Sheaf theory | Differential geometry
The adjective abstract has often been applied to differential geometry before, but the abstract differential geometry (ADG) of this article is a form of differential geometry without the calculus notion of smoothness, developed by and from 1998 onwards. Instead of calculus, an axiomatic treatment of differential geometry is built via sheaf theory and sheaf cohomology using vector sheaves in place of bundles based on arbitrary topological spaces. Mallios says noncommutative geometry can be considered a special case of ADG, and that ADG is similar to synthetic differential geometry. (Wikipedia).
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
What are Exact Differential Equations (Differential Equations 28)
https://www.patreon.com/ProfessorLeonard An explanation of the origin, use, and solving of Exact Differential Equations
From playlist Differential Equations
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
Introduction to Differential Equation Terminology
This video defines a differential equation and then classifies differential equations by type, order, and linearity. Search Library at http://mathispower4u.wordpress.com
From playlist Introduction to Differential Equations
Solve the general solution for differentiable equation with trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
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
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
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
Lecture 14: Discrete Surfaces (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
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
Learn Math Beyond Calculus || 5 Different Subjects
In this video I go over 5 math books that cover 5 different subjects that are typically studied beyond calculus. These topics all have certain pre-reqs but nothing says you can't just jump in and learn what you can! The topics are Linear Algebra, Real and Complex Analysis, Differential Geo
From playlist Book Reviews
Differential Equations: Linearity
Linearity is crucial throughout mathematics. In this video, I demonstrate the linearity of linear differential equations and explain why it can be useful. This video is the first precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
Alex Bellos: PDE's and Geometric analysis explained
Alex Bellos, popular presenter explains the basic concepts behind John Nash and Louis Nirenberg's Abel Prize. This clip is a part of the Abel Prize Announcement 2015. You can view Alex Bellos own YouTube channel here: https://www.youtube.com/user/AlexInNumberland
From playlist Popular presentations
Math Books From Floor To Ceiling
In this video I go over some of my math books! Please subscribe, like, and share. Thank you:) Here are the books. Abstract Algebra by Pinter https://amzn.to/3QviWF4 Functional Analysis by Bachman and Narici https://amzn.to/3Pr2kg4 Statistics by Weatherburn https://amzn.to/3C8OkVw Probabil
From playlist Book Reviews
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
The Abel Prize announcement 2015 - John Nash & Louis Nirenberg
0:42 The Abel Prize announced by Kirsti Strøm Bull, President of The Norwegian Academy of Science and Letters 2:31 Citation by John Rognes, Chair of the Abel committee 8:50 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 23:09 Phone i
From playlist The Abel Prize announcements
Markus Rosenkranz Talk 2 7/7/14 Part 1
Title: A Differential Algebra Approach to Linear Boundary Problems
From playlist Spring 2014
A Look at Some Higher Level Math Classes | Getting a Math Minor
STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Versión en español de este video: https://www.youtube.com/watch?v=qalzBKUllcU Instagram: https://www.instagram.com/zachstar/ Twitter: ht
From playlist Math Major
Lecture 5: 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
Charles Fefferman : Whitney problems and real algebraic geometry
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Analysis and its Applications