mathematics

Mathematics

The parts of mathematics that are usually taught as rules to memorise, rebuilt from the pictures they came from, with every value computed rather than stored.

• Functions

  One input, one output, every time. What a function is, how a graph records one, and the two families that grow and shrink unlike anything else.

  3 topics

• Trigonometry

  Six functions, one right triangle, and one circle. Sine, cosine, tangent, secant, cosecant and cotangent are all lengths you can point at, and Pythagoras' theorem is what ties them together.

  9 topics

• Calculus

  What happens to a quotient when the top and the bottom of it both go to zero. One page so far, and it is the one the rest of the subject is defined in terms of.

  1 topic