01—03ℕ
Meet the building blocks
Statements, number systems & the language of mathematics.
Chapter reading room
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CHAPTER 01 · MATHEMATICAL REASONING
From “I think”
to “I can prove.”
Big mathematical ideas. Small, satisfying steps.
Build your intuition, test a hunch, and learn to make
an argument that really holds up.
THE ART OF MAKING SENSE
CURIOSITY → REASONING → CONFIDENCE FIG. 01
A little progress, every day.Your first proof starts with a single step.
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THE BIG PICTURE
Your path to a proof.
Three chapters within the chapter. Follow the path, or revisit any stop.
04—06⇒
Think like a mathematician
Turn assumptions into arguments. Find what makes them work.
07—12∞
Make the leap to infinity
Recursion, induction & the power of one more step.
30–60 min / first session · challenges can take longer