Theorems in differential geometry

Meusnier's theorem

In differential geometry, Meusnier's theorem states that all curves on a surface passing through a given point p and having the same tangent line at p also have the same normal curvature at p and their osculating circles form a sphere. The theorem was first announced by Jean Baptiste Meusnier in 1776, but not published until 1785.At least prior to 1912, several writers in English were in the habit of calling the result Meunier's theorem, although there is no evidence that Meusnier himself ever spelt his name in this way.This alternative spelling of Meusnier's name also appears on the Arc de Triomphe in Paris. (Wikipedia).

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Meusnier, Monge and Dupin I | Differential Geometry 31 | NJ Wildberger

This is the first of three videos that discuss the mathematical lives and works of three influential French differential geometers. We begin with J. Meusnier, who was a soldier, engineer and mathematician. He investigated lines of curvature and discovered a famous result that shows how to

From playlist Differential Geometry

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Meusnier, Monge and Dupin II | Differential Geometry 32 | NJ Wildberger

Here we continue our study of the works of three important French differential geometers. Today we discuss G. Monge, who is sometimes called the father of the subject. He was the inventor of descriptive geometry (which he developed for military applications), and various theorems in Euclid

From playlist Differential Geometry

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Cauchy Riemann equations

In this video I derive the famous Cauchy-Riemann equations for a differentiable function of one complex variable. Those are equations that determine whether a complex function is differentiable or not, in terms of its real and imaginary parts. Zot zot :)

From playlist Complex Analysis

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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

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Meusnier, Monge and Dupin III | Differential Geometry 33 | NJ Wildberger

We look at some of the work of Charles Dupin, a French naval engineer and student of Monge. He made some lovely discoveries about triply orthogonal surfaces and lines of curvatures, for example confocal families of ellipses and hyperbolas. He studied conjugate directions on surfaces (going

From playlist Differential Geometry

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Embeddedness of timelike maximal surfaces in (1+2) Minkowski Space by Edmund Adam Paxton

Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be co

From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)

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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

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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

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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

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Fully animated explanation of proving the fundamental theorem of calculus and explaining the idea with an example.

From playlist Further Calculus - MAM Unit 3

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Ex: Existence and Uniqueness of y'=f(x,y) with y(x_0)=y_0: Picard's Theorem (1.2.102-103)

This video explains how to use Picard's theorem determine the existence and uniqueness of an initial value problem. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

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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

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Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

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From playlist Ergodic Theory and Dynamical Systems 2022

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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

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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

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► 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

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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

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Cauchy-Riemann Equations: Proving a Function is Nowhere Differentiable 1

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Using the Cauchy-Riemann Equations to prove that the function f(z) = conjugate(z) is nowhere differentiable. This is a straightforward application of the C.R. equations.

From playlist Complex Analysis

Related pages

Osculating circle | Differential geometry | Curve