离散数学(英文版)

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  • 2014-05-16
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就第一集做了字幕,其他的不考虑做了. 简介:Arthur T. Benjamin这个老师语言清晰,思路清楚,讲解生动形象.学起来也不费时间.他还在TED上表演过数学魔术呢,感兴趣的移步:http://www.ted.com/talks/arthur_benjamin_does_mathemagic.此专辑主要针对大一大二的同学吧.作者个人网站:https://www.math.hmc.edu/~benjamin/


教程列表:

00. Professor Bio

01. What Is Discrete Mathematics

02. Basic Concepts of Combinatorics

03. The 12-Fold Way of Combinatorics

04. Pascal's Triangle and the Binomial Theorem

05. Advanced Combinatorics—Multichoosing

06. The Principle of Inclusion-Exclusion

07. Proofs—Inductive, Geometric, Combinatorial

08. Linear Recurrences and Fibonacci Numbers

09. Gateway to Number Theory—Divisibility

10. The Structure of Numbers

11. Two Principles—Pigeonholes and Parity

12. Modular Arithmetic—The Math of Remainders

13. Enormous Exponents and Card Shuffling

14. Fermat's ''Little'' Theorem and Prime Testing

15. Open Secrets—Public Key Cryptography

16. The Birth of Graph Theory

17. Ways to Walk—Matrices and Markov Chains

18. Social Networks and Stable Marriages

19. Tournaments and King Chickens

20. Weighted Graphs and Minimum Spanning Trees

21. Planarity—When Can a Graph Be Untangled

22. Coloring Graphs and Maps

23. Shortest Paths and Algorithm Complexity

24. The Magic of Discrete Mathematics


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