Every concept explained at three levels — from curious beginner to deep expert. Mathematics from every civilisation, clearly written, fully sourced.
Sets, proofs, axioms, infinity — the bedrock of all mathematics.
Primes, integers, zero — the study of numbers themselves.
Groups, rings, fields — the language of structure and symmetry.
Shapes, spaces, distances — from Euclid to curved universes.
Spaces that bend and stretch — what stays the same when shape changes?
Limits, continuity, calculus — the mathematics of change and motion.
Chance, uncertainty, data — making sense of a random world.
Graphs, combinatorics, algorithms — the mathematics of computing.
Equations that describe the real world — from waves to finance.
The deep connection between mathematical structure and physical law.
How mathematics developed across cultures — and what it all means.
The great theorems and conjectures — Fermat, Riemann, Pythagoras and more.
Āryabhaṭa, Brahmagupta, zero, infinite series — a tradition of extraordinary depth.
Puzzles, patterns, paradoxes — maths that's just fun.