Beginning graduate students in mathematics and other quantitative subjects are expected to have a daunting breadth of mathematical knowledge ,but few have such a backgroud .This book will help stedents see the broad outline of mathematics and to fill in the gaps in their knowlegde.
The author explains the basic points and a few key results of the most important undergradute topics in mathematics ,emphasizing the intutions behind the subject.The topics include linear algebra,vector calculus,differential geometry,real analysis ,point-set topology,differential equations,probability theory,complex analysis,abstract algebra,and more.An annotated biliography offers a guide to further reading and 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,and for anyone else who needs to quickly learn some serious mathemaics.
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感觉内容太少
评分differential forms 那块还是不会啊不会啊
评分不像教材,像教辅。
评分1,2章全部+部分散篇 号称休闲读物
评分好书。三百余页的书覆盖了如此广泛的数学,而且深入浅出实属不易。尽管每一专题都是brief overview,但即使是学过此专题,书中对于intuition的强调仍然让人受益匪浅。
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