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Number Theory — The Queen of Mathematics

2 3 “Mathematics is the queen of the sciences, and number theory is the queen of mathematics.” — C. F. Gauss ❦ ❦ Chapter I The Integers §1. The playing...

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2 3 “Mathematics is the queen of the sciences, and number theory is the queen of mathematics.” — C. F. Gauss ❦ ❦ Chapter I The Integers §1. The playing field The Integers The integers ℤ = { … , −3, −2, −1, 0, 1, 2, 3, … } form the bedrock of arithmetic — discrete, unbounded, equipped with addition and multiplication. Key sections include: Number Theory; The Integers; The Primes are Infinite; Every Integer is Prime, Uniquely; How to Catch a Prime; The Prime Number Theorem; Modular Arithmetic; Fermat's Little Theorem; Diophantine Equations; Fermat's Last Theorem.

catalogmathnumbertheory
Slide outline
  1. 01Number Theory
  2. 02The Integers
  3. 03The Primes are Infinite
  4. 04Every Integer is Prime, Uniquely
  5. 05How to Catch a Prime
  6. 06The Prime Number Theorem
  7. 07Modular Arithmetic
  8. 08Fermat's Little Theorem
  9. 09Diophantine Equations
  10. 10Fermat's Last Theorem
  11. 11Cryptography & Beyond
  12. 12What We Do Not Know
  13. 13Further Reading
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https://shipslides.com/d/catalog-math-number-theory
Category
Mathematics
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36.0 KB
Updated
2026-05-15
LLM text
https://shipslides.com/d/catalog-math-number-theory/llms.txt
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