Subjects / Knot theory
Best books to learn Knot theory, in order
Knot theory asks when two knotted loops in space are really the same knot, and it is unusual among research-level mathematics in having a genuinely accessible front door: you can do real work with pictures and Reidemeister moves before you meet a single group presentation. This path exploits that.
Reading paths for knot theory
Best Books to Learn Knot Theory, in Order
Intermediate12books89 hrs4 stages
Popular knot theory books
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Frequently asked questions
- How should I approach learning knot theory?
- Knot theory asks when two knotted loops in space are really the same knot, and it is unusual among research-level mathematics in having a genuinely accessible front door: you can do real work with pictures and Reidemeister moves before you meet a single group presentation. This path exploits that.
- What's a good book to start knot theory with?
- A strong starting point is Knots and surfaces by N. D. Gilbert. The ordered reading paths above show exactly where it fits and what to read next.
- What should I read after knot theory?
- Once you have the fundamentals, explore closely related subjects like Galois theory.