Math, shelf by shelf

Each shelf holds a set of courses. A course goes chapter by chapter: what each idea means, why the theorems are true, worked examples, the usual mistakes, and practice questions with their answers.

The math also reaches Mars: the path from Earth to Mars in the picture above is half an ellipse round the Sun, and its 259 days come from Kepler's third law, which Newton explained with calculus.

Shelves

Shelf	What is on it
U of T	The University of Toronto's mathematics and statistics courses: calculus with proofs, analysis, linear algebra, with physics and computer science beside them
Topics	Math by topic, from a first puzzle to the end of high school: each topic climbs in five steps, Play, Explore, Build, Master and Beyond