Mathematics, taken apart carefully.
A hard idea usually has a simple shape underneath it. These are problems worth sitting with — written so that a school student can follow every step, and an engineer can enjoy watching a complicated thing turn out to be intuitive.
Foundations Nothing but curiosity and a pencil
Geometry Shape, distance, arguments you can see
Probability Where randomness hides a simple answer
Linear Algebra Vectors, transformations, moving grids
Information Theory Entropy and the limits of what can be said
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