Gauss circle problem

Gaussian Integral 7 Wallis Way

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a technique that is very similar to the

From playlist Gaussian Integral

Gaussian Integral 5 Volumes

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a Fubini-type argument, namely by calcu

From playlist Gaussian Integral

Joe Neeman: Gaussian isoperimetry and related topics II

The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

Gauss's view of curvature and the Theorema Egregium | Differential Geometry 35 | NJ Wildberger

In this video we discuss Gauss's view of curvature in terms of the derivative of the Gauss-Rodrigues map (the image of a unit normal N) into the unit sphere, and expressed in terms of the coefficients of the first and second fundamental forms. We have a look at these equations for the spec

From playlist Differential Geometry

Gaussian Integral 8 Original Way

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I present the classical way using polar coordinates, the one that Laplace original

From playlist Gaussian Integral

Theory of numbers: Gauss's lemma

This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di

From playlist Theory of numbers

PUSHING A GAUSSIAN TO THE LIMIT

Integrating a gaussian is everyones favorite party trick. But it can be used to describe something else. Link to gaussian integral: https://www.youtube.com/watch?v=mcar5MDMd_A Link to my Skype Tutoring site: dotsontutoring.simplybook.me or email dotsontutoring@gmail.com if you have ques

From playlist Math/Derivation Videos

Physics 37.1 Gauss's Law Understood (17 of 29) Why Does Shape Matter?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain why certain shapes do not lend themselves to the Gaussian surface for finding the strength of the electric field a certain point away from the source from were the charges are located. Next v

From playlist PHYSICS 37.1 GAUSS'S LAW EXPLAINED

Jeff Erickson - Lecture 1 - Two-dimensional computational topology - 18/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 1 Abstract: This series of lectures will describe recent

From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

The Amazing Heptadecagon (17-gon) - Numberphile

More on the math behind this: http://youtu.be/oYlB5lUGlbw Catch David on the Numberphile podcast: https://youtu.be/9y1BGvnTyQA More links & stuff in full description below ↓↓↓ Professor David Eisenbud - director of MSRI - on the amazing 17-gon and its link to Gauss. See end of this video

From playlist Director's Cut on Numberphile

4. Gauss's Law and Application to Conductors and Insulators

For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu. Fundamentals of Physics, II (PHYS 201) Lecture begins with a recap of Gauss's Law, its derivation,

From playlist Fundamentals of Physics II with Ramamurti Shankar

Frank Morgan: Isoperimetry with density

Abstract : In 2015 Chambers proved the Log-convex Density Conjecture, which says that for a radial density f on Rn, spheres about the origin are isoperimetric if and only if log f is convex (the stability condition). We discuss recent progress and open questions for other densities, unequa

From playlist Control Theory and Optimization

New and old results in the classical theory of…surfaces in Euclidean 3-space R^3 - Bill Meeks

Members' Seminar Topic: New and old results in the classical theory of minimal and constant mean curvature surfaces in Euclidean 3-space R^3 Speaker: Bill Meeks Affiliation: University of Massachusetts Amherst Date: October 22, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

Visual Group Theory, Lecture 6.8: Impossibility proofs

Visual Group Theory, Lecture 6.8: Impossibility proofs The ancient Greeks sought basic ruler and compass constructions such as (1) squaring the circle, (2) doubling the cube, and (3) trisecting an angle. In the previous lecture, we learned how a length or angle 'z' is constructable iff th

From playlist Visual Group Theory

Physics 37.1 Gauss's Law Understood (3 of 29) What is Gauss' Law?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Gauss' Law: If an imaginary sphere is placed around a point charge, with the point charge at the center of the sphere then Gauss' Law can be defined by the equation EA=Q(inside)/epsilo

From playlist PHYSICS 37.1 GAUSS'S LAW EXPLAINED

Why there are no perfect maps (and why we eat pizza the way we do)

Have you ever wondered why you've never seen a perfect map? Or why bending the side of your pizza keeps the toppings from falling off? Surprisingly, these two everyday phenomena can be explained by one abstract mathematical theorem: Gauss' amazing Theorema Egregium. This video is a submi

From playlist Summer of Math Exposition 2 videos

Lecture: Eigen-decompositions and Iterations

We develop a theoretical approach to understanding how eigen-decompositions of matrices can be used in iterative schemes for Ax=b.

From playlist Beginning Scientific Computing

NUMBERS: "i", the Number of Heaven | Five numbers that changed the world | Cool Math

NUMBERS - secrets of Math. Mathematics is shrouded behind a veil and does not easily reveal itself. Students resort to rote memorization of math formulas to solve problems in a boring exercise of the mind that is also repetitive. However, if you knew the history of mathematics, the way the

From playlist Civilization

Physics - E&M: Maxwell's Equations (3 of 30) Gauss' Law: A Closer Look

Visit http://ilectureonline.com for more math and science lectures! In this video I will take a closer look at Gauss' Law.

From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3

JEE Advanced Physics 2015 Paper 1 #1 (#1) Electric Flux

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 Given: An infinitely long uniform line charge distribution of charge per unit length, lambda, lies parallel to the y-axis in the y-z

From playlist JEE (ADVANCED) PHYSICS E&M