Theorems in complex analysis | Articles containing proofs
In the mathematical theory of conformal mappings, the area theoremgives an inequality satisfied bythe power series coefficients of certain conformal mappings.The theorem is called by that name, not because of its implications, but rather because the proof usesthe notion of area. (Wikipedia).
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
Ex 2: Area Under a Linear Function Using Definite Integration
This video provides a basic example of how to determine the area under a function using definite integration. Search Video Library at www.mathispower4u.wordpress.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
Definition of Area Riemann Sum Limit of Sums Part 2 of 2 Calculus 1
I introduce the Definition of Area of a Plane. This is a special case of Riemann Sums where the width of the rectangles used to find the area of a plane bound by a function and the x-axis are all of equal width. Many examples are worked through. This is part 2 of my video "Area of a Pl
From playlist Calculus
Riemann Integral Visually Explained
Welcome to the first video on our channel! We discuss the geometric intuition behind Riemann integration. Our goal is to provide deeper understanding of the topic, believing that memorizing definitions and formulas is not all there is to it. This video is what we've made for 3Blue1Bown's
From playlist Summer of Math Exposition Youtube Videos
Ex 1: Area Under a Constant Function Using Definite Integration
This video provides a basic example of how to determine the area under a function using definite integration. Search Video Library at www.mathispower4u.wordpress.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
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
Ex 4: Area Under a Rational Function Using Definite Integration
This video provides a example of how to determine the area under a rational function using definite integration. Search Video Library at www.mathispower4u.wordpress.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
Estimating Area with Rectangles & Riemann Limit of Sums Definition of Area Calculus 1 AB
I introduce estimating the Area in a Plane using rectangles. I then expand on that concept using summation notation and limits at n approached infinity to find the exact area bound by a function and the x-axis within a closed interval. This video includes examples of estimating the lower
From playlist Calculus
Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1
I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela
From playlist Calculus
8ECM Plenary Lecture: Franc Forstnerič
From playlist 8ECM Plenary Lectures
Stefan Wenger - 21 September 2016
Wenger, Stefan "“Plateau’s problem in metric spaces and applications”"
From playlist A Mathematical Tribute to Ennio De Giorgi
C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 2)
I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it. Then I will describe Thurston's compactification of Teichmuller space, and state his classification t
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Symposium on Geometry Processing 2017 Graduate School Lecture by Keenan Crane https://www.cs.cmu.edu/~kmcrane/ http://geometry.cs.ucl.ac.uk/SGP2017/?p=gradschool#abs_conformal_geometry Digital geometry processing is the natural extension of traditional signal processing to three-dimensi
From playlist Tutorials and Lectures
Boris Springborn: Discrete Uniformization and Ideal Hyperbolic Polyhedra
CATS 2021 Online Seminar Boris Springborn, Technical University of Berlin Abstract: This talk will be about two seemingly unrelated problems: 00:46:00 A discrete version of the uniformization problem for piecewise flat surfaces, and 00:35:48 Constructing ideal hyperbolic polyhedra with p
From playlist Computational & Algorithmic Topology (CATS 2021)
Lecture 19: Conformal Geometry
CS 468: Differential Geometry for Computer Science
From playlist Stanford: Differential Geometry for Computer Science (CosmoLearning Computer Science)
From playlist Plenary talks One World Symposium 2020
J. Fine - Knots, minimal surfaces and J-holomorphic curves
I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
J. Fine - Knots, minimal surfaces and J-holomorphic curves (version temporaire)
I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
This is the first of two video lectures on Briggs/Cochran Calculus, Section 5.3: The Fundamental Theorem of Calculus. In this video, I discuss area functions and work through some examples.
From playlist Calculus
Sabyasachi Mukherjee: Interbreeding in conformal dynamics, and its applications near and far
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Virtual Conference