A group is a set together with an associative operation which admits an identity element and such that every element has an inverse. Throughout the article, we use to denote the identity element of a group. (Wikipedia).
This is lecture 1 of an online mathematics course on group theory. This lecture defines groups and gives a few examples of them.
From playlist Group theory
This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)
From playlist Summer of Math Exposition Youtube Videos
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
Bad Math Glossary, or Soviet Propaganda?
A review of "The Algebra Tutor, Algebra 1 and Algebra 2, Volume 1". A textbook/workbook by Willie L. Thomas. It has a great propaganda-esque cover design, and a very finicky glossary to put it nicely. #mathbook #math 00:00 Rest of the Review 19:33 The Bad Glossary 23:00 End Buy a copy o
From playlist The Math Library
This lecture is part of an online math course on group theory. We review free abelian groups, then construct free (non-abelian) groups, and show that they are given by the set of reduced words, and as a bonus find that they are residually finite.
From playlist Group theory
Representations of finite groups of Lie type (Lecture 1) by Dipendra Prasad
PROGRAM : GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fun
From playlist Group Algebras, Representations And Computation
What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups. In a fundamental way, groups are structures built from s
From playlist Abstract Algebra
An Introduction To Group Theory
I hope you enjoyed this brief introduction to group theory and abstract algebra. If you'd like to learn more about undergraduate maths and physics make sure to subscribe!
From playlist All Videos
Group theory 32: Subgroups of free groups
This lecture is part of an online mathematics course on group theory. We describe subgroups of free groups, show that they are free, calculate the number of generators, and give two examples.
From playlist Group theory
OWASP AppSec USA 2010: OWASP Secure Coding Practices Quick Reference Guide 1/2
Speaker: Keith Turpin, Boeing More information can be found on the OWASP website: http://bit.ly/hY4bqh Source: http://bit.ly/owasp_appsec_us_2010
From playlist OWASP AppSec USA 2010
Chapter 5: Quotient groups | Essence of Group Theory
Quotient groups is a very important concept in group theory, because it has paramount importance in group homomorphisms (connection with the isomorphism theorem(s)). With this video series, abstract algebra needs not be abstract - one can easily develop intuitions for group theory! In fac
From playlist Essence of Group Theory
Jacob explains the fundamental concepts in group theory of what groups and subgroups are, and highlights a few examples of groups you may already know. Abelian groups are named in honor of Niels Henrik Abel (https://en.wikipedia.org/wiki/Niels_Henrik_Abel), who pioneered the subject of
From playlist Basics: Group Theory
Building Beautiful Systems with Phoenix Contexts and DDD
Phoenix contexts are a powerful code organization tool - but without a clear idea of what business domains live under the hood of your systems, naively creating contexts leads to over-engineered, fragile systems. Today, we’ll learn about the philosophical roots of Bounded Contexts from the
From playlist Functional Programming
O'Reilly Webcast: Stylish Structure- XML Publishing with Adobe InDesign
*Note: Audio quality not very clear Traditional XML publishing uses XSLT to make web pages and XSL-FO to make printable PDFs from XML sources. Book and magazine publishers are frustrated by the limited styling and "untweakable" output of the PDF process. Adobe InDesign offers a more flexi
From playlist O'Reilly Webcasts 2
Getting started in Flickr - Technical glossary
What do you think of this resource? Please click http://svy.mk/e6BP1G to complete a quick survey. This Technical Glossary video explains how the website http://flickr.com works, and how to create an account, upload, tag and share images online. It also demonstrates the process of creati
From playlist Learning to Teach Online
O'Reilly Webcast: Cyborg Anthropology: A Short Introduction
Cyborg Anthropology is a way of understanding how we live as technosocially connected citizens in the modern era. Our cell phones, cars and laptops have turned us into cyborgs. What does it mean to extend the body into hyperspace? What are the implications to privacy, information and the f
From playlist O'Reilly Webcasts
In this clip I casually give a roundup of some of my current interests and also recommend you some literature. Get into Lie algebras, Lie groups and algebraic groups. Do it now! https://en.wikipedia.org/wiki/Lie_algebra http://www.jmilne.org/math/index.html
From playlist Algebra
ElixirDaze 2018 - Building beautiful systems with Phoenix contexts... by Andrew Hao
ElixirDaze 2018 - Building beautiful systems with Phoenix contexts and Domain-Driven Design by Andrew Hao
From playlist ElixirDaze 2018
Group theory 2: Cayley's theorem
This is lecture 2 of an online mathematics course on group theory. It describes Cayley's theorem that every abstract group is the group of symmetries of something, and as examples shows the Cayley graphs of the Klein 4-group and the symmetric group on 3 points.
From playlist Group theory