Coordinate systems for the hyperbolic plane

Computations with homogeneous coordinates | Universal Hyperbolic Geometry 8 | NJ Wildberger

We discuss the two main objects in hyperbolic geometry: points and lines. In this video we give the official definitions of these two concepts: both defined purely algebraically using proportions of three numbers. This brings out the duality between points and lines, and connects with our

From playlist Universal Hyperbolic Geometry

The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

Ex: Identifying the Coordinates of Points on the Coordinate Plane

This video explains how to determine the coordinates of points on the coordinate plane. Complete Video List at http://www.mathispower4u.com Search by Topic at http://www.mathispower4u.wordpress.com

From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables

Hyperbolic Coordinates

In this video, I introduce the hyperbolic coordinates, which is a variant of polar coordinates that is particularly useful for dealing with hyperbolas (and 3 dimensional versions like hyperboloids of one sheet or two sheets). Suprisingly (or not), they involve the hyperbolic trig functions

From playlist Double and Triple Integrals

Introduction to Hyperbolic Functions

This video provides a basic overview of hyperbolic function. The lesson defines the hyperbolic functions, shows the graphs of the hyperbolic functions, and gives the properties of hyperbolic functions.

From playlist Using the Properties of Hyperbolic Functions

The Equations of the Coordinate Planes in R3

This video identifies the three coordinate planes in the 3D coordinate system. Site: http://mathispower4u.com

From playlist Equations of Planes and Lines in Space

The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

Introduction to Hyperbolic Functions

This video provides a basic overview of hyperbolic function. The lesson defines the hyperbolic functions, shows the graphs of the hyperbolic functions, and gives the properties of hyperbolic functions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Differentiation of Hyperbolic Functions

PUBLIC LECTURE: Ergodic behavior in Negative curvature by Patrick Eberlein

Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma

From playlist Geometry Topology and Dynamics in Negative Curvature

Matti Lassas - Inverse problems for Einstein’s equations and other non-linear hyperbolic equations

Recorded 29 October 2021. Matti Lassas of the University of Helsinki presents "Inverse problems for Einstein’s equations and other non-linear hyperbolic equations" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: We consider inverse problems for non-linea

From playlist Workshop: Mathematical and Numerical Aspects of Gravitation

Quadratic differentials and measured foliations on Riemann surfaces by Subhojoy Gupta

Program : Integrable? ?systems? ?in? ?Mathematics,? ?Condensed? ?Matter? ?and? ?Statistical? ?Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

Introduction to Cylindrical Coordinates

This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

Cubic surfaces and non-Euclidean geometry - William Goldman

Members’ Colloquium Topic: Cubic surfaces and non-Euclidean geometry Speaker: William Goldman Affiliation: University of Maryland; Member, School of Mathematics Date: January 24, 2022 The classification of geometric structures on manifolds naturally leads to actions of automorphism group

From playlist Mathematics

A brief history of Geometry III: The 19th century | Sociology and Pure Mathematics | N J Wildberger

The 19th century was a pivotal time in the development of modern geometry, actually a golden age for the subject, which then saw a precipitous decline in the 20th century. Why was that? To find out, let's first overview some of the main developments in geometry during the 1800's, includin

From playlist Sociology and Pure Mathematics

Live CEOing Ep 688: Language Design in Wolfram Language [SphericalDistance, LevelMap, and More]

In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram

From playlist Behind the Scenes in Real-Life Software Design

An Intuitive Introduction to Projective Geometry Using Linear Algebra

This is an area of math that I've wanted to talk about for a long time, especially since I have found how projective geometry can be used to formulate Euclidean, spherical, and hyperbolic geometries, and a possible (and hopefully plausible) way projective geometry (specifically the model t

From playlist Summer of Math Exposition 2 videos

Ahlfors-Bers 2014 "Computing the image of Thurston's skinning map"

David Dumas (UIC): Thurston's skinning map is a holomorphic map between Teichmüller spaces that arises in the construction of hyperbolic structures on compact 3-manifolds. I will describe the theory and implementation of a computer program that computes the images of skinning maps in some

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

A problem in Elementary Geometry - Michael Atiyah [2011]

Name: Michael Atiyah Event: SCGP Weekly Talk Title: A problem in Elementary Euclidean Geometry Date: 2011-10-25 @1:00 PM Location: 103 Abstract: Over a decade ago I stumbled across a new and apparently very elementary problem in Euclidean Geometry involving n distinct points in 3-space. E

From playlist Mathematics

Coordinate plane

A brief overview of the Cartesian plane

From playlist Geometry: Cartesian Plane

Dynamics on character varieties - William Goldman

Character Varieties, Dynamics and Arithmetic Topic: Dynamics on character varieties Speaker: William Goldman Affiliation: University of Maryland; Member, School of Mathematics Date: November 17, 2021 In these two talks, I will describe how the classification of locally homogeneous geomet

From playlist Mathematics