Euler-Lagrange equation explained intuitively - Lagrangian Mechanics
Lagrangian Mechanics from Newton to Quantum Field Theory. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
A basic introduction to Analytical Mechanics derived from Newtonian Mechanics, covering the Lagrangian, principle of least action, Euler Lagrange equation and Hamiltonian.
From playlist Classical Mechanics
Uniqueness: The Physics Problem That Shouldn't Be Solved
The Uniqueness Theorem can PROVE that this problem only has one possible solution... so however we can find it (e.g. guessing), we know we've got the right one! In this video, we'll be taking a look at how this uniqueness theorem is derived for the Poisson and Laplace equations in electro
From playlist Classical Physics by Parth G
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Stefaan Vaes - Classification of regular subalgebras of the hyperfinite II1 factor
I present a joint work with Sorin Popa and Dimitri Shlyakhtenko. We prove that under a natural condition, the regular von Neumann subalgebras B of the hyperfinite II1 factor R are completely classified (up to conjugacy by an automorphism of R) by the associated discrete measured groupoid.
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
Potential Flow Part 2: Details and Examples
This video gives more examples of potential flows and how they establish idealized fluid flows. They are found by solving Laplace's equation, which is one of the most important PDEs in all of mathematical physics. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
11_7_1 Potential Function of a Vector Field Part 1
The gradient of a function is a vector. n-Dimensional space can be filled up with countless vectors as values as inserted into a gradient function. This is then referred to as a vector field. Some vector fields have potential functions. In this video we start to look at how to calculat
From playlist Advanced Calculus / Multivariable Calculus
The Potential to Make Electric Fields Easier to Deal With | Electromagnetism by Parth G
Some mathematical identities combined with Maxwell's equations allow us to define electric and magnetic potentials... but why are they useful? Hi everyone! In a recent video, I talked about how the magnetic vector potential was a different way to view magnetic fields, and why Quantum Mech
From playlist Classical Physics by Parth G
I give a proof of the Cartan-Hadamard theorem on non-positively curved complete Riemannian manifolds. For more details see Chapter 7 of do Carmo's "Riemannian geomety". If you find any typos or mistakes, please point them out in the comments.
From playlist Differential geometry
Laplace Eigenvalues on the Unit Disk: A Complete Derivation
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 Partial Differential Equations
Mod-02 Lec-07 Gauss's Law, Potential
Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Electromagnetic Theory
Jeremy Rouse, l-adic images of Galois for elliptic curves over Q
VaNTAGe seminar, June 22, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan #shorts
Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan #shorts Full Review: https://youtu.be/5JJzHUKyxrE This is the book on amazon:https://amzn.to/380wqF7 (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PL
From playlist Book Reviews #shorts
Tristan Riviere - Min-Max Methods in the Variations of Curves and Surfaces - Lecture 1
1. Overview of the lectures and references: https://people.math.ethz.ch/~riviere/minmax.html 2. Cartan's Theorem (I.1) 5:25 3. Sweep-outs 22:15 4. Lemma I.1 27:00 5. Existence of minimizers and the curve shortening process 31:25 6. Birkhoff's Theorem (I.2) 47:00 7. Lemma I.2 54:47 8. Comme
From playlist 2016 - Calculus of Variations and PDE's
Quivers for symmetrizable Cartan matrices and algebraic Lie theory – C. Geiß – ICM2018
Lie Theory and Generalizations | Algebra Invited Lecture 7.11 | 2.6 Quivers with relations for symmetrizable Cartan matrices and algebraic Lie theory Christof Geiß Abstract: We give an overview of our effort to introduce (dual) semicanonical bases in the setting of symmetrizable Cartan m
From playlist Lie Theory and Generalizations
Let's look at some math books:) I tried to pick books which are good and/or famous to some extent. All of these books are pretty good. Some are good for beginners and some are definitely not good for beginners. These are the books on amazon. Linear algebra by Strang https://amzn.to/3tAy
From playlist Book Reviews
Branched Holomorphic Cartan Geometries by Sorin Dumitrescu
DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be
From playlist Analytic and Algebraic Geometry-2018
Xin Li: Cartan subalgebras in C*-algebras
This talk is about the notion of Cartan subalgebras introduced by Renault, based on work of Kumjian. We explain how Cartan algebras build a bridge between dynamical systems and operator algebras, and why this notion might be interesting for the structure theory of C*-algebras as well. The
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Vladimir Berkovich: de Rham theorem in non-Archimedean analytic geometry
Abstract: In my work in progress on complex analytic vanishing cycles for formal schemes, I have defined integral "etale" cohomology groups of a compact strictly analytic space over the field of Laurent power series with complex coefficients. These are finitely generated abelian groups pro
From playlist Algebraic and Complex Geometry
Are math people elitist? Do you think this is true? I discuss this and I also talk about four famous math books which are considered extremely rigorous. The books are Real and Complex Analysis by Rudin which is also known as "Papa Rudin", Principles of Mathematical Analysis by Rudin which
From playlist Book Reviews