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
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
Michael Wibmer: Etale difference algebraic groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Elyahu Rips - Free Engel Groups and Similar Groups
Elyahu Rips (Hebrew University of Jerusalem, Israel) Abstract: This is a joint work with Arye Juhasz. The free n-Engel group is defined by the identical relation [x, y,...,y] = 1, y being repeated n times. An example of a "similar" group is the relatively free group with the identical rel
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
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
Group theory 20: Frobenius groups
This lecture is part of an online mathematics course on group theory. It gives several examples of Frobenius groups (permutation groups where any element fixing two points is the identity).
From playlist Group theory
Group Isomorphisms in Abstract Algebra
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit
From playlist Abstract Algebra
This lecture is part of an online graduate course on Lie groups. We state Engel's theorem about nilpotent Lie algebras and sketch a proof of it. We give an example of a nilpotent Lie group that is not a matrix group. For the other lectures in the course see https://www.youtube.com/play
From playlist Lie groups
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
7. The Early Cities of Capitalism
MIT 4.241J Theory of City Form, Spring 2013 View the complete course: http://ocw.mit.edu/4-241JS13 Instructor: Julian Beinart This lecture discusses changes associated with the Industrial Revolution, with a focus on London. Topics include the migration from rural to urban, the Inclosure A
From playlist MIT 4.241J Theory of City Form, Spring 2013
Torque-free motion of a prolate rigid body anime
An .mp4 versions of the animations can be found at https://thumbs.gfycat.com/WarmBlindBear-mobile.mp4 as well as at https://thumbs.gfycat.com/CostlyHardtofindDolphin-mobile.mp4
From playlist Programming
One important reason Marx thought the revolution was inevitable was that in a capitalist society the labor force was alienated. But what is alienation? Jonathan Wolff briefly explains what Marx meant by alienated labor, as well as Marx's controversial vision of what non-alienated labor mig
From playlist Social & Political Philosophy
9. Marx's Theory of Alienation
Foundations of Modern Social Thought (SOCY 151) Marx begins his intellectual life as a Young Hegelian, in the company of Bruno Bauer and others. The Young Hegelians, a radical group of scholars, intended to subject Hegel's theories to critical scrutiny. Eventually, Marx breaks with th
From playlist Foundations of Modern Social Theory with Iván Szelényi
The Value of Marx’s Capital - Das Kapital: Critique, History, Knowledge
Terrell Carver is Professor of Political Theory at the University of Bristol, UK. He has published widely on Marx and Engels, including translations, editions and commentary; also on sex, gender, sexuality and masculinity in International Relations; and on post-structuralist methodology an
From playlist Whitney Humanities Center
5. Is There a Nutrition-Based Poverty Trap?
MIT 14.73 The Challenge of World Poverty, Spring 2011 View the complete course: http://ocw.mit.edu/14-73S11 Instructor: Esther Duflo License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 14.73 The Challenge of World Poverty, Spring 2011
Marx, Winstanley,and Morris: Utopian Thinking and Practice in the Communist Manifesto
Franke Lectures in the Humanities Talk by Christopher Kendrick. "Marx, Winstanley,and Morris: Utopian Thinking and Practice in the Communist Manifesto, the Law of Freedom, and News from Nowhere" Christopher Kendrick is Professor of English at Loyola University Chicago. His lecture “Marx,
From playlist Franke Program in Science and the Humanities
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
5. Descriptive and Functional Theory
MIT 4.241J Theory of City Form, Spring 2013 View the complete course: http://ocw.mit.edu/4-241JS13 Instructor: Julian Beinart This lecture introduces theories concerning historical value, early Marxism, uniqueness, speed of change, genius loci, ecology of people, divisions, economic model
From playlist MIT 4.241J Theory of City Form, Spring 2013