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/2012.11814
This video was animated using the Manim extension of Python, developed by the Manim community, and originally created by Grant Sanderson
github.com/ManimCommunity/manim
A proof of Jordan curve Theorem can be found in:
www.maths.ed.ac.uk/~v1ranick/...
The creation of this video was partially supported by Penn State University

[@barak363363]

Just in time! I really needed that! Thanks!

[@petterlarsson7257]

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

[@agiri891]

you are seriously underrated

[@dylanparker130]

Enjoyed this - thank you for making it.

[@fuziyang7502]

Really good tutorial. Thanks for making this.

[@BCarli1395]

Thank you. Well done.

[@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