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discrete-math-lectures

Lectures on Discrete Mathematics @ software.nju.edu.cn

阅读材料

  • 《离散数学结构》
  • 《离散数学及其应用》
  • 《计算机科学中的数学》
  • 《具体数学》

周历

周次 日期 (周四) 主题 阅读材料
1 2021-03-04 0-overview
2 2021-03-11 1-prop-logic
3 2021-03-18 2-predicate-logic
4 2021-03-25 3-mathematical-induction
5 2021-04-01 4-set
6 2021-04-08 5-relation
7 2021-04-15 6-function
8 2021-04-22 7-ordering
9 2021-04-29 8-infinity
10 2021-05-06 9-paths-cycles
11 2021-05-13 10-trees
12 2021-05-20 11-planarity-coloring
13 2021-05-27 12-matching-flow
14 2021-05-29 13-group
15 2021-06-03 14-subgroup
16 2021-06-10 15-review

后续课程建设计划

  • Coq
  • SAT
  • SageMath
  • Mathematica
  • 1B3B

TODO

  • OCW
    • Logic
    • Proof
      • Lossless Compression (Pigeonhole Principle)
      • Increasing/Decreasing Subsequences (Paul Erdos)
      • Art gallery problem
    • Set Theory
      • Cantor-Schröder–Bernstein
    • Group Theory
      • 15-Puzzle
      • Burnside Lemma (in Group Theory)
    • Graph Theory
      • 5-Color Theorem
      • Cayley's Formula (Counting Trees)
      • Network flow, Hall theorem, Maximum-matching theorem, Dilworth theorem

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