Math 135 Complex Analysis Lecture 11 022415: Consequences of the Cauchy Integral Formula
Simple calculations using the Cauchy Integral Formula; Cauchy's integral formula for derivatives; Morera's Formula; observation regarding removable singularities; Cauchy's inequality; first Liouville's theorem; Fundamental Theorem of Algebra
From playlist Course 8: Complex Analysis
Marie-Claude Arnaud "Poincaré's last geometric theorem"
Résumé Poincaré's article « Sur un théorème de géométrie » begins with the following sentence: « I never published a so uncompleted work ». The year 1912 was the year of his death and the great mathematician guessed that he will not have enough time to prove the fundamental result contain
From playlist Colloque Scientifique International Poincaré 100
Decoupling in harmonic analysis and applications to number theory - Jean Bourgain
Jean Bourgain IBM von Neumann Professor, School of Mathematics March 23, 2015 Decoupling inequalities in harmonic analysis permit to bound the Fourier transform of measures carried by hyper surfaces by certain square functions defined using the geometry of the hyper surface. The original
From playlist Mathematics
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - Hélène Gispert - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Darboux c’est aussi le nom d’un journal : le Bulletin des sciences mathématiques (1869-1917) Hélène Gispert, GHDSO, Université Paris-Sud 11 À l’occasion du centenaire de la mort de Gaston Darboux, l’Institut Henri Poi
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - Barnabé Croizat - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Ovales, cyclides et surfaces orthogonales : les premières amours géométriques de Darboux Barnabé Croizat, Laboratoire Paul Painlevé, Université Lille 1 & CNRS À l’occasion du centenaire de la mort de Gaston Darboux, l
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
Decoupling in harmonic analysis and the Vinogradov mean value theorem - Bourgain
Topic: Decoupling in harmonic analysis and the Vinogradov mean value theorem Speaker: Jean Bourgain Date: Thursday, December 17 Based on a new decoupling inequality for curves in ℝd, we obtain the essentially optimal form of Vinogradov's mean value theorem in all dimensions (the case d=3
From playlist Mathematics
The Factor theorem and polynumber evaluation 63 | Arithmetic and Geometry Math Foundations
We introduce the idea of evaluating a polynumber p at an integer c. This evaluation respects the additive and multiplicative structures of arithmetic. Then we state and prove the important Factor theorem of Descartes and its important Corollory relating a zero of a polynumber and a linear
From playlist Math Foundations
Find all the possible real positive, real negative and complex zeros of a polynomial
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number
From playlist How to Use Descartes Rules of Signs
Generalization of an Integrability Theorem of Darboux and the Stable Configuration Condition In his monograph "Systèmes Orthogonaux" (Lecons sur les systèmes orthogonaux et les coordonnées curvilignes, Gauthier-Villars, Paris, 1910), Darboux stated three theorems providing local existence
From playlist DART X
Applying descartes rule of signs to determine the number or real positive & negative zeros
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number
From playlist How to Use Descartes Rules of Signs
Darboux Integral Definition In this video, I define the integral the way it's taught in advanced math courses and which is more intuitive than the Riemann integral. Then I show that continuous functions are Darboux integrable. YouTube channel: https://youtube.com/drpeyam TikTok: https:/
From playlist Real Analysis
Oleg Lazarev - Simplifying Weinstein Morse functions
June 29, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry II
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - Philippe Nabonnand - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Élie Cartan suit le cours de géométrie de Gaston Darboux Philippe Nabonnand, Archives Henri Poincaré, Université de Lorraine) À l’occasion du centenaire de la mort de Gaston Darboux, l’Institut Henri Poincaré souhaite
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
Interplay of symmetries and other integrability quantifiers in finite by Lakhsmanan Muthusamy
DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (
From playlist The Legacy of Emmy Noether
Learn how to use Descartes rule of signs and the fundamental theorem of algebra
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number
From playlist How to Use Descartes Rules of Signs
Use descartes rule of signs to find the number of positive and negative real zeros
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number
From playlist How to Use Descartes Rules of Signs
Analysis III - Integration: Oxford Mathematics 1st Year Student Lecture:
The third in our popular series of filmed student lectures takes us to Integration. This is the opening lecture in the 1st Year course. Ben Green both links the course to the mathematics our students have already learnt at school and develops that knowledge, taking the students to the next
From playlist Oxford Mathematics 1st Year Student Lectures
Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case - Nikhil Savale
Symplectic Dynamics/Geometry Seminar Topic: Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case Speaker: Nikhil Savale Affiliation: University of Cologne Date: October 28, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - David Rowe - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Wartime Memories of Gaston Darboux in Göttingen David Rowe, Université de Mayence, Allemagne À l’occasion du centenaire de la mort de Gaston Darboux, l’Institut Henri Poincaré souhaite retracer la figure du géomètre s
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
De Moivre's formula: a COOL proof
A quick way of proving De Moivre's formula! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Hi again everyone, Chris Tisdell here again. In this presentation I am going to continue my series of videos on complex numbers. In particular, in this presentation, I am g
From playlist Intro to Complex Numbers