# Discrete Mathematics

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Category: Mathematics
Slides: 32
Updated: 2026-05-15T22:18:37.869Z
Tags: mathematics, discrete, math

## Summary

The mathematics of objects you can count. Key sections include: Discrete math.; // 01 — Opening What discrete math is.; // 02 — Foundation Sets.; // 03 — Maps Functions.; // 04 — Structure Relations.; // 05 — Combinatorics The art of counting.; // 06 — Permutation & combination Order matters, sometimes.; // 07 — Encoding sequences Generating functions.; // 08 — Self-reference Recurrence relations.; // 09 — Networks Graph theory..

## Slide Outline

1. Discrete math.
2. // 01 — Opening What discrete math is.
3. // 02 — Foundation Sets.
4. // 03 — Maps Functions.
5. // 04 — Structure Relations.
6. // 05 — Combinatorics The art of counting.
7. // 06 — Permutation & combination Order matters, sometimes.
8. // 07 — Encoding sequences Generating functions.
9. // 08 — Self-reference Recurrence relations.
10. // 09 — Networks Graph theory.
11. // 10 — Founding problem Eulerian paths.
12. // 11 — Procedures on graphs Graph algorithms.
13. // 12 — Acyclic graphs Trees.
14. // 13 — On the page Planar graphs.
15. // 14 — A controversy The four-color theorem.
16. // 15 — Number theory Modular arithmetic.
17. // 16 — Chance on finite spaces Discrete probability.
18. // 17 — Combinatorial games Two-player perfect-information.
19. // 18 — Algebra of {0, 1} Boolean algebra.
20. // 19 — Hardware Logic gates.
21. // 20 — Procedures Algorithm design.
22. // 21 — Asymptotic analysis Big-O notation.
23. // 22 — Order n elements Sorting algorithms.
24. // 23 — Discrete secrets Cryptography preview.
25. // 24 — Detecting errors Coding theory.
26. // 25 — A specific code Hamming codes.
27. // 26 — Discrete & combinatorial Discrete optimisation.
28. // 27 — Convex relaxation Linear programming.
29. // 28 — Library Reading list.
30. // 29 — Watch Watch & read.
31. // 30 — Constants The constants.
32. The end of the deck.

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