Number Theory for Beginners - Full Course скачать в хорошем качестве

Number Theory for Beginners - Full Course

Learn about Number theory (or arithmetic or higher arithmetic in older usage) in this full course for beginners. Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. Number Theory for Competitive Programming Using Python ☞ https://morioh.com/p/523ff1c80329 What is Big O Notation Explained | Data Structures & Algorithms ☞ https://morioh.com/p/4d9cd9798a02 Introduction to Calculus Concepts | Understand Calculus in 10 Minutes ☞ https://morioh.com/p/436d39e316c4 Learn about Number theory (or arithmetic or higher arithmetic in older usage) in this full course for beginners. Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). In this number theroy course following topics hav 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 #NumberTheory #Developer #Morioh PUBLICATION PERMISSIONS: Original video was published with the Creative Commons Attribution license (reuse allowed). Link:    / @themathrepository   Note: If you have any copyright issue with the content used in our channel or you find something that belongs to you, before you claim it to Youtube, SEND US A MESSAGE and the respective content will be DELETED right away. Thanks for understanding. ◼️◼️◼️◼️◼️◼️◼️◼️◼️◼️◼️◼️◼️◼️ 👕 Merchandise: https://www.moteefe.com/store/developer?cp... 🌎 Social Network for Developers: https://morioh.com/ 📱 Twitter: https://twitter.com/moriohdotcom