Theorems about polynomials | Theorems about triangles | Conic sections | Theorems in complex geometry
In mathematics, Marden's theorem, named after Morris Marden but proved about 100 years earlier by Jörg Siebeck, gives a geometric relationship between the zeroes of a third-degree polynomial with complex coefficients and the zeroes of its derivative. See also geometrical properties of polynomial roots. (Wikipedia).
Zeros of polynomial vs derivative
We will see how the zeros of the derivative of a polynomial are related to the zeros of the original polynomial. This is called the Gauss Lucas Theorem for zeros of derivatives, which is an elegant result from complex analysis that relates it with the convex hull of the original roots. I a
From playlist Complex Analysis
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
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
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
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
F. Luo - An introduction to discrete conformal geometry of polyhedral surfaces (Part 1)
The goal of the course is to introduce some of the recent developments on discrete conformal geometry of polyhedral surfaces. We plan to cover the following topics. - The Andreev-Koebe-Thurston theorem on circle packing polyhedral metrics and Marden-Rodin’s proof - Thurston’s conjecture o
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
F. Luo - An introduction to discrete conformal geometry of polyhedral surfaces (Part 3)
The goal of the course is to introduce some of the recent developments on discrete conformal geometry of polyhedral surfaces. We plan to cover the following topics. - The Andreev-Koebe-Thurston theorem on circle packing polyhedral metrics and Marden-Rodin’s proof - Thurston’s conjecture o
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
F. Luo - An introduction to discrete conformal geometry of polyhedral surfaces (Part 5)
The goal of the course is to introduce some of the recent developments on discrete conformal geometry of polyhedral surfaces. We plan to cover the following topics. - The Andreev-Koebe-Thurston theorem on circle packing polyhedral metrics and Marden-Rodin’s proof - Thurston’s conjecture o
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
F. Luo - An introduction to discrete conformal geometry of polyhedral surfaces (Part 2)
The goal of the course is to introduce some of the recent developments on discrete conformal geometry of polyhedral surfaces. We plan to cover the following topics. - The Andreev-Koebe-Thurston theorem on circle packing polyhedral metrics and Marden-Rodin’s proof - Thurston’s conjecture o
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
F. Luo - An introduction to discrete conformal geometry of polyhedral surfaces (Part 4)
The goal of the course is to introduce some of the recent developments on discrete conformal geometry of polyhedral surfaces. We plan to cover the following topics. - The Andreev-Koebe-Thurston theorem on circle packing polyhedral metrics and Marden-Rodin’s proof - Thurston’s conjecture o
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
500 years of NOT teaching THE CUBIC FORMULA. What is it they think you can't handle?
Why is it that, unlike with the quadratic formula, nobody teaches the cubic formula? After all, they do lots of polynomial torturing in schools and the discovery of the cubic formula is considered to be one of the milestones in the history of mathematics. It's all a bit of a mystery and ou
From playlist Recent videos
Applying reimann sum for the midpoint rule and 3 partitions
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
Interview at Cirm: Howard Masur
Howard Masur is an American mathematician who works on topology, geometry and combinatorial group theory. Masur was an invited speaker at the 1994 International Congress of Mathematicians in Zürich. and is a fellow of the American Mathematical Society. Along with Yair Minsky, Masur is one
From playlist English interviews - Interviews en anglais
Ice Road Truckers: Steph's Test (Season 10) | History
The warm season forces Mark to take a gamble on a brand new driver in this Season 10 web exclusive. #IRT Subscribe for more from Ice Road Truckers and other great HISTORY shows: http://histv.co/SubscribeHistoryYT Check out the deadliest roads featured on the show in this YouTube playlist
From playlist Ice Road Truckers: Season 10 | History
I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is
From playlist Series
The Fundamental Theorem of Calculus and How to Use it
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Fundamental Theorem of Calculus and How to Use it
From playlist Calculus 1
Midpoint riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
Ask Adam Savage: Adam's Working Hours and Tidiness
What are Adam's normal hours in the cave? Does Adam tidy up after each project? Has Mrs. Donttrythis ever raised an eyebrow at something Adam's bought? And are there any 2023 cosplays that Adam is excited about? In this live stream excerpt, Adam answers these questions from Tested members
From playlist Adam Savage's Live Streams