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.
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碾揪生 課程 良好 預備
评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。
评分終於翻完瞭這本小巨著,深覺會的部分講得好淺,不會的部分看這個也不能入門QAQ
评分萬門大學童哲推薦的。
评分以前讀的,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。
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