数学拾遗

书名：数学拾遗研究生必备数学知识
作者：加黑蒂
译者：
ISBN：9787302090854
出版社：清华大学出版社
出版时间：2004-08-01
格式：epub/mobi/azw3/pdf
页数：347
豆瓣评分： 8.6

书籍简介：

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.

作者简介：

Thomas A. Garrity is the Webster Atwell Class of 1921 Professor of Mathematics at Williams College, Massachusetts, where he was the director of the Williams College Project for Effective Teaching for many years. Among his awards are Rice University's Nicolas Salgo Outstanding Teaching award and the Haimo award of the MAA. His other books include Algebraic Geometry: A Problem Solving Approach (2013, co-authored) and Electricity and Magnetism for Mathematicians (2015).

书友短评：

@ GoodMorning 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。 @ 阅微草堂 很多原创的思想隐藏在初次证明里面。线性代数的关键在于不同的可逆条件的等价性，解方程等价于算子的核元素。复分析的关键是不同的解析函数的定义的等价性。计算复杂性问题本质是可构造性和存在性证明的区别。粒子的运动和曲线（波）的运动是过程和对象之间的类比；Lewy's Example本质是解存在依赖于几何条件 @ Grasie 不像教材，像教辅。 @ Viiiiiii 好吧，其实我不打算读 @ 枸橼之尘 differential forms 那块还是不会啊不会啊 @ PenguinFalcon 感觉除了列出书目之外并没有太大用… @ 地狱里的麻醉师 这是一本真正想帮助初入数学殿堂的人的武林秘籍。想写一本炫耀式的专著对“数学家”来说并不难，但如何用三百页写一本实用的数学丛林生存指南恐怕是一般数学家不愿意做也做不好的。如果你以后的职业生涯中会大量的涉及到数学方面的知识，在研究生阶段把这本书读完吧。 @ Grasie 不像教材，像教辅。 @ Fetalian 感觉内容太少 @ 黄色小星星 据说很经典 下次再看

　　天元基金影印系列丛书(共14册)，这套丛书还有《偏微分方程组中的李结构法》《代数拓扑》《特殊函数》《旋度与湍流》《物理学家的几何学》等。

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