Band (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

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

3.1 Relations and Functions

From playlist College Algebra

301.2 Definition of a Group

A group is (in a sense) the simplest structure in which we can do the familiar tasks associated with "algebra." First, in this video, we review the definition of a group.

From playlist Modern Algebra - Chapter 15 (groups)

Abstract Algebra: The definition of a Ring

Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th

From playlist Abstract Algebra

7E The Elementary Matrix

The elementary matrix.

From playlist Linear Algebra

11D The Norm of a Vector

The norm or length of a vector.

From playlist Linear Algebra

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

Intro to Functions

As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.

From playlist Basics: College Algebra

Polynomials, Matrices and Pascal Arrays | Algebraic Calculus One | Wild Egg

We introduce some basic orientation towards polynomials and matrices in the context of the Pascal-type arrays that figured in our analysis of the Faulhaber polynomials and Bernoulli numbers in the previous video. The key is to observe some beautiful factorizations that occur involving diag

From playlist Algebraic Calculus One from Wild Egg

A geometric model for the bounded derived category of a gentle algebra, Sibylle Schroll Lecture 2

Gentle algebras are quadratic monomial algebras whose representation theory is well understood. In recent years they have played a central role in several different subjects such as in cluster algebras where they occur as Jacobian algebras of quivers with potentials obtained from triangula

From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"

A geometric model for the bounded derived category of a gentle algebra, Sibylle Schroll, Lecture 1

Gentle algebras are quadratic monomial algebras whose representation theory is well understood. In recent years they have played a central role in several different subjects such as in cluster algebras where they occur as Jacobian algebras of quivers with potentials obtained from triangula

From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"

Rings 9 Projective modules

This lecture is part of an online course on rings and modules. We define projective modules, and give severalexamples of them, including the Moebius band, a non-principal ideal, and the tangent bundle of the sphere. For the other lectures in the course see https://www.youtube.com/playli

From playlist Rings and modules

Commutative algebra 41 Locally free modules

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define locally free modules and explain that they are analogs of vector bundles in geometry. We give some examples of local

From playlist Commutative algebra

Bruno de Mendonca Braga: Coarse equivalences of metric spaces and out automorphisms of Roe algebras

Talk by Bruno Braga in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 2, 2020.

From playlist Global Noncommutative Geometry Seminar (Americas)

Georges Comte: Sets with few rational points

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

Guo Hao, Scalar curvature, band width, and quantitative K-theory

From playlist Global Noncommutative Geometry Seminar (Asia and Pacific)

AlgTop23: Knots and surfaces II

In the 1930's H. Siefert showed that any knot can be viewed as the boundary of an orientable surface with boundary, and gave a relatively simple procedure for explicitly constructing such `Seifert surfaces'. We show the algorithm, exhibit it for the trefoil and the square knot, and then di

From playlist Algebraic Topology: a beginner's course - N J Wildberger

13C Norm and Distance in Euclidean n Space

Norm and distance in Euclidean n-Space.

From playlist Linear Algebra

Zero, identity, diagonal, triangular, banded matrices | Lecture 3 | Matrix Algebra for Engineers

Definition of the zero matrix, identity matrix, diagonal matrices, lower and upper triangular matrices and banded matrices. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subs

From playlist Matrix Algebra for Engineers