Differential Geometry - 1 - Curves x Definitions and Technicalities

What is Differential Geometry? Curves and Surfaces is a course in basic differential geometry focused on problem solving and aimed towards research level geometry.
arxiv.org/abs/...
A proof of Jordan curve Theorem can be found in:
www.maths.ed.a...
This video was animated using the Manim extension of Python, developed by the Manim community, and originally created by Grant Sanderson: github.com/Man...
The code used for this video can be found in the repository: github.com/zam...
Music:
Prairie Song - Gavin Luke
Amber Hibernation - Lama House
Moon Rain - ELFL
The creation of this video was partially supported by Penn State University

[@petterlarsson7257]

I understood 28.75640274627467015562091% of what you said but I still enjoyed it

[@barak363363]

Just in time! I really needed that! Thanks!

[@agiri891]

you are seriously underrated

[@aboveskyphysics]

Good video! Just a minor thing: at 2:55, the movement of the point doesn't match given equations. It should be at the origin for t=-infty, go to the left side at infty as t goes to 0-, jump to the origin for t=0 and then flip to the right part at infty for t=0+, and back to 0 as t goes to +infty. It is therefore not continuous in 0. But we get the idea and it is easy to build the desired mapping from there. 😊

[@what-is-math]

You made me doubt myself 😅
But they are correct! As t approaches 0 from the left, 1/t is very negative, therefore e^(1/t) is close to 0.

[@aboveskyphysics]

@@what-is-math You are perfectly right. My comment was indeed totally stupid, sorry about that!

[@dylanparker130]

Enjoyed this - thank you for making it.

[@fuziyang7502]

Really good tutorial. Thanks for making this.

[@XrcyhikUbhdfbjdf]

Thomas Nancy Anderson Scott Young Betty

[@minma02262]

HOLLY MOLLY! THANK YOU! THANK YOU! THANK YOU!

[@bradzoltick6465]

I wish you would drop the background music. It is both distracting and annoying. Otherwise, your animations are beautiful. Great job.

[@what-is-math]

Thank you. The real problem is my editing skills. Trying to get better at that specifically

[@Abdalrhman_Kilesee]

I agree

[@DivineScaleOfGod]

The piano song was beautiful

[@what-is-math]

Prairie Song - Gavin Luke

[@BCarli1395]

Thank you. Well done.