Mathematics, rebuilt
from first principles

Leama breaks each subject into small, digestible lessons — explanation, worked examples, then quick self-checks, spaced repetition and custom drills. Watch the path fill in as concepts click into place.

The curriculum

Two tracks today. More on the way.

Every track is a dependency path — each chapter unlocks the next.

Probability & randomness 6 chapters

Against Your Better Judgment

The famous paradoxes that prove your intuition wrong — and the mathematics that puts it right.

  1. The Arithmetic of Luck
  2. The Coin Has No Memory
  3. It Depends What You Know
  4. Wrong with 99% Accuracy
  5. What's a Gamble Worth?
  6. The Shape of Randomness
System design 12 chapters

Build, Break, Rebuild

Take one little box all the way to a system that serves millions — knowing what every choice costs.

  1. The One-Box System
  2. More Boxes: Statelessness & Load Balancing
  3. The Database Bottleneck
  4. Stop Doing the Work Twice: Caching
  5. Too Much Data for One Machine
  6. Do It Later: Asynchronous Work & Queues

…and 6 more, through CAP, services and two capstones

Start with one concept.

Start learning