Beginning graduate students in mathematics and other quantitative subjects are expected to have a daunting breadth of mathematical knowledge. But few have such a background. This 2002 book will help students to see the broad outline of mathematics and to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, probability, complex analysis, abstract algebra, and more. An annotated bibliography then offers a guide to further reading and to more rigorous foundations. This book will be an essential resource for advanced undergraduate and beginning graduate students in mathematics, the physical sciences, engineering, computer science, statistics, and economics who need to quickly learn some serious mathematics.
發表於2024-05-17
All the Mathematics You Missed 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 Mathematics 科普 科學 思維 物理學 數學 Math
for graduate students
評分以前讀的,實際每個章節講得超級簡單,也就給齣瞭基本定義。作為中學生科普或許比較閤適。
評分大概高中生就能讀,沒有看最後幾章,感覺最難的是微分形式那章偷懶放下瞭,對本科數學各部分的核心做瞭介紹,想瞭解數學各個領域都是研究什麼可以從這本書開始
評分適閤美國高年級本科生看,研究生偶爾也可以迴頭看看入門下沒學過的領域。這本書的缺點和優點是一樣的:麵麵俱到但是每個點都沒辦法細說。不是說每個領域都要完全cover,但是離五星的差距就是沒足夠的insight和高觀點。當然,it does a pretty good job on what it is supposed to do。然而靠這本書是沒辦法考過中等以上美國學校的phd資格考試的,不過光想靠這本就混過去那也沒讀phd的必要瞭。
評分正在分辨不清雅可比矩陣與黑賽矩陣,或者一緻連續與逐點連續,或者散度與鏇度,或者測度與度量的時候,遇到瞭這本書。
All the Mathematics You Missed 2024 pdf epub mobi 電子書 下載