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
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Linear algebra: Prove the Sherman-Morrison formula for computing a matrix inverse
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
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
Linear Algebra 2e: Confirming All the 'Tivities
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Advanced Linear Algebra Full Video Course
Linear algebra is central to almost all areas of mathematics. For instance, #linearalgebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of
From playlist Linear Algebra
Rigidity and Flexibility of Schubert classes - Colleen Robles
Colleen Robles Texas A & M University; Member, School of Mathematics January 27, 2014 Consider a rational homogeneous variety X. The Schubert classes of X form a free additive basis of the integral homology of X. Given a Schubert class S in X, Borel and Haefliger asked: aside from the Schu
From playlist Mathematics
Stabilizer in abstract algebra
In the previous video we looked at the orbit of a set. To work towards the orbit stabilizer theorem, we take a look at what a stabilizer is in this video.
From playlist Abstract algebra
Oleg Lazarev - Simplifying Weinstein Morse functions
June 29, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry II
A frontal view on Lefschetz fibrations II - Rodger Casals
Augmentations and Legendrians at the IAS Topic: A frontal view on Lefschetz fibrations II Speaker: Roger Casals Date: Friday, February 12 In this series of two talks we will discuss Weinstein structures endowed with a Lefschetz fibration in terms of the Legendrian front projection. The ma
From playlist Mathematics
Guoliang Yu: Dimension, complexity and K theory
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 29.4.2015
From playlist HIM Lectures 2015
What is a Module? (Abstract Algebra)
A module is a generalization of a vector space. You can think of it as a group of vectors with scalars from a ring instead of a field. In this lesson, we introduce the module, give a variety of examples, and talk about the ways in which modules and vector spaces are different from one an
From playlist Abstract Algebra
Data-driven nonlinear aeroelastic models of morphing wings for control
In this video, Urban Fasel describes a data-driven reduced-order aeroelastic modeling technique for morphing wings and shows its applicability for model predictive control. https://royalsocietypublishing.org/doi/full/10.1098/rspa.2020.0079 Data-driven nonlinear aero
From playlist Data-Driven Science and Engineering
Flexibilization as localization - Oleg Lazarev
Workshop on the h-principle and beyond Topic: Flexibilization as localization Speaker: Oleg Lazarev Affiliation: University of Massachusetts, Boston Date: November 5, 2021 Abstract: Cieliebak and Eliashberg showed that there is a special class of flexible symplectic structures that sati
From playlist Mathematics
Non-standard Contact Structures on Spheres and Applications - Agustin Moreno
Special Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Non-standard Contact Structures on Spheres and Applications Speaker: Agustin Moreno Affiliation: Member, School of Mathematics Date: February 13, 2023 In this talk, I will describe the construction of contact struc
From playlist Mathematics
Hilbert-Schmidt stability of groups via C*-algebras - Tatiana Shulman
Stability and Testability Topic: Hilbert-Schmidt stability of groups via C*-algebras Speaker: Tatiana Shulman Affiliation: Polish Academy of Science Date: December 16, 2020 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Lecture 12: Tensegrities & Carpenter's Rules
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture covers infinitesimal rigidity and motion, and tensegrity systems as an extension of rigidity theory. The rigidity mat
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
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
Flexibility in symplectic and contact geometry – Emmy Murphy – ICM2018
Geometry | Topology Invited Lecture 5.6 | 6.2 Flexibility in symplectic and contact geometry Emmy Murphy Abstract: Symplectic and contact structures are geometric structures on manifolds, with relationships to algebraic geometry, geometric topology, and mathematical physics. We discuss a
From playlist Geometry