。另外,SVD講的太簡略瞭,看完公式也抓不住本質。最好加入幾何理解角度,並談談與PCA的異同。
評分在幾種綫性代數入門教材中我想這是最適閤中國普通學生的瞭,抽象能力好的入門可以看linear algebra done right (修改這一部分,抽象能力好的不應該看linear algebra done right這本,這本其實真不好的,抽象能力好的我推薦gelfand的綫性代數學(lecture notes on algebra) 或者...
評分認識一本好書就像遇見對的人,這本書就給我這種感覺,相見恨晚! 先說那些小裝飾,章前都有相關知識對應的生活應用實例+配圖,雖然內容很少,但也很好地拉近瞭綫代與生活的距離;一些注釋會有一些參考文獻的名字,偶爾去網上翻一下可以深入瞭解,甚至能挖到一些厲害的書,很開...
評分最近想進修一下統計,遇到第一個難關就是綫性代數,好多東西都忘得差不多瞭,隻記得某年某月曾算過特徵值和特徵嚮量…… 依稀記得當年考研時候用的就是Lay老人傢這本書的中文版,但想到自己已經是研究僧瞭,應該看看原版書瞭,於是決定厚顔無恥地去愛問上偷書。下...
評分這周的作業有馬爾科夫鏈和狀態轉移矩陣。最後變換為求解三元和四元的微分方程組的特解。 一類解法是拉普拉斯變換之後分離s和x(t),再使用逆變換。很不幸的是我功力尚淺,變換之後得到瞭一個滿秩的齊次綫性方程組。顯然求解不下去。 另一種方法是矩陣的特徵值和特徵嚮量,相應的...
圖書標籤: 綫性代數 數學 應用 mathematics linear_algebra 教材
綫代基礎
評分大愛~~~~寫的相當相當好!
評分不多的完整讀完的幾本數學書,在第一章就講到瞭綫性變換,附以圖形和解釋,也不會讓人覺得太唐突,確實厲害。老外的書以書中圖形多少作為書的一個亮點,國人為什麼做不到呢?
評分淺顯易懂,適閤像我這樣上過綫代但是需要重新撿起來的人閱讀,裏麵給的應用也比較切閤實際,Numerical Note還可以在算法上提供一些建議。比國內的教材好的不是一星半點
評分大愛~~~~寫的相當相當好!
Linear Algebra and Its Application 2024 pdf epub mobi 電子書 下載