Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
ENIAC: Computer History 1946 "Behind the Scenes" Commentary, Trivia, History, Film Restoration
Just for fun, a brief “Behind the Scenes” look at what we did to restore the original 1946 film, plus some “Outtakes,” Commentary, History and a bit of Trivia. Hope you enjoy! ENIAC was the first large scale, general purpose, programmable electronic digital computer. {See links below
From playlist Computer History: ENIAC 1944-1946: Origin and History of a Giant Brain
The Condition Number of a Random Matrix: From von Neumann-Goldstine to Spielman-Teng - Van Vu
Van Vu Rutgers, The State University of New Jersey September 27, 2010 The condition number of a matrix is at the heart of numerical linear algebra. In the 1940s von-Neumann and Goldstine, motivated by the problem of inverting, posed the following question: (1) What is the condition number
From playlist Mathematics
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
Computer History: 1946 ENIAC Computer History Remastered FULL VERSION First Electronic Computer U.S.
Computer History: ENIAC Computer History, an educational film: The First Large Scale, Programmable, General Purpose Electronic Digital Computer ~ ENIAC - original 1946 announcement film, restored & new narration. ENIAC, "Electronic Numerical Integrator and Computer", was designed by J.
From playlist Computer History: ENIAC 1944-1946: Origin and History of a Giant Brain
Susan Goldstine - Maps of Strange Worlds: Beyond the Four-Color Theorem - CoM Jan 2021
In 1852, a math student posed a deceptively simple-sounding question: if you want to color a map so that bordering regions always have different colors, how many colors do you need? This opened a rabbit hole that has kept mathematicians, computer scientists, and philosophers occupied for
From playlist Celebration of Mind 2021
Turing Centennial Conference: Turing, Church, Gödel, Computability, Complexity and Randomization
Turing, Church, Gödel, Computability, Complexity and Randomization Presented by Prof. Michael Rabin, Turing Award laureate, Hebrew University & Harvard University Alan M. Turing Centennial Conference - Israel April 4, 2012 The Wohl Centre Bar-Ilan University Ramat-Gan, Israel For more in
From playlist Alan M. Turing Centennial Conference - Israel
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
Susan Goldstine - Symmetry Samplers - G4G13 Apr 2018
A short survey of symmetry samplers in knitting, embroidery, and beadwork.
From playlist G4G13 Videos
Susan Goldstine - Mosaic Knitting Friezes: Seventeen Symmetries, Minus Three - G4G14 Apr 2022
Mosaic knitting, a relatively new form of two-color knitting, has become popular because it is easier for the knitter than most traditional forms of color work. The price of this ease is an unusual set of restrictions on color placement for the pattern designer. Carolyn Yackel and I have r
From playlist G4G14 Videos
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Ellie Baker - Crafts, Math, and the Joy of Turning Things Inside Out - CoM Apr 2021
Infinitely Invertible Infinity paper: http://archive.bridgesmathart.org/2020/bridges2020-83.pdf Invertible Infinity: A Toroidal Fashion Statement paper: http://archive.bridgesmathart.org/2017/bridges2017-49.pdf Trefoil knotted scarf with hidden seams: http://www.ellie-baker.com/shared-st
From playlist Celebration of Mind 2021
The Institute for Advanced Study: The First 100 Years - George Dyson
Public Lecture: The Institute for Advanced Study: The First 100 Years George Dyson, Author, Historian, and past Director's Visitor (2002–03) at the Institute In 1916, social theorist Thorstein Veblen called for the post-war institution of “academic houses of refuge... where teachers and
From playlist Public Lectures
Lie groups: Poincare-Birkhoff-Witt theorem
This lecture is part of an online graduate course on Lie groups. We state the Poincare-Birkhoff Witt theorem, which shows that the universal enveloping algebra (UEA) of a Lie algebra is the same size as a polynomial algebra. We prove it for Lie algebras of Lie groups and sketch a proof of
From playlist Lie groups
Abstract Algebra | Lagrange's Theorem
We prove some general results, culminating in a proof of Lagrange's Theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Solve a Bernoulli Differential Equation (Part 2)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
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
2020 Auction Fundraiser - Zoom Preview
2020 Auction Webpage: http://www.gathering4gardner.org/auction2020/ ** Auction Preview Timestamps: ** 00:20 – Bob Hearn – introduction and auction explanation 05:00 – G4G branded face mask give-away 05:45 – John Conway’s traveling backgammon game 06:00 – Autographed books 07:15 – Adam Rubi
From playlist Celebration of Mind