Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
In this video, I prove the famous Riemann-Lebesgue lemma, which states that the Fourier transform of an integrable function must go to 0 as |z| goes to infinity. This is one of the results where the proof is more important than the theorem, because it's a very classical Lebesgue integral
From playlist Real Analysis
In this video, I present an overview (without proofs) of the Lebesgue integral, which is a more general way of integrating a function. If you'd like to see proods of the statements, I recommend you look at fematika's channel, where he gives a more detailed look of the Lebesgue integral. In
From playlist Real Analysis
Measure Theory 3.1 : Lebesgue Integral
In this video, I define the Lebesgue Integral, and give an intuition for such a definition. I also introduce indicator functions, simple functions, and measurable functions.
From playlist Measure Theory
In this video, I show how to calculate the integral of x^3 from 0 to 1 but using the Lebesgue integral instead of the Riemann integral. My hope is to show you that they indeed produce the same answer, and that in fact Riemann integrable functions are also Lebesgue integrable. Enjoy!
From playlist Real Analysis
Measure Theory 2.1 : Lebesgue Outer Measure
In this video, I introduce the Lebesgue outer measure, and prove that it is, in fact, an outer measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
On the structure of measures constrained by linear PDEs – Guido De Philippis – ICM2018
Partial Differential Equations | Analysis and Operator Algebras Invited Lecture 10.3 | 8.3 On the structure of measures constrained by linear PDEs Guido De Philippis Abstract: The aim of this talk is to present some recent results on the structure of the singular part of measures satisfy
From playlist Partial Differential Equations
GPDE Workshop - External doubly stochastic measures and optimal transportation
Robert McCann University of Toronto February 23, 2009 For more videos, visit http://video.ias.edu
From playlist Mathematics
As promised, in this video I calculate an explicit example of a Lebesgue integral. As you'll see, it's a much more efficient way of calculating the area under that curve. Finally, I'll present a really cool way of doing this problem. Enjoy! Note: Photo credit goes to Analysis of Fractal W
From playlist Real Analysis
Observable events" and "typical trajectories" in...dynamical systems - Lai-Sang Young
Analysis Seminar Topic: Observable events" and "typical trajectories" in finite and infinite dimensional dynamical systems Speaker: Lai-Sang Young Affiliation: New York University; Distinguished Visiting Professor, School of Mathematics and Natural Sciences Date: February 24, 2020 For mo
From playlist Mathematics
Flows of vector fields: classical and modern - Camillo DeLellis
Analysis Seminar Topic: Flows of vector fields: classical and modern Speaker: Camillo DeLellis Affiliation: Faculty, School of Mathematics; IBM von Neumann Professor, School of Mathematics Date: April 13, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Dynamical systems, fractals and diophantine approximations – Carlos Gustavo Moreira – ICM2018
Plenary Lecture 6 Dynamical systems, fractal geometry and diophantine approximations Carlos Gustavo Moreira Abstract: We describe in this survey several results relating Fractal Geometry, Dynamical Systems and Diophantine Approximations, including a description of recent results related
From playlist Plenary Lectures
Dynamics on the Moduli Spaces of Curves, III - Maryam Mirzakhani
Maryam Mirzakhani Stanford University March 30, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Measure Theory 2.2 : Lebesgue Measure of the Intervals
In this video, I prove that the Lebesgue measure of [a, b] is equal to the Lebesgue measure of (a, b) is equal to b - a. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Hyperbolicity and Physical Measures (Lecture 1) by Stefano Luzzatto
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Some aspects of the mean-field stochastic target problem - Boualem Djehiche, KTH, Stockholm
This workshop is kindly sponsored by London Mathematical Society, EPSRC and is part of the Lloyd's Register Foundation programme on Data-centric engineering at The Alan Turing Institute. The workshop "Mean-field games, energy and environment" aims to bring together leading experts in the f
From playlist Mean-field games, energy and environment
Alessio Figalli, Fields medallist 2018 - International Meeting - 17 January 2019
https://www.sns.it/it/evento/alessio-figalli-fields-medallist-2018 Alessio Figalli, Fields medallist 2018 International Meeting This event gathers mathematicians that had a major role in Figalli’s career, either by inspiring and guiding him during his early stage, or by collaborating wit
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Measure Theory 3.4: Monotone Convergence Theorem
In this video, I will be proving the Monotone Convergence Theorem for Lebesgue Integrals. Email : fematikaqna@gmail.com Subreddit : https://www.reddit.com/r/fematika Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Complex geometry of Teichmuller domains (Lecture 2) by Harish Seshadri
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019