What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
A (compelling?) reason for the Riemann Hypothesis to be true #SOME2
A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.
From playlist Summer of Math Exposition 2 videos
A Beautiful Proof of Ptolemy's Theorem.
Ptolemy's Theorem seems more esoteric than the Pythagorean Theorem, but it's just as cool. In fact, the Pythagorean Theorem follows directly from it. Ptolemy used this theorem in his astronomical work. Google for the historical details. Thanks to this video for the idea of this visual
From playlist Mathy Videos
Here's a re-enactment of the famous paradox known as the "infinite monkey theorem."
From playlist Cosmic Journeys
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
Sir Michael Atiyah | The Riemann Hypothesis | 2018
Slides for this talk: https://drive.google.com/file/d/1DNHG9TDXiVslO-oqDud9f-9JzaFCrHxl/view?usp=sharing Sir Michael Francis Atiyah: "The Riemann Hypothesis" Monday September 24, 2018 9:45 Abstract: The Riemann Hypothesis is a famous unsolved problem dating from 1859. I will present a
From playlist Number Theory
Solvability in Polynomials of Pell Equations in a Pencil and a Conjecture of Pink - Umberto Zannier
Umberto Zannier Scuola Normale Superiore de Pisa, Italy April 10, 2013 The classical Pell equation X2−DY2=1X2−DY2=1, to be solved in integers X,Y≠0X,Y≠0, has a variant for function fields (studied already by Abel), where now D=D(t)D=D(t) is a complex polynomial of even degree and we seek s
From playlist Mathematics
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
Interacting particle systems with kinetic... (lecture 3) by Fabio Martinelli
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Umberto Zannier - Unlikely Intersections and Pell's equations in polynomials
Unlikely Intersections and Pell's equations in polynomials
From playlist 28ème Journées Arithmétiques 2013
Functional Transcendence via Model Theory - Joel Ronnie Nagloo
CAARMS Topic: Functional Transcendence via Model Theory Speaker: Joel Ronnie Nagloo Affiliation: Bronx Community College - CUNY Date: July 12, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
István Pink: Number of solutions to a special type of unit equations in two unknowns
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 26, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
The magic and mystery of "pi" | Real numbers and limits Math Foundations 93 | N J Wildberger
The number "pi" has been a fascinating object for thousands of years. Intimately connected with a circle, it is not an easy object to get hold of completely rigourously. In fact the two main theorems associated to it--the formulas for the area and circumference of a circle of radius pi--ar
From playlist Math Foundations
Absolute notions in model theory - M. Dzamonja - Workshop 1 - CEB T1 2018
Mirna Dzamonja (East Anglia) / 30.01.2018 The wonderful theory of stability and ranks developed for many notions in first order model theory implies that many model theoretic constructions are absolute, since they can be expressed in terms of internal properties measurable by the existenc
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
To learn more about Wolfram Data Summit, please visit: http://www.wolframdatasummit.org/ Established as a forum for leaders of the world's great data repositories, the Wolfram Data Summit has become an annual event for those interested in the latest innovations in data and data science. T
From playlist Wolfram Data Summit 2016
Real numbers and Cauchy sequences of rationals(I) | Real numbers and limits Math Foundations 111
We introduce the idea of a `Cauchy sequence of rational numbers'. The notion is in fact logically problematic. It involves epsilons and N's, much as does the notion of a limit, and suffers from similiar issues: how to guarantee that we can find an infinite number of N's for an infinite num
From playlist Math Foundations
Thresholds Versus Fractional Expectation-Thresholds - Keith Frankston
Computer Science/Discrete Mathematics Seminar I Topic: Thresholds Versus Fractional Expectation-Thresholds Speaker: Keith Frankston Affiliation: Rutgers University Date: December 16, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
O-minimality and Ax-Schanuel properties - Jonathan Pila
Hermann Weyl Lectures Topic: O-minimality and Ax-Schanuel properties Speaker: Jonathan Pila Affiliation: University of Oxford Date: October 24, 2018 For more video please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
How to develop a proper theory of infinitesimals I | Famous Math Problems 22a | N J Wildberger
Infinitesimals have been contentious ingredients in quadrature and calculus for thousands of years. Our definition of the term starts with the Wikipedia entry, modified a bit to reduce the dependence on "real numbers", which is actually quite unnecessary--- but as a logical definition it i
From playlist Famous Math Problems
On groups definable in geometric fields - A. Onshuus- Workshop 3 - CEB T1 2018
Alf Onshuus (Universidad de los Andes) / 26.03.2018 On groups definable in geometric fields Geometric fields are fields where model theoretic algebraic closure is the same as field theoretic algebraic closure, and which eliminate exist infinity. Hrushovski and Pillay proved that any grou
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields