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Discrete Mathematics

The mathematics of objects you can count.

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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..

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Slide outline
  1. 01Discrete math.
  2. 02// 01 — Opening What discrete math is.
  3. 03// 02 — Foundation Sets.
  4. 04// 03 — Maps Functions.
  5. 05// 04 — Structure Relations.
  6. 06// 05 — Combinatorics The art of counting.
  7. 07// 06 — Permutation & combination Order matters, sometimes.
  8. 08// 07 — Encoding sequences Generating functions.
  9. 09// 08 — Self-reference Recurrence relations.
  10. 10// 09 — Networks Graph theory.
  11. 11// 10 — Founding problem Eulerian paths.
  12. 12// 11 — Procedures on graphs Graph algorithms.
  13. 13// 12 — Acyclic graphs Trees.
  14. 14// 13 — On the page Planar graphs.
  15. 15// 14 — A controversy The four-color theorem.
  16. 16// 15 — Number theory Modular arithmetic.
  17. 17// 16 — Chance on finite spaces Discrete probability.
  18. 18// 17 — Combinatorial games Two-player perfect-information.
  19. 19// 18 — Algebra of {0, 1} Boolean algebra.
  20. 20// 19 — Hardware Logic gates.
  21. 21// 20 — Procedures Algorithm design.
  22. 22// 21 — Asymptotic analysis Big-O notation.
  23. 23// 22 — Order n elements Sorting algorithms.
  24. 24// 23 — Discrete secrets Cryptography preview.
  25. 25// 24 — Detecting errors Coding theory.
  26. 26// 25 — A specific code Hamming codes.
  27. 27// 26 — Discrete & combinatorial Discrete optimisation.
  28. 28// 27 — Convex relaxation Linear programming.
  29. 29// 28 — Library Reading list.
  30. 30// 29 — Watch Watch & read.
  31. 31// 30 — Constants The constants.
  32. 32The end of the deck.
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Canonical
https://shipslides.com/d/mathematics-discrete-math
Category
Mathematics
Size
327.1 KB
Updated
2026-05-15
LLM text
https://shipslides.com/d/mathematics-discrete-math/llms.txt
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