1 The How, When, and Why of Mathematics Spotlight: George Polya Tips on Doing Homework 2 Logically Speaking 3 Introducing the Contrapositive and Converse 4 Set Notation and Quantifiers Tips on Quantification 5 Proof Techniques Tips on Definitions …… 10 Relations Tips on Reading Mathematics 11 Partitions Tips on Putting It All Together 12 Order in the Reals 13 Consequences of the Completeness of R Tips: You Solved ItNow What? 14 Functions, Domain, and Range Spotlight: The Definition of Function 15 Functions, One-to-One, and Onto 16 Inverses 17 Images and Inverse Images Spotlight: Minimum or Infimum? 18 Mathematical Induction 19 Sequences 20 Convergence of Sequences of Real Numbers 21 Equivalent Sets 22 Finite Sets and an Infinite Set 23 Countable and Uncountable Sets 24 The Cantor–Schroder–Bernstein Theorem Spotlight: The Continuum Hypothesis ……
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《计算机问题求解》课程教学资源（参考教材）Computer Algorithms - Introduction to Design and Analysis
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《计算机问题求解》课程教学资源（阅读材料）Computational Thinking：What and Why?
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Part I. Preliminaries Part II. Methods and Analysis Part III. Limitations and Robustness Part IV. Relaxing the Rules Part V. The Bigger Picture
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南京大学：《计算机问题求解》课程教学资源（课件讲稿）图论的其它专题（平面图与图着色）
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南京大学：《计算机问题求解》课程教学资源（课件讲稿）图中的匹配与覆盖（图中的匹配与因子分解）
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