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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一本试图以数学打通各个理工科的自学教辅/休闲读物，将近400页居然能覆盖如此广泛的数学~做到每一专题都是brief overview实属不易，值得赞赏的是很多原创的思维隐藏在了初次证明里面，然并，原来懂的还是一眼就明白了，原来读不懂的还是不懂...
评分万门大学童哲推荐的。
评分以前读的，实际每个章节讲得超级简单，也就给出了基本定义。作为中学生科普或许比较合适。
评分It's similar to having dinner with a mathematician who can't stop talking about the topics they love.
评分碾揪生 课程 良好 预备
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