Van Schooten's theorem

Jan-Hendrik Evertse: On Scmidt's subspace theorem

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 Number Theory

5.01 Van Kampen's theorem: statement and examples

We formulate Van Kampen's theorem and use it to calculate some fundamental groups. For notes, see here: http://www.homepages.ucl.ac.uk/~ucahjde/tg/html/vkt01.html

From playlist Algebraic Topology

The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

The Schrodinger Equation is (Almost) Impossible to Solve.

Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th

From playlist Quantum Physics by Parth G

The Vandermonde Matrix and Polynomial Interpolation

The Vandermonde matrix is a used in the calculation of interpolating polynomials but is more often encountered in the proof that such polynomial interpolates exist. It is also often encountered in the study of determinants since it has a really nice determinant formula. Chapters 0:00 - In

From playlist Interpolation

Lagrange theorem

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

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

A quantum particle in a periodic egg carton potential

This simulation of a quantum particle in a periodic particle explores a new visualization, in which the z-coordinate is the sum of the potential, and another quantity related to the wave function (either its real part, or its modulus squared). There is a detailed theory on Schrödinger's eq

From playlist Schrödinger's equation

Colouring Numbers (extra) - Numberphile

This video continues from a previous video --- https://youtu.be/kE3OuzlkUnU Fields Medallist Sir Timothy Gowers discusses Van der Waerden's theorem. More links & stuff in full description below ↓↓↓ Timothy Gowers website: https://gowers.wordpress.com And his Twitter: https://twitter.co

From playlist Fields Medallists on Numberphile

Probability & Statistics (29 of 62) Basic Theorems 1 - 5

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Theorem 1-5. Next video in series: http://youtu.be/0h1lnzQR_5o

From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS

From graph limits to higher order Fourier analysis – Balázs Szegedy – ICM2018

Combinatorics Invited Lecture 13.8 From graph limits to higher order Fourier analysis Balázs Szegedy Abstract: The so-called graph limit theory is an emerging diverse subject at the meeting point of many different areas of mathematics. It enables us to view finite graphs as approximation

From playlist Combinatorics

Colouring Numbers - Numberphile

Fields Medallist Sir Timothy Gowers discusses Van der Waerden's theorem. Interview continues on Numberphile2 at: https://youtu.be/hHIfJcwipAY More links & stuff in full description below ↓↓↓ Timothy Gowers website: https://gowers.wordpress.com And his Twitter: https://twitter.com/wtgower

From playlist Fields Medallists on Numberphile

Courses - E. PRESUTTI "Phase transitions in systems with spatially non homogeneous interactions”

I will describe recent results and works in progress on the absence/presence of phase transitions in systems with spatially non homogeneous interactions. In a first part I will consider the d ≥ 2 nearest neighbor ferromagnetic Ising model under the action of a non negative, space dependent

From playlist T1-2015 : Disordered systems, random spatial processes and some applications

A Fun Proof of Van Aubel's Theorem.

Van Aubel's theorem isn't much more than a curious geometrical construction, but the more you think about it, the more interesting it seems. There are a few published proofs out there on the internet. Most involve constructing similar triangles, but the one that fascinated me involved pl

From playlist Mathy Videos

The Binomial Chu Vandermonde Identity: a new unification? | Algebraic Calculus Two | Wild Egg Maths

We suggest a novel unification of the Binomial and Chu Vandermonde identities, leading to an unusual introduction of the exponential polyseries, along with Newton's reciprocal polyseries. The main idea is to introduce a generalization of Knuth's rising and falling powers notation, which w

From playlist Algebraic Calculus Two

Rigidity for von Neumann algebras – Adrian Ioana – ICM2018

Analysis and Operator Algebras Invited Lecture 8.5 Rigidity for von Neumann algebras Adrian Ioana Abstract: We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability spaces.

From playlist Analysis & Operator Algebras

An Unusual Way to Prove Napoleon's Theorem

There are many videos on the internet about Napoleon's Theorem, but this one explains it the MathyJaphy way, which I like to think is unique. A viewer asked whether a vector-based proof, similar to the one seen in my video on Van Aubel's Theorem, existed for Napoleon's. They're very simi

From playlist Mathy Videos

Towards Morse theory of dispersion relations - Gregory Berkolaiko

Mathematical Physics Seminar Topic: Towards Morse theory of dispersion relations Speaker: Gregory Berkolaiko Affiliation: Texas A&M University Date: April 20, 2022  The question of optimizing an eigenvalue of a family of self-adjoint operators that depends on a set of parameters arises i

From playlist Mathematics

Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger

In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some

From playlist Famous Math Problems