Disquisitiones Arithmeticae

Linear Diophantine Equations

From playlist L. Number Theory

Introduction to Number Theory, Part 1: Divisibility

The first video in a series about elementary number theory, following the book by Underwood Dudley. We define the basic concept of divisibility, and prove a fundamental lemma. Intro:(0:00) Definition of Divisibility:(6:40) Our First Theorem:(9:00)

From playlist Introduction to Number Theory

Intro to Number Theory and The Divisibility Relation

This video introduces the divisibility relation and provided several examples. mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

Introduction to Solving Linear Diophantine Equations Using Congruence

This video defines a linear Diophantine equation and explains how to solve a linear Diophantine equation using congruence. mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra

Normal subgroups are a powerful tool for creating factor groups (also called quotient groups). In this video we introduce the concept of a coset, talk about which subgroups are “normal” subgroups, and show when the collection of cosets can be treated as a group of their own. As a motivat

From playlist Abstract Algebra

Number Theory | Linear Diophantine Equations

We explore the solvability of the linear Diophantine equation ax+by=c

From playlist Divisibility and the Euclidean Algorithm

Dihedral group example

In this veideo we continue our look in to the dihedral groups, specifically, the dihedral group with six elements. We note that two of the permutation in the group are special in that they commute with all the other elements in the group. In the next video I'll show you that these two el

From playlist Abstract algebra

Math Major Guide | Warning: Nonstandard advice.

A guide for how to navigate the math major and how to learn the main subjects. Recommendations for courses and books. Comment below to tell me what you think. And check out my channel for conversation videos with guests on math and other topics: https://www.youtube.com/channel/UCYLOc-m8Wu

From playlist Math

Divisibility, Prime Numbers, and Prime Factorization

Now that we understand division, we can talk about divisibility. A number is divisible by another if their quotient is a whole number. The smaller number is a factor of the larger one, but are there numbers with no factors at all? There's some pretty surprising stuff in this one! Watch th

From playlist Mathematics (All Of It)

Solve Diophantine Equation by Factoring

#shorts #mathonshorts

From playlist Elementary Number Theory

Math in the Modern World | Math and the Rise of Civilization | Documentary series

The 20th century saw mathematics become a major profession. Every year, thousands of new Ph.D.s in mathematics were awarded, and jobs were available in both teaching and industry. An effort to catalogue the areas and applications of mathematics was undertaken in Klein's encyclopedia. In a

From playlist Civilization

The Most Difficult Math Problem You've Never Heard Of - Birch and Swinnerton-Dyer Conjecture

The Birch and Swinnerton-Dyer Conjecture is a millennium prize problem, one of the famed seven placed by the Clay Mathematical Institute in the year 2000. As the only number-theoretic problem in the list apart from the Riemann Hypothesis, the BSD Conjecture has been haunting mathematicians

From playlist Math

Fermat's Last Theorem - Numberphile

Simon Singh on Fermat's Last Theorem. Simpsons book: http://amzn.to/1fKe4Yo Fermat book: http://amzn.to/1jWqMTa More links & stuff in full description below ↓↓↓ EXTRA FOOTAGE: http://youtu.be/FXbsIbRVios FERMAT IN SIMPSONS: http://youtu.be/ReOQ300AcSU Interview with Ken Ribet, who played

From playlist Numberphile Videos

The Biggest Project in Modern Mathematics

In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most amb

From playlist Explainers

"From Diophantus to Bitcoin: Why Are Elliptic Curves Everywhere?" by Alvaro Lozano-Robledo

This talk was organized by the Number Theory Unit of the Center for Advanced Mathematical Sciences at the American University of Beirut, on November 1st, 2022. Abstract: Elliptic curves are ubiquitous in number theory, algebraic geometry, complex analysis, cryptography, physics, and beyo

From playlist Math Talks

Diophantine Equations: Polynomials With 1 Unknown ← number theory ← axioms

Learn how to solve a Diophantine Equation that's a polynomial with one variable. We'll cover the algorithm you can use to find any & all integer solutions to these types of equations. written, presented, & produced by Michael Harrison #math #maths #mathematics you can support axioms on

From playlist Number Theory

Effective height bounds for odd-degree totally real points on some curves - Levent Alpoge

Joint IAS/Princeton University Number Theory Seminar Topic: Effective height bounds for odd-degree totally real points on some curves Speaker: Levent Alpoge Affiliation: Columbia University Date: November 12, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

"From Diophantus to Bitcoin: Why Are Elliptic Curves Everywhere?" by ​​​​​Alvaro Lozano-Robledo

From playlist Number Theory Research Unit at CAMS - AUB

Divisibility Tests

From playlist L. Number Theory

Listening to the Medieval book

Dr. Erik Kwakkel and Dr. Beth Harris look at two manuscripts: 1) Boethius, De institutione arithmetica, c. 1100, The Hague), Royal Library, MS 78 E 59 and 2) Paris Bible, mid 13th century, The Hague, Royal Library, MS 132 F 21 . With special thanks to Ed van der Vlist, Curator of Medieva

From playlist Art of Medieval Europe | Art History | Khan Academy