Fundamentals of Mathematics - Lecture 16: Some Famous Summation Formulas
course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton - UVM
From playlist Fundamentals of Mathematics
Theory of numbers: Congruences: Chinese remainder theorem
This lecture is part of an online undergraduate course on the theory of numbers. We describe the Chinese remainder theorem, which can be used to reduce problems about congruences to problems about congruences modulo prime powers. We give a few applications, including a sharper version of
From playlist Theory of numbers
Completeness and Orthogonality
A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.
From playlist Mathematical Physics II Uploads
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
High dimensional estimation via Sum-of-Squares Proofs – D. Steurer & P. Raghavendra – ICM2018
Mathematical Aspects of Computer Science Invited Lecture 14.6 High dimensional estimation via Sum-of-Squares Proofs David Steurer & Prasad Raghavendra Abstract: Estimation is the computational task of recovering a ‘hidden parameter’ x associated with a distribution 𝒟_x, given a ‘measurem
From playlist Mathematical Aspects of Computer Science
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration
From playlist Number Theory
This is a short, animated visual proof of Viviani's theorem, which states that the sum of the distances from any interior point to the sides of an equilateral triangle is equal to the length of the triangle's altitude. #math #geometry #mtbos #manim #animation #theorem #pww #proofwith
From playlist MathShorts
Algebra to remember when evaluating sum and difference formulas
👉 Learn how to simplify trigonometric function of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the unit circle and Pythagoras theorem to identify and obtain the values of the needed trigonometric functions of the known angles. When we know
From playlist Sum and Difference Formulas
A (truly) universal polynomial differential equation Lee A. Rubel proved in 1981 that there exists a universal fourth-order algebraic differential equation P(y,y',y'',y''')=0 (1) and provided an explicit example. It is universal in the sense that for any continuous function f from R to
From playlist DART X
Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)
This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f
From playlist Math 1171 (Calculus 1) Fall 2021
Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
What is Green's theorem? Chris Tisdell UNSW
This lecture discusses Green's theorem in the plane. Green's theorem not only gives a relationship between double integrals and line integrals, but it also gives a relationship between "curl" and "circulation". In addition, Gauss' divergence theorem in the plane is also discussed, whic
From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell
Real Analysis Ep 32: The Mean Value Theorem
Episode 32 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is more about the mean value theorem and related ideas. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker
From playlist Math 3371 (Real analysis) Fall 2020
Pythagorean theorem - What is it?
► My Geometry course: https://www.kristakingmath.com/geometry-course Pythagorean theorem is super important in math. You will probably learn about it for the first time in Algebra, but you will literally use it in Algebra, Geometry, Trigonometry, Precalculus, Calculus, and beyond! That’s
From playlist Geometry
Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]
This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the
From playlist Wolfram Physics Project Livestream Archive
Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains
Title: Borsuk–Ulam theorems for maps into higher-dimensional codomains Abstract: I will describe Borsuk-Ulam theorems for maps of spheres into higher-dimensional codomains. Given a continuous map from a sphere to Euclidean space, we say the map is odd if it respects the standard antipodal
From playlist AATRN 2020
Worldwide Calculus: Extrema and the Mean Value Theorem
Lecture on 'Extrema and the Mean Value Theorem' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
Stokes' Theorem and Green's Theorem
Stokes' theorem is an extremely powerful result in mathematical physics. It allows us to quantify how much a vector field is circulating or rotating, based on the integral of the curl. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Stoke's Theorem Overview
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
Green's Theorem. Chris Tisdell UNSW
This is the 2nd lecture on Green's theorem and its use. In this lecture we explore some interesting applications of Green's theorem and present several examples. Also some proofs are discussed.
From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell
Simplifying a trigonometric expression using tangent
👉 Learn how to simplify trigonometric function of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the unit circle and Pythagoras theorem to identify and obtain the values of the needed trigonometric functions of the known angles. When we know
From playlist Sum and Difference Formulas