The SECOND of the seven beauties! The integral of the curvature normal over a curve.

[@paulbaker916]

Your delivery is so good on so many levels. Thanks for continuing to upload this content.

[@MathTheBeautiful]

Thank you!

[@orsoncart802]

“A course in analysis is really a course in paranoia because all the focus is on what can go wrong.” Not verbatim but that’s a great quote! So true! 😁👍

[@peterhall6656]

73 year old functional analyst here - I inhaled a coffee when he said that - it is soooo true!! By the way - nice lecture.

[@Physics22KU]

High quality lectures delivered for free. KZbin is the best thing to happen to e-learning. !

[@MathTheBeautiful]

Thank you!

[@GazD-b8d]

Thanks so much for your work Pavel. I struggled with tensor calculus for years before reading your book -- it's opened up an amazing world for me. BTW, on this video I think you drew the +- signs incorrectly around 4:37.

[@MathTheBeautiful]

Thank you for you kinds words! And yes, you're right, I batted .500 there. But then I think I said it right.

[@Pluralist]