In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field in which division, except by zero, is always possible. (Wikipedia).
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
Dividing by a number is the same thing as multiplying by a reciprocal. This concept is particularly applicable when dividing by a fraction. Several examples are worked out and explained. From chapter 2 of the Algebra 1 course by Derek Owens
From playlist Algebra 1 Chapter 2 (Selected Videos)
Algebra for Kids - Equations with multiplication and division (intro 2/2)
This series of videos is an introduction to Algebra, with 3rd and 4th graders in mind, and all other math enthusiasts! In this video, we continue working with equations with multiplication and division. Here, we learn how to divide both sides of an equation by the same number. This is part
From playlist Algebra for Kids
Units in a Ring (Abstract Algebra)
The units in a ring are those elements which have an inverse under multiplication. They form a group, and this “group of units” is very important in algebraic number theory. Using units you can also define the idea of an “associate” which lets you generalize the fundamental theorem of ar
From playlist Abstract Algebra
Galois theory: Wedderburn's theorem
This lecture is part of an online graduate course on Galois theory. We prove Wedderburn's theorem that all finite division algebras are fields. The proof uses cyclotomic polynomials.
From playlist Galois theory
Donald Cartwright : Construction of lattices defining fake projective planes - lecture 2
Recording during the meeting "Ball Quotient Surfaces and Lattices " the February 25, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Algebraic and Complex Geometry
SYNTHETIC DIVISION – Algebra 2 /College Algebra/Pre-Calculus
TabletClass Math: https://tcmathacademy.com/ Algebra 2 help with synthetic division and the remainder theorem. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebr
From playlist GED Prep Videos
Common divisibility examples | Factors and multiples | Pre-Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/pre-algebra/pre-algebra-factors-multiples/pre-algebra-prime-factorization-prealg/v/common-divisibility-examples Common Divisibility Examples Practice this lesson
From playlist Factors and multiples | Pre-Algebra | Khan Academy
Emmy Noether: breathtaking mathematics - Georgia Benkart
Celebrating Emmy Noether Topic: Emmy Noether: breathtaking mathematics Speaker: Georgia Benkart Affiliation: University of Wisconsin-Madison Date: Friday, May 6 By the mid 1920s, Emmy Noether had made fundamental contributions to commutative algebra and to the theory of invariants.
From playlist Celebrating Emmy Noether
Recognizing divisibility | Factors and multiples | Pre-Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/in-in-class-6th-math-cbse/x06b5af6950647cd2:playing-with-numbers/x06b5af6950647cd2:tests-for-divisibility/v/recognizing-divisibility Recognizing Divisibility Prac
From playlist Factors and multiples | Pre-Algebra | Khan Academy
Divisibility tests for 2, 3, 4, 5, 6, 9, 10 | Factors and multiples | Pre-Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/in-in-class-6th-math-cbse/x06b5af6950647cd2:playing-with-numbers/x06b5af6950647cd2:tests-for-divisibility/v/divisibility-tests-for-2-3-4-5-6-9-10 Worked example o
From playlist Factors and multiples | Pre-Algebra | Khan Academy
Polynomial LONG DIVISION – To PASS Algebra You Need To Understand…
TabletClass Math: https://tcmathacademy.com/ Algebra help with polynomial division and synthetic division. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra
From playlist GED Prep Videos
On the notion of genus for division algebras and algebraic groups - Andrei Rapinchu
Joint IAS/Princeton University Number Theory Seminar Topic: On the notion of genus for division algebras and algebraic groups Speaker: Andrei Rapinchu Affiliation: University of Virginia Date: November 2, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
The why of the 3 divisibility rule | Factors and multiples | Pre-Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/in-in-class-6th-math-cbse/x06b5af6950647cd2:playing-with-numbers/x06b5af6950647cd2:tests-for-divisibility/v/the-why-of-the-3-divisibility-rule Why you can add the
From playlist Factors and multiples | Pre-Algebra | Khan Academy