# Mathematics

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Category: Science
Slides: 15
Updated: 2026-05-15T22:19:22.171Z
Tags: science, mathematics

## Summary

"The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it..." — Henri Poincaré, 1908 Key sections include: Mathematics An essay in nine chapters; The hierarchy of numbers natural · integer · rational · real · complex; Euclid's Elements and the geometries that followed; The infinitesimal, tamed . Newton, Leibniz, Cauchy, Weierstrass; Solving the unsolvable . From al-Khwārizmī to Galois; The trouble with everything . Cantor, Russell, Gödel; Rubber-sheet geometry . Continuity without distance; A small, eccentric guild.; Five beautiful equations.; A skeletal timeline..

## Slide Outline

1. Mathematics An essay in nine chapters
2. The hierarchy of numbers natural · integer · rational · real · complex
3. Euclid's Elements and the geometries that followed
4. The infinitesimal, tamed . Newton, Leibniz, Cauchy, Weierstrass
5. Solving the unsolvable . From al-Khwārizmī to Galois
6. The trouble with everything . Cantor, Russell, Gödel
7. Rubber-sheet geometry . Continuity without distance
8. A small, eccentric guild.
9. Five beautiful equations.
10. A skeletal timeline.
11. The Millennium problems. and a few other ghosts
12. Where the field is moving.
13. Watch & read.
14. Q.E.D.

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