New Video Course on General Topology on YouTube

  • #1
caffeinemachine
Gold Member
MHB
816
15
Hello Everyone!
I created a YouTube channel (here's the link) a few years ago in which I post detailed lectures in mathematics.
I just started a series on General Topology. Following is a snapshot from a video.
2024-01-21_20-44.png

I mean to deliver a comprehensive course with a lot of pictures and intuition and rigorous proofs.

Apart from that, so far I have uploaded
  • A complete course in Linear Algebra.
  • A Kickstart series as a bridge between high school and college math.
  • A course on Real Analysis (which I am currently renovating).
  • Some material for preparation of Math Olympiads.
  • I am also converting my videos to have a light background.
  • Some other courses (like group theory) which require renovation.
Almost every lecture starts with problems for practice.
I hope that the people here would find the content useful and interesting.
 
  • Like
Likes WWGD, jedishrfu and Greg Bernhardt
Physics news on Phys.org
  • #2
Thanks for sharing your work here. I'm always interested in learning new math and this should be a treat. Thank you. :-)

In case you interested in modernizing your videos even more:

Several math youtubers have been using the python-based Manim library for their animation work. The library was developed and first used by 3brown1blue math creator (Grant Sanderson) for his math videos.

https://www.manim.community/

and docs related to running and installing it:

https://docs.manim.community/en/stable/

On Github you can find Grant's personal Manim code that he develops independently of the community edition of the Manin community:

https://github.com/3b1b/manim
 
Last edited:
  • Like
Likes WWGD and PeroK
  • #3
jedishrfu said:
Thanks for sharing your work here. I'm always interested in learning new math and this should be a treat. Thank you. :-)

In case you interested in modernizing your videos even more:

Several math youtubers have been using the python-based Manim library for their animation work. The library was developed and first used by 3brown1blue math creator (Grant Sanderson) for his math videos.

https://www.manim.community/

and docs related to running and installing it:

https://docs.manim.community/en/stable/

On Github you can find Grant's personal Manim code that he develops independently of the community edition of the Manin community:

https://github.com/3b1b/manim
Thank you for the suggestion.
I tried Manim for a bit but found that the time it takes to make one video using manim is way more than what I can do in the handwritten style.
Maybe when my coding skills improve Manim would be an option.
 

1. What topics are covered in the new video course on General Topology on YouTube?

The video course covers a wide range of topics in General Topology, including basic concepts such as topological spaces, continuity, compactness, and connectedness. It also delves into more advanced topics like separation axioms, metrizability, and topological properties of function spaces.

2. Who is the target audience for the General Topology video course on YouTube?

The video course is designed for anyone interested in learning about General Topology, from beginners to more advanced learners. It is suitable for students studying mathematics, as well as researchers and professionals looking to deepen their understanding of topology.

3. How are the lectures structured in the General Topology video course on YouTube?

The lectures in the video course are structured in a clear and organized manner, starting with foundational concepts and building up to more complex topics. Each lecture is accompanied by visual aids and examples to help illustrate the concepts being discussed.

4. Are there any prerequisites for taking the General Topology video course on YouTube?

While there are no strict prerequisites for taking the video course, a basic understanding of set theory and mathematical proof techniques would be beneficial. Familiarity with concepts from real analysis and abstract algebra may also be helpful, but is not required.

5. How can I access the General Topology video course on YouTube?

The General Topology video course is available for free on YouTube. Simply search for the course title on the YouTube platform to access the full playlist of lectures. You can watch the lectures at your own pace and revisit them as needed to reinforce your understanding of the material.

Similar threads

  • Topology and Analysis
Replies
4
Views
973
  • Linear and Abstract Algebra
Replies
7
Views
1K
  • Topology and Analysis
Replies
25
Views
3K
  • Science and Math Textbooks
Replies
7
Views
1K
  • Special and General Relativity
Replies
12
Views
1K
Replies
3
Views
123
Replies
7
Views
132
Replies
2
Views
945
  • STEM Academic Advising
Replies
7
Views
2K
Replies
3
Views
49
Back
Top