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
What is Abstract Algebra? (Modern Algebra)
Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t
From playlist Abstract Algebra
Functions, operators, and linearity: the language of abstract math (#SoME1)
Mathematicians and physicists often use abstract notation and terminology to reason about and describe problems at a level above the explicit details of the problem, but often take for granted that everyone already understands what they're doing and why. This video gives a short explanati
From playlist Summer of Math Exposition Youtube Videos
16 You have made it to the first exciting video Operations
To be honest, the topics have been very dry up to now. Here is the first bit of excitement. Operations. Understanding operations is a fundamental priority in abstract algebra.
From playlist Abstract algebra
Homomorphisms in abstract algebra
In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu
From playlist Abstract algebra
Video series introducing abstract algebra. As promised, here's a link to one of my favorite channels: https://www.youtube.com/playlist?list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
From playlist Abstract algebra
Abstract Algebra: The definition of a Field
Learn the definition of a Field, one of the central objects in abstract algebra. We give several familiar examples and a more unusual example. ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www
From playlist Abstract Algebra
10 Relations (still with the not-so-exciting-stuff)
This video introduces relations between pairs of elements.
From playlist Abstract algebra
Algebraic torus actions on Fukaya categories - Yusuf Barış Kartal
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Algebraic torus actions on Fukaya categories and tameness of change in Floer homology under symplectic isotopies Speaker: Yusuf Barış Kartal Affiliation: Princeton University Date: February 05, 2021 For more video pl
From playlist Mathematics
Equivalence relations -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Representation Theory & Categorification - Catharina Stroppel
2021 Women and Mathematics - Uhlenbeck Course Lecture Topic: Representation Theory & Categorification Speaker: Catharina Stroppel Affiliation: University of Bonn Date: May 24, 2021 For more video please visit https://www.ias.edu/video
From playlist Mathematics
04 - More properties of fields
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Twisted Patterson-Sullivan Measure and Applications to Growth Problems (Lecture-2) by Remi Coulon
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will
From playlist Probabilistic Methods in Negative Curvature (Online)
RustConf 2017 - A Tale of Teaching Rust by Andrew Brinker
A Tale of Teaching Rust by Andrew Brinker Rust has a reputation of having a very steep learning curve, but is this reputation justified? In this talk I share my experiences teaching Rust to a group of 26 undergraduates as part of a class on programming language theory. None of the student
From playlist RustConf 2017
RustConf 2017 - A Tale of Teaching Rust by Andrew Brinker
A Tale of Teaching Rust by Andrew Brinker Rust has a reputation of having a very steep learning curve, but is this reputation justified? In this talk I share my experiences teaching Rust to a group of 26 undergraduates as part of a class on programming language theory. None of the studen
From playlist RustConf 2017
Karl Marx’s Monetary Theory of Value
Michael Heinrich is a former collaborator of Marx-Engels-Gesamtausgabe (MEGA) and was, until 2016, Professor of Economics at HTW Berlin. He is the author of An Introduction to the Three Volumes of Karl Marx's “Capital” (2012) and Karl Marx and the Birth of Modern Society (2019).
From playlist Whitney Humanities Center
Gwyn Bellamy: Graded algebras admitting a triangular decomposition
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: The goal of this talk is to describe the representation theory of finite dimensional graded algebras A admitting a triangular decomposition (in much the s
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Oct. 8, Chapter 9 (Tensor Products)
From playlist Fall 2020 Course
Lecture 2. Homomorphisms and ideals
From playlist Abstract Algebra 2