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