List of theorems

Here, as much for my convenience as anyone else’s, is a list of the theorems that have appeared here, with links.

  1. Bézout’s theorem
  2. The intermediate value theorem
  3. Vinogradov’s three primes theorem
  4. Van der Waerden’s theorem
  5. The square root of 2 is irrational
  6. The binomial theorem
  7. The Banach-Tarski paradox
  8. Eulerian circuits
  9. Bachet’s duplication formula
  10. Lagrange’s theorem in group theory
  11. The pigeonhole principle
  12. There are infinitely many primes
  13. The fundamental theorem of arithmetic
  14. Fermat’s little theorem
  15. Lagrange’s theorem about sums of four squares
  16. The inclusion-exclusion principle
  17. Dirichlet’s theorem
  18. The rational numbers are countable
  19. There is a transcendental number
  20. The Bolzano-Weierstrass theorem
  21. The real numbers are uncountable
  22. Szemerédi’s theorem
  23. Waring’s problem
  24. The Chinese remainder theorem
  25. Erdős’s lower bound for the Ramsey numbers
  26. The first isomorphism theorem
  27. Wilson’s theorem
  28. There are infinitely many Carmichael numbers
  29. The law of quadratic reciprocity
  30. Pythagorean triples
  31. The non-zero integers (mod p) form a group under multiplication
  32. The angle at the centre is twice the angle at the circumference
  33. The size of Gauss sums
  34. Hall’s marriage theorem
  35. The best rational approximations come from continued fractions
  36. The Cantor set is an uncountable set with zero measure
  37. Sperner’s lemma
  38. There is a primitive root modulo a prime
  39. Euler’s criterion
  40. Sperner’s lemma about coloured triangles
  41. Gauss’s lemma
  42. Fermat’s Last Theorem
  43. The Steinitz Exchange Lemma

6 Responses to “List of theorems”

  1. R Kelly Says:

    Interesting

  2. mrstoke Says:

    Great works!

  3. শিখর রায় Says:

    Nice…!!!! 🙂

  4. Paras Mani Says:

    Thanks for vital post for math lover.

  5. Paras Mani Says:

    Thanks for posting vital theorem
    -math lover

  6. rajeshd007 Says:

    https://fourierkingdom.wordpress.com/

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