Number Theory Full Course - A to Z

Number Theory Full Course - A to Z

Academic Lesson via YouTube Direct link

) Gauss circle problem

35 of 37

35 of 37

) Gauss circle problem

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Classroom Contents

Number Theory Full Course - A to Z

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  1. 1 ) Introduction to number theory
  2. 2 ) The principle of mathematical induction
  3. 3 ) Basic representation theorem
  4. 4 ) The division algorithm
  5. 5 ) The divisibility
  6. 6 ) The euclidean algorithm
  7. 7 ) Linear Diophantine Equations
  8. 8 ) The fundamental theorem of arithemetic
  9. 9 ) Permutations and combinations
  10. 10 ) Fermat's Little theorem
  11. 11 ) Wilson's Theorem
  12. 12 ) Computer Programming
  13. 13 ) Basic properties of congruences
  14. 14 ) Residue Systems
  15. 15 ) Linear Congruences
  16. 16 ) Fermat's little theorem and wilson's theorem
  17. 17 ) The Chinese remainder theorem
  18. 18 ) The Eular Phi Function Part 1
  19. 19 ) The Eular Phi Function Part 2
  20. 20 ) Multiplicative function
  21. 21 ) The mobious inversion formula
  22. 22 ) Order of Elements
  23. 23 ) Primitive roots modolo
  24. 24 ) The prime counting function
  25. 25 ) The Eular's criterion
  26. 26 ) The Legendre symbol
  27. 27 ) Quadratic Reciprocity part 1
  28. 28 ) Quadratic Reciprocity part 2
  29. 29 ) Application of quadratic reciprocity
  30. 30 ) Consicutive Residues
  31. 31 ) Consicutive triples of Residues part 1
  32. 32 ) Consicutive triples of Residues part 2
  33. 33 ) Sums of two squares
  34. 34 ) Sums of four squares
  35. 35 ) Gauss circle problem
  36. 36 ) Dirichlet's devisor problem
  37. 37 ) Infinity Conclusion

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