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A topological proof.
With examples from general relativity.
A nice application of linear and abstract algebra.
An explanation that doesn’t require a semester’s worth of abstract algebra.
Generalizing the integer square root algorithm.
As cited in Physically Based Rendering, Third Edition.
A proof of correctness and a run-time bound.
That is, using a constant number of word operations.
Implementing the AKS algorithm.
A guide to understanding the AKS primality test.
With a detailed explanation of the Fermat and Miller-Rabin primality tests.
One for Green's theorem and the other for Fubini's theorem.
Proper tail recursion's kissing cousin.
Expressed as exercises for a calculus class.
With example code.
Embed Brainfuck in C++.
With a reference Python implementation.
How to solve Pell's equation.