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Mathematics

"The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it..." — Henri Poincaré, 1908

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"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..

sciencemathematics

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Slide outline
  1. 01Mathematics An essay in nine chapters
  2. 02The hierarchy of numbers natural · integer · rational · real · complex
  3. 03Euclid's Elements and the geometries that followed
  4. 04The infinitesimal, tamed . Newton, Leibniz, Cauchy, Weierstrass
  5. 05Solving the unsolvable . From al-Khwārizmī to Galois
  6. 06The trouble with everything . Cantor, Russell, Gödel
  7. 07Rubber-sheet geometry . Continuity without distance
  8. 08A small, eccentric guild.
  9. 09Five beautiful equations.
  10. 10A skeletal timeline.
  11. 11The Millennium problems. and a few other ghosts
  12. 12Where the field is moving.
  13. 13Watch & read.
  14. 14Q.E.D.
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2026-05-16
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