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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for graduate students
评分查漏補缺...可怕的PhD life已經來瞭
评分萬門大學童哲推薦的。
评分一本試圖以數學打通各個理工科的自學教輔/休閑讀物，將近400頁居然能覆蓋如此廣泛的數學~做到每一專題都是brief overview實屬不易，值得贊賞的是很多原創的思維隱藏在瞭初次證明裏麵，然並，原來懂的還是一眼就明白瞭，原來讀不懂的還是不懂...
评分for graduate students
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