Differential geometry | Differential topology

Glossary of differential geometry and topology

This is a glossary of terms specific to differential geometry and differential topology. The following three glossaries are closely related: * Glossary of general topology * Glossary of algebraic topology * Glossary of Riemannian and metric geometry. See also: * List of differential geometry topics Words in italics denote a self-reference to this glossary. (Wikipedia).

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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

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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

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Calculus 1 Differentials part 1

Calculus 1 Differentials part 1

From playlist Calculus 1

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Algebraic topology: Introduction

This lecture is part of an online course on algebraic topology. This is an introductory lecture, where we give a quick overview of some of the invariants of algebraic topology (homotopy groups, homology groups, K theory, and cobordism). The book "algebraic topology" by Allen Hatcher men

From playlist Algebraic topology

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Introduction to Complex Differential Geometry -- Lecture 1 -- Intuition and Definition of Manifolds

I recently completed my Ph.D. under the supervision of Ben Andrews at the Australian National University and Gang Tian at Beijing and Princeton University. My Ph.D. thesis was in the subject of complex differential geometry, the interplay between complex analysis, algebraic geometry, and d

From playlist Research Lectures

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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

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Lecture 8: Discrete Differential Forms (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

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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

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Solid state physics and SLT Pt 1 - Singular Learning Theory Seminar 33

This seminar is the first of a two part series exploring the connection between solid state physics and statistical learning theory. It starts with a broad overview of solid state physics, using the examples semiconductors and the magic angle in twisted bilayer graphene to motivate. The wa

From playlist Singular Learning Theory

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Michael Atiyah: Poincaré conjecture, Hodge conjecture, Yang-Mills, Navier-Stokes [2000]

Millennium Meeting These videos document the Institute's landmark Paris millennium event which took place on May 24-25, 2000, at the Collège de France. On this occasion, CMI unveiled the "Millennium Prize Problems," seven mathematical quandaries that have long resisted solution. The announ

From playlist Number Theory

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Math Major Guide | Warning: Nonstandard advice.

A guide for how to navigate the math major and how to learn the main subjects. Recommendations for courses and books. Comment below to tell me what you think. And check out my channel for conversation videos with guests on math and other topics: https://www.youtube.com/channel/UCYLOc-m8Wu

From playlist Math

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Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L1) by Sunil Mukhi

Seminar Lecture Series - Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri Speaker: Sunil Mukhi (IISER Pune) Date : Mon, 20 March 2023 to Fri, 21 April 2023 Venue: Online (Zoom & Youtube) ICTS is pleased to announce special lecture series by Prof. Sunil Mukh

From playlist Lecture Series- Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri -2023

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Gallai-Edmonds Percolation by Kedar Damle

DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December

From playlist Statistical Physics of Complex Systems - 2022

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Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry Part 1

At the start of the 20th century, David Hilbert asked which representations can arise by studying the monodromy of Fuchsian equations. This question was the starting point for a beautiful circle of ideas relating the topology of a complex algebraic variety X to the study of algebraic diffe

From playlist Felix Klein Lectures 2022

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What is a manifold?

I define topological manifolds. Motivated by the prospect of calculus on topological manifolds, I introduce smooth manifolds. At the end I point out how one needs to change the definitions, to obtain C^1 or even complex manifolds. To learn more about manifolds, see Lee's "Introduction to

From playlist Differential geometry

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Sir Michael Atiyah, What is a Spinor ?

Sir Michael Atiyah, University of Edinburgh What is a Spinor?

From playlist Conférence en l'honneur de Jean-Pierre Bourguignon

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