Introduction to Knots & Invariants

A brief introduction to knot theory, Reidemeister moves, and invariants (with fixed audio).

Check out Dr. Bosman's playlist of Knot Theory lectures:

[arnav]

Manim is the best thing to have happened to YouTube, I swear.

[WV-mxdr]

Great now I will forever think of Reidermeister moves every time I fight with an extension cord.

[gegiojonjongegio]

Why does this video have so few views? This is so well edited and explained... Thank you for making these vids

[dancinglazer]

This video is gold for recreational mathematians like myself! Great work Dr Bosman

[AndresFirte]

Someone shared this video on reddit, now I´m in love with knot theory. Thanks for the video!

[stanislavzakharov]

I am freshman in physics and i couldn't help but screaming "bruh" when you introduced determinants, wasn't prepared for that.

[ricbisa]

What a fantastic video, I started at my university a seminary about Knot Theory and got the motivation thanks to you!! Keep doing this amazing videos :D

[cosmotalk]

Great Explanation abt Knot Theory, just what I needed for my "Applications of knot Theory Mapped onto Möbius Strip"!, Thanks.

[keamogetswerakgolela]

Hi, Im not in any university. I just study mathematics for fun. This seems cool

[유현수-ru]

Thanks for a great video! I'm undergraduate student and this looks so appealing to me. If you add subtitle in your videos, I appriciate it and you might be more views..

[和平和平-ci]

Since there is only 4 components in the figure-8 knot, I wonder why we say that 5 colors are required for its coloring. (9:16) I guess I have to watch the next video to understand that ! (suspense...)

[StaticBlaster]

I suspect all of these complex abstract topological concepts are integral to the mathematics of string (M)-theory.

[russelltwells]

Is it possible there is a link between crop circles and knot theory as there are some striking characteristics

[hole]

Why delete a row and column from the matrix?

[tiffanym]

Can someone explain the difference between the poke and slide reidemeister moves? They look like the same thing topologically

[iamnoant]

I am planning to create some tutorials and would like to add animations. Can you please share on how you made the animations? Programming language, libraries used? Thank you.

[danielbaisch]

Is there a video that explains vassiliev invariants?

[mugiwara-no-luffy]

nice video! also eerily similar to 3b1b type videos

[redandblue]

I'm curious how this theory about linked knots tells us about real knots that are usually made from rope which isnt a circle joined together

[suhana.a.a]

Sir, will you please recommend me a reference textbook on knot theory?