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
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
An explanation of Stokes' theorem or Green's theorem in 3-space.
From playlist Advanced Calculus / Multivariable Calculus
Calculus: The Fundamental Theorem of Calculus
This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.
From playlist Calculus
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Guido Montúfar : Fisher information metric of the conditional probability politopes
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the September 01, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
Calculus - The Fundamental Theorem, Part 2
The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Anton Alekseev - The Kashiwara-Vergne theory and 2-dimensional topology
Abstract: The Kashiwara-Vergne problem is a property of the Baker-Campbell-Hausdorff series which was designed to study the Duflo Theorem in Lie theory. Surprisingly, it is related to many other fields of Mathematics including the Drinfled’s theory of associators and the theory of multipl
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
The orbit method for (certain) pro-p groups (Lecture 2) by Uri Onn
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
How to Come Up with the Semi-Implicit Euler Method Using Hamiltonian Mechanics #some2 #PaCE1
Notes for this video: https://josephmellor.xyz/downloads/symplectic-integrator-work.pdf When you first learn about Hamiltonian Mechanics, it seems like Lagrangian Mechanics with more work for less gain. The only reason we even learn Hamiltonian Mechanics in undergrad is that the Hamiltoni
From playlist Summer of Math Exposition 2 videos
Connecting Random Connection Models by Srikanth K Iyer
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
The Fundamental Theorem of Calculus - Example & Proof
Fully animated explanation of proving the fundamental theorem of calculus and explaining the idea with an example.
From playlist Further Calculus - MAM Unit 3
Lie groups: Baker Campbell Hausdorff formula
This lecture is part of an online graduate course on Lie groups. We state the Baker Campbell Hausdorff formula for exp(A)exp(B). As applications we show that a Lie group is determined up to local isomorphism by its Lie algebra, and homomorphisms from a simply connected Lie group are deter
From playlist Lie groups
Algebraic K-theory, combinatorial K-theory and geometry - Inna Zakharevich
Vladimir Voevodsky Memorial Conference Topic: Algebraic K-theory, combinatorial K-theory and geometry Speaker: Inna Zakharevich Affiliation: Cornell University Date: September 14, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Omar Mohsen: Characterization of Maximally Hypoelliptic Differential Operators
Talk by Omar Mohsen in Global Noncommutative Geometry Seminar (Americas) on September 16, 2022, https://globalncgseminar.org/talks/talk-by-omar-mohsen/
From playlist Global Noncommutative Geometry Seminar (Americas)
Calculus - The Fundamental Theorem, Part 5
The Fundamental Theorem of Calculus. How an understanding of an incremental change in area helps lead to the fundamental theorem
From playlist Calculus - The Fundamental Theorem of Calculus
Bhargav Bhatt - Prismatic cohomology and applications: Kodaira vanishing
February 21, 2022 - This is the third in a series of three Minerva Lectures. Prismatic cohomology is a recently discovered cohomology theory for algebraic varieties over p-adically complete rings. In these lectures, I will give an introduction to this notion with an emphasis on applicatio
From playlist Minerva Lectures - Bhargav Bhatt
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers