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Number Theory

"Mathematics is the queen of the sciences," Gauss wrote, "and number theory is the queen of mathematics." The compliment was not idle. Gauss devoted his...

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"Mathematics is the queen of the sciences," Gauss wrote, "and number theory is the queen of mathematics." The compliment was not idle. Gauss devoted his greatest energies to it. Key sections include: Number theory.; Opening The queen of mathematics.; Chapter I Euclid on primes.; Chapter II Diophantine equations.; Chapter III Fermat's little theorem.; Chapter IV 1637 conjecture, 1995 proof.; Chapter V Andrew Wiles.; Chapter VI Goldbach's conjecture.; Chapter VII The twin prime conjecture.; Chapter VIII Mersenne primes..

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Slide outline
  1. 01Number theory.
  2. 02Opening The queen of mathematics.
  3. 03Chapter I Euclid on primes.
  4. 04Chapter II Diophantine equations.
  5. 05Chapter III Fermat's little theorem.
  6. 06Chapter IV 1637 conjecture, 1995 proof.
  7. 07Chapter V Andrew Wiles.
  8. 08Chapter VI Goldbach's conjecture.
  9. 09Chapter VII The twin prime conjecture.
  10. 10Chapter VIII Mersenne primes.
  11. 11Chapter IX Perfect numbers.
  12. 12Chapter X The Riemann hypothesis.
  13. 13Chapter XI The zeta function.
  14. 14Chapter XII The prime number theorem.
  15. 15Chapter XIII Hardy and Ramanujan.
  16. 16Chapter XIV Ramanujan's notebooks.
  17. 17Chapter XV Modular forms.
  18. 18Chapter XVI Elliptic curves.
  19. 19Chapter XVII The modularity theorem.
  20. 20Chapter XVIII Birch and Swinnerton-Dyer.
  21. 21Chapter XIX Algebraic number theory.
  22. 22Chapter XX Class field theory.
  23. 23Chapter XXI L-functions.
  24. 24Chapter XXII Cryptography.
  25. 25Chapter XXIII The quantum threat.
  26. 26Chapter XXIV The Langlands program.
  27. 27Chapter XXV Viazovska, 2016.
  28. 28Chapter XXVI Twenty essentials.
  29. 29Chapter XXVII Watch & read.
  30. 30Chapter XXVIII Where to begin.
  31. 31The end of the deck.
Page data
Canonical
https://shipslides.com/d/mathematics-number-theory
Category
Mathematics
Size
363.2 KB
Updated
2026-05-15
LLM text
https://shipslides.com/d/mathematics-number-theory/llms.txt
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