Knots and surfaces I | Algebraic Topology | NJ Wildberger
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- čas přidán 27. 07. 2024
- This lecture is an introduction to knot theory. We discuss the origins of the subject, show a few simple knots, talk about the Reidemeister moves, and then some basic invariants, namely minimal crossing number, linking number (for links) and then the Alexander-Conway polynomial.
This is part of a beginner's course on Algebraic Topology, given by N J Wildberger at UNSW.
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Screenshot PDFs for my videos are available at the website wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at www.researchgate.net/profile/...
My blog is at njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!
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Here are all the Insights into Mathematics Playlists:
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Listening to your lectures while I work inspires me. Thankyou Professor Wildberger.
Thank you for posting this lecture! I am currently working on a senior project about knot theory without any lectures. This is very helpful and is making my life a lot easier.
This really helped my Mathematical Exploration in IB Diploma Progaramme! Thank you!
I only watched like one random video about knots and decided to look more into the subject. I searched 'knot theory' from CZcams and this video was on some playlist and I thought: "Grrreat! Wildberger has actually done a video about this! I can't wait to see this one." I have watched 33 minutes now and have really liked it. Easily understandable and this whole area feels like it could be a great field to try to advance in a more general sense. There are clearly a lot of questions still about knots.
(On a more personal note, I think this area of mathematics is maybe the furthest away from mathematics that can still be categorized as mathematics as I can think of. I dunno. Maybe it's just me. This whole area brings seamen and ships to my mind.)
Quite right, thank you. I meant to say `discrete union' in the def of a covering space.
Thank you for these videos! I am really enjoying them.
thank you for this lesson. it was very informative and easier to understand.
I love your videos Professor Wildberger. Would you consider a series on differential equations?
Thanks for these lectures, man! Math is awesome!!!!!!!!!
This video was so good
I suggest to just cite the url of the CZcams video.