# History of Mathematics
Confidence: high
Last verified: 2026-05-22
Generation: ai_assisted


## TL;DR

Mathematics evolved from practical counting/measurement to abstract reasoning. Milestones: Babylonian base-60 (still in our time/angles), Greek geometry + proof (Euclid, Pythagoras), Indian-Arabic numeral system (including zero, ~7th century), calculus (Newton/Leibniz, 17th century), non-Euclidean geometry (19th), set theory (Cantor), computers.

## Core Explanation

Euclid's Elements (~300 BCE): most influential math textbook ever — deductive system from axioms. Zero: independently invented by Maya and Indians; reached Europe via Fibonacci (1202). Calculus: Newton (fluxions, physics) + Leibniz (differential notation — still used). Non-Euclidean: Riemann, Lobachevsky — geometry where parallel lines can meet. Gödel's Incompleteness Theorems (1931): any consistent formal system contains unprovable truths.

## Further Reading

- [A History of Mathematics (Carl B. Boyer, Uta Merzbach, 3rd Ed)](https://www.wiley.com/en-us/A+History+of+Mathematics%2C+3rd+Edition-p-9780470525487)