## 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.

- Bézout’s theorem
- The intermediate value theorem
- Vinogradov’s three primes theorem
- Van der Waerden’s theorem
- The square root of 2 is irrational
- The binomial theorem
- The Banach-Tarski paradox
- Eulerian circuits
- Bachet’s duplication formula
- Lagrange’s theorem in group theory
- The pigeonhole principle
- There are infinitely many primes
- The fundamental theorem of arithmetic
- Fermat’s little theorem
- Lagrange’s theorem about sums of four squares
- The inclusion-exclusion principle
- Dirichlet’s theorem
- The rational numbers are countable
- There is a transcendental number
- The Bolzano-Weierstrass theorem
- The real numbers are uncountable
- Szemerédi’s theorem
- Waring’s problem
- The Chinese remainder theorem
- Erdős’s lower bound for the Ramsey numbers
- The first isomorphism theorem
- Wilson’s theorem
- There are infinitely many Carmichael numbers
- The law of quadratic reciprocity
- Pythagorean triples
- The non-zero integers (mod p) form a group under multiplication
- The angle at the centre is twice the angle at the circumference
- The size of Gauss sums
- Hall’s marriage theorem
- The best rational approximations come from continued fractions
- The Cantor set is an uncountable set with zero measure
- Sperner’s lemma
- There is a primitive root modulo a prime
- Euler’s criterion
- Sperner’s lemma about coloured triangles
- Gauss’s lemma
- Fermat’s Last Theorem
- The Steinitz Exchange Lemma

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September 6, 2010 at 6:40 pm

Interesting

March 7, 2012 at 7:17 am

Great works!

March 1, 2014 at 5:22 am

Nice…!!!! 🙂

August 9, 2015 at 2:48 pm

Thanks for vital post for math lover.

August 9, 2015 at 2:49 pm

Thanks for posting vital theorem

-math lover

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