数学拾遗

出版时间：2004-8  出版社：清华大学出版社  作者：加黑蒂  页数：347  
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内容概要

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.

书籍目录

Preface On the Structure of Mathematicsbrief Summaries of Topics  0.1 Linear Algebra   0.2 Real Analysis   0.3 Differentiating Vector-Valued Functions   0.4 Point Set Topology   0.5 Classical Tsokes' theorems   0.6 Diferential forms and Stokes' Theorem  0.7 Curvature for Curves and Surfaces  0.8 Geometry   0.9 comples Analysis   0.10 Countability and the Axiom of Choice   0.11 Algebra        0.12 Lebesgue Integration   0.13 Fourier Analylsis  0.14 Differential Equations   0.15 Combinatorics and Probability Theory   0.16 Algorithms 1 Linear Algebra 2 * and * Real Analysis 3 Calculus for Vector-Valued Functions 4 Point Set Topology 5 Classical Stokes' Theorems 6 diffenrential Forms and Stokes' Thm.7 Curvature for Curves and Surfaces8 Geometry 9 Complex Analysis 10 countability and the Axiom of choice 11 Algebra 12 Lebesgue Integration 13 fourier Analysis14 differential Equations 15 Combinatorics and Probability 16 Algorithms A Equivalence Relations

用户评论 (总计6条)

•   刚读工科，里头的知识补漏得很全面，且是全英文版，我只能慢慢啃，有些地方可谓完全看不懂，但是过几天重新翻，又会慢慢理解了，这类工具书适合当案头常翻本
•   静下心看~
•   还非常不错的，适合床头书，英文的
•   学过一点儿数学的拿到这本书第一感觉就知道不能拿来正正经经地学的。只能是需要什么的时候以此为参考去翻查相应的专著。
•   书倒是不错，需要一定的英文水平和数学基础啊
•   这本书似乎不太侧重于理论公式的推导，而更注重理论的本质意义，确实可做为教材的补充。