I am not a mathematician, but I've employed applied mathematics to physical problems. Like so many of Sean B's videos, this one is a delightfully edifying illumination of the history and character of the concepts of differential geometry of curved surfaces and manifolds, a very clarifying video ideal for use along with textbooks (for the computational details) when learning the mathematics needed to describe and compute within the many branches of physical science. I Sure could have made good use of these videos when I was a student decades ago!

@physicsforstudents

2 жыл бұрын

Thank Sir. Your words are really wonderful. Motivating.... I am also planning to make a complete video on the history of Manifold. Thank you very much again for your motivation. Thanks Sir.

Superb intro to the subject. Thanks a lot!

@physicsforstudents

9 ай бұрын

You are welcome. You can also look into the other videos of differential geometry. Thanks for your comment.

Very interesting

It is a very interesting video. Thank you for the great effort and nice pictures and animations because you gave me another geometric perception of .manifolds.

@physicsforstudents

9 ай бұрын

You are welcome. Thank you for watching this video and putting up the comment. Keep watching....

These videos helps me alot,,, continue with your work Sean B, may God bless you more

@physicsforstudents

2 жыл бұрын

Thank you very much. I will continue making fundamental concepts of differential geometry. Your words are really motivating.

Very Good session

@physicsforstudents

4 ай бұрын

Thank you

@preetychauhan4642

4 ай бұрын

Plz sir manifold se related sare topics Kara dijiye...

J'ai apprécié vraiment votre vidéo ! Sa ma donné une nouvelle goût à la géométrie différentielle .

@physicsforstudents

9 ай бұрын

Merci. Je suis heureux que cela vous ait plu. Veuillez vous abonner et rester à l'écoute car je ferai plus de vidéos sur la géométrie différentielle. Merci pour votre commentaire.

@BerRi-qz8pj

9 ай бұрын

@@physicsforstudents merci beaucoup

Outstanding 😍 teacher... fabulous explanation

@physicsforstudents

Жыл бұрын

Thank you very much.

Best explanation

@physicsforstudents

2 жыл бұрын

Thank you very much 💗 I would be making more videos on differential geometry.

Thanks for explaining

@physicsforstudents

2 жыл бұрын

You are welcome. I will be making the second part on certain more concepts of differential geometry. My next video on Maxwell's Equations will reveal one more important fact. Thanks again for your feedback.

Thanks for your trace along the Möbius band. When used as a transmission belt in your other picture, the surface wear along the length of this Möbius belt is ½ that of an untwisted belt.

@physicsforstudents

2 жыл бұрын

Thank you for detailed observation. Are you a math major? This is not done yet. I am planning to make a detailed video on the History of Manifold. If you go to my History of Science playlist you will find some interesting videos. One of the History of General Relativity and the friendship between Einstein and Godel.

@ojas3464

2 жыл бұрын

@@physicsforstudents I'm a retired Mathematician, enjoying recreational Mathematics inter alia. Always curious to follow the evolution of Mathematics presentation, in light of technological resources, expressive power of current Mathematical language, etc. During my student days, Fermat's big theorem still was unproven; So was Poincare conjecture. Thanks for replying to my comment☺

@physicsforstudents

2 жыл бұрын

@@ojas3464 Fermat's theorem is proved by Prof. Andrew Wiles and Poincare conjecture by my favorite mathematician Dr. Perelman. Perelman influenced me so much that I created a podcast on him, The Saint of Mathematics. You can find it in my playlist. Fascinating!!!! Thank you very much for watching my videos. Please keep an eye on further updates.

That is for sure an advance topic 😁😉😉

@physicsforstudents

2 жыл бұрын

Kindly watch it. Thanks

@dlrmfemilianolako8

2 жыл бұрын

@@physicsforstudents i am watching it ....

Congratulation! Very through explanation about Manifolds, using Loring and Lee books. Still waiting for FA videos

@physicsforstudents

2 жыл бұрын

FA videos? I don't remember I consider Lee. Most of it are from class notes. However..... Thank you very much for watching. Your words are really motivating. Thank you again.

@kamalhaider397

2 жыл бұрын

@@physicsforstudents I m using Lee and loring books as a self taught. However your lecture was extremely useful. Previously I requested to make FA lectures as well please

@physicsforstudents

2 жыл бұрын

What is FA ? Can you please explain me the abbreviation. Thank you very much 💗💗 I am very happy that you are finding my lectures useful. Please share my videos. Thank you again.

Thanks, for making a detailed video. If you may consider kindly making videos on how quaternions rotate? In the book visualizing quaternions the author andrew hason gives the demonstration of dirac delt trick (originally used to demonstrate electron spin) Is electron spin related to quaternions? Is the demonstration of dirac belt trick (2pi and 4pi rotation) related to mobius strip?

@physicsforstudents

2 жыл бұрын

Thank you very much for your comment. Regarding Quaternion I have never thought about it. I will. Thank you very much 💖

@physicsforstudents

2 жыл бұрын

Yes there is a relation. On October 16, 1843 while talking to his wife at the Royal Society of Dublin, Hamilton discovered Quaternion. Quantum mechanics represent particles as waves and as we rotate the particles, we rotate the waves.