Category theory | Mathematical terminology

In mathematics, abstract nonsense, general abstract nonsense, generalized abstract nonsense, and general nonsense are terms used by mathematicians to describe abstract methods related to category theory and homological algebra. More generally, "abstract nonsense" may refer to a proof that relies on category-theoretic methods, or even to the study of category theory itself. (Wikipedia).

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