Number theory Full Course A to Z
Channel: Tutorialistic
Date: 2022-05-07

In this #numbertheroy course following topics have been explained in a very comprehensive way. 

⭐️ Table of Content ⭐️ 
⌨️ (00:00)   Introduction to number theory
⌨️ (02:07)   The principle of mathematical induction
⌨️ (06:04)   Basic representation theorem
⌨️ (10:14)   The division algorithm
⌨️ (13:49)   The divisibility
⌨️ (17:31)   The euclidean algorithm
⌨️ (22:48)   Linear Diophantine Equations
⌨️ (26:03)   The fundamental theorem of arithemetic
⌨️ (30:38)   Permutations and combinations
⌨️ (36:10)   Fermat's Little theorem
⌨️ (38:51)   Wilson's Theorem
⌨️ (42:42)   Computer Programming
⌨️ (49:18)   Basic properties of congruences
⌨️ (52:51)   Residue Systems
⌨️ (58:12)   Linear Congruences
⌨️ (1:01:54) Fermat's little theorem and wilson's theorem 
⌨️ (1:06:31) The Chinese remainder theorem
⌨️ (1:10:50) The Eular Phi Function Part 1
⌨️ (1:14:34) The Eular Phi Function Part 2
⌨️ (1:19:12) Multiplicative function
⌨️ (1:23:51) The mobious inversion formula 
⌨️ (1:28:08) Order of Elements
⌨️ (1:33:49) Primitive roots modolo
⌨️ (1:37:03) The prime counting function
⌨️ (1:41:39) The Eular's criterion
⌨️ (1:45:44) The Legendre symbol
⌨️ (1:48:42) Quadratic Reciprocity part 1
⌨️ (1:53:17) Quadratic Reciprocity part 2
⌨️ (1:59:33) Application of quadratic reciprocity 
⌨️ (2:02:13) Consicutive Residues
⌨️ (2:06:54) Consicutive triples of Residues part 1
⌨️ (2:09:03) Consicutive triples of Residues part 2
⌨️ (2:13:40) Sums of two squares
⌨️ (2:16:02) Sums of four squares
⌨️ (2:22:16) Gauss circle problem
⌨️ (2:25:38) Dirichlet's devisor problem
⌨️ (2:29:55) Infinity Conclusion


⭐️ Credit ⭐️
Author of this Course: Aaron Wong, Nevada State College
Visit The Math Repository: https://www.youtube.com/channel/UCBvO3V-CAyAaoQP3Ekd9ZDA

License: Creative Commons Attribution license (reuse allowed)

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