YoVDO

Number Theory

Offered By: YouTube

Tags

Number Theory Courses Diophantine Equations Courses Euclidean Algorithm Courses

Course Description

Overview

Explore fundamental concepts in number theory through a 30-minute lecture covering perfect numbers, Mersenne primes, abundant numbers, and deficient numbers. Delve into Wilson's Theorem, the Euclidean Algorithm, Fermat's Little Theorem, and Diophantine equations. Gain insights into the Prime Number Theorem and learn about polynomials with one unknown in the context of Diophantine equations. Enhance your understanding of these essential mathematical principles and their applications in number theory.

Syllabus

Perfect Numbers, Mersenne Primes, Abundant Numbers & Deficient Numbers || NUMBER THEORY.
Number Theory: Wilson's Theorem.
Number Theory: Euclidean Algorithm - An example.
Number Theory: Fermat's Little Theorem.
Number Theory: Diophantine Equation: ax+by=gcd(a,b).
Number Theory: The Prime Number Theorem, an introduction.
Diophantine Equations: Polynomials With 1 Unknown || Number Theory.


Taught by

Socratica

Related Courses

Number Theory and Cryptography
University of California, San Diego via Coursera
A Basic Course in Number Theory
Indian Institute of Technology Bombay via Swayam
Master Number Theory 2020: The Secrets Of Numbers
Udemy
Introduction to Number Theory
Higher School of Economics via Coursera
The Geometric Disposition of Diophantine Equations
Joint Mathematics Meetings via YouTube