Lemniscate elliptic functions

Complex analysis: Elliptic functions

This lecture is part of an online undergraduate course on complex analysis. We start the study of elliptic (doubly periodic) functions by constructing some examples, and finding some conditions that their poles and zeros must satisfy. For the other lectures in the course see https://www

From playlist Complex analysis

Complex analysis: Classification of elliptic functions

This lecture is part of an online undergraduate course on complex analysis. We give 3 description of elliptic functions: as rational functions of P and its derivative, or in terms of their zeros and poles, or in terms of their singularities. We end by giving a brief description of the a

From playlist Complex analysis

Definition of a Surjective Function and a Function that is NOT Surjective

We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht

From playlist Injective, Surjective, and Bijective Functions

What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

Some minimal submanifolds generalizing the Clifford torus -Jaigyoung Choe

Workshop on Mean Curvature and Regularity Topic: Some minimal submanifolds generalizing the Clifford torus Speaker: Jaigyoung Choe Affiliation: KIAS Date: November 5, 2018 For more video please visit http://video.ias.edu

From playlist Workshop on Mean Curvature and Regularity

Curves in Modern Times | Algebraic Calculus One | Wild Egg

This video introduces some key objects, and also challenges, when we move beyond the Greek tradition to the more modern view of "curves". This rests crucially on the development of analytic geometry, or Cartesian coordinates, by Fermat and Descartes in the 17th century. They, along with Jo

From playlist Algebraic Calculus One from Wild Egg

Lebesgue Integral Overview

In this video, I present an overview (without proofs) of the Lebesgue integral, which is a more general way of integrating a function. If you'd like to see proods of the statements, I recommend you look at fematika's channel, where he gives a more detailed look of the Lebesgue integral. In

From playlist Real Analysis

Rational Functions

In this video we cover some rational function fundamentals, including asymptotes and interecepts.

From playlist Polynomial Functions

The differential calculus for curves (II) | Differential Geometry 8 | NJ Wildberger

In this video we extend Lagrange's approach to the differential calculus to the case of algebraic curves. This means we can study tangent lines, tangent conics and so on to a general curve of the form p(x,y)=0; this includes the situation y=f(x) as a special case. It also allows us to deal

From playlist Differential Geometry

PreCalculus - Polar Coordinates (21 of 35) Graphing Polar Epns: r^2=(2^2)[sin2(theta)], Lemniscate

Visit http://ilectureonline.com for more math and science lectures! In this video I will graph polar equation r^2=(2^2)[sin2(theta)], the lemniscate. Next video in the polar coordinates series can be seen at: http://youtu.be/lbdYN9S9aPs

From playlist Michel van Biezen: PRECALCULUS 10 - POLAR COORDINATES

The Abel Prize announcement 2016 - Andrew Wiles

0:44 The Abel Prize announced by Ole M. Sejersted, President of The Norwegian Academy of Science and Letters 2:07 Citation by Hans Munthe-Kaas, Chair of the Abel committee 8:01 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 21:43 Pho

From playlist The Abel Prize announcements

Lebesgue Integral Example

As promised, in this video I calculate an explicit example of a Lebesgue integral. As you'll see, it's a much more efficient way of calculating the area under that curve. Finally, I'll present a really cool way of doing this problem. Enjoy! Note: Photo credit goes to Analysis of Fractal W

From playlist Real Analysis

2.11117 What is a rational function Functions

http://www.freemathvideos.com presents: Learn math your way. My mission is to provide quality math education to everyone that is willing to receive it. This video is only a portion of a video course I have created as a math teacher. Please visit my website to join my mailing list, downloa

From playlist Rational Functions - Understanding

Alex Bellos on Andrew Wiles and Fermat's last theorem

Popular presentation by Alex Bellos on Sir Andrew Wiles and on Fermat's last theorem. This clip is a part of the Abel Prize Announcement 2016. You can view Alex Bellos own YouTube channel here: https://www.youtube.com/user/AlexInNumberland

From playlist Popular presentations

PreCalculus - Polar Coordinates (20 of 35) Graphing Polar Eqns: r^2=(2^2)[cos2(theta)], Lemniscate

Visit http://ilectureonline.com for more math and science lectures! In this video I will graph polar equation r^2=(2^2)[cos2(theta)], the lemniscate. Next video in the polar coordinates series can be seen at: http://youtu.be/WzlQjURlikE

From playlist Michel van Biezen: PRECALCULUS 10 - POLAR COORDINATES

Nicholas Katz: Life Over Finite Fields

Abstract: We will discuss some of Deligne's work and its diophantine applications. This lecture was given at The University of Oslo, May 22, 2013 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2013 1."Hidden s

From playlist Abel Lectures

Completeness and Orthogonality

A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.

From playlist Mathematical Physics II Uploads

Andrew Wiles - The Abel Prize interview 2016

0:35 The history behind Wiles’ proof of Fermat’s last theorem 1:08 An historical account of Fermat’s last theorem by Dundas 2:40 Wiles takes us through the first attempts to solve the theorem 5:33 Kummer’s new number systems 8:30 Lamé, Kummer and Fermat’s theorem 9:10 Wiles tried to so

From playlist Sir Andrew J. Wiles

Definition of an Injective Function and Sample Proof

We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil

From playlist Injective, Surjective, and Bijective Functions

Curves we (mostly) don't learn in high school (and applications)

Get free access to over 2500 documentaries on CuriosityStream: http://go.thoughtleaders.io/1622820200203 (use promo code "zachstar" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachS

From playlist Applied Math