Classical curves | Differential Geometry 1 | NJ Wildberger
The first lecture of a beginner's course on Differential Geometry! Given by Prof N J Wildberger of the School of Mathematics and Statistics at UNSW. Differential geometry is the application of calculus and analytic geometry to the study of curves and surfaces, and has numerous applications
From playlist Differential Geometry
An introduction to surfaces | Differential Geometry 21 | NJ Wildberger
We introduce surfaces, which are the main objects of interest in differential geometry. After a brief introduction, we mention the key notion of orientability, and then discuss the division in the subject between algebraic surfaces and parametrized surfaces. It is very important to have a
From playlist Differential Geometry
The differential calculus for curves, via Lagrange! | Differential Geometry 4 | NJ Wildberger
We rejuvenate the powerful algebraic approach to calculus that goes back to the work of Newton, Euler and particularly Lagrange, in his 1797 book: The Theory of Analytic Functions (english translation). The idea is to study a polynomial function p(x) by using translation and truncation to
From playlist Differential Geometry
Differential Equations: Lecture 1.1-1.2 Definitions and Terminology and Initial Value Problems
This is an actual classroom lecture. This is the very first day of class in Differential Equations. We covered most of Chapter 1 which is mainly definitions, terminology, and initial value problems. Just tons of theory here. There are lots of notes and tons of definitions in this lecture.
From playlist Differential Equations Full Lectures
Parametrized curves and algebraic curves | Differential Geometry 3 | NJ Wildberger
This lecture discusses parametrization of curves. We start with the case of conics, going back to the ancient Greeks, and then move to more general algebraic curves, in particular Fermat's cubic, the Folium of Descartes and the Lemniscate of Bernoulli. We talk about the 17th century's fa
From playlist Differential Geometry
Differential Equations and Dynamical Systems: Overview
This video presents an overview lecture for a new series on Differential Equations & Dynamical Systems. Dynamical systems are differential equations that describe any system that changes in time. Applications include fluid dynamics, elasticity and vibrations, weather and climate systems,
From playlist Engineering Math: Differential Equations and Dynamical Systems
Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions
Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions: A review of Differentials from Calculus 1 and an extrapolation towards Differentials with more than 1 Independent Variable. Focus will be on the derivation of the idea of Differentials and the application of Diff
From playlist Calculus 3 (Full Length Videos)
Title: Density of Rational Points on Transcendental Varieties
From playlist Differential Algebra and Related Topics VII (2016)
A brief history of geometry II: The European epoch | Sociology and Pure Mathematics | N J Wildberger
Let's have a quick overview of some of the developments in the European story of geometry -- at least up to the 19th century. We'll discuss Cartesian geometry, Projective geometry, Descriptive geometry, Algebraic geometry and Differential geometry. This is meant for people from outside m
From playlist Sociology and Pure Mathematics
Pre-recorded lecture 1: Introduction. What is Nijenhuis Geometry?
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Differentiating a Continued Fraction
More resources available at www.misterwootube.com
From playlist Differential Calculus (related content)
Pre-recorded lecture 22: Open problems (part 2)
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Bruno Iochum: Spectral triples and Toeplitz operators
I will give examples of spectral triples constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in Cn, or the star product for the Berezin-Toeplitz quantization. The main tool is the theory of generalized Toeplitz operators on the boundary of
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
This video will show you math subjects that most people never see. Many of these subjects are graduate level but some are also undergraduate level. What other areas of math do you think most people never see? Leave a comment below:) All the Math You Missed: https://amzn.to/3ZCaebJ Applied
From playlist Book Reviews
Poisson tensors in non-commutative gravity
In this video I go through my master thesis. You can find all the links discussed here: https://gist.github.com/Nikolaj-K/ce2dd6b6da0fbd791529bc8dd9183a74 Links: http://othes.univie.ac.at/16190/ https://arxiv.org/abs/1111.2732 https://www.linkedin.com/in/nikolaj-kuntner-0138aa104/ http
From playlist Physics
Exceptional holonomy and related geometric structures: Basic theory - Simon Donaldson
Marston Morse Lectures Topic: Exceptional holonomy and related geometric structures: Basic theory. Speaker: Simon Donaldson Affiliation: Stonybrook University Date: April 3, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Differential Geometry | Math History | NJ Wildberger
Differential geometry arises from applying calculus and analytic geometry to curves and surfaces. This video begins with a discussion of planar curves and the work of C. Huygens on involutes and evolutes, and the related notions of curvature and osculating circle. We discuss involutes of t
From playlist MathHistory: A course in the History of Mathematics
Introduction to Differential Equations
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to Differential Equations - The types of differential equations, ordinary versus partial. - How to find the order of a differential equation.
From playlist Differential Equations
The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck
Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics