I want to study Knot theory in the summer break. What are some good resources on this topic? My background is a a first course in Analysis and Linear Algebra, and Hatcher's notes on point-set topology. Also, what should I study next, and from where, to be sufficiently prepared for learning Knot theory? I am interested in learning some Algebraic Topology as well.

  • You can look at Rolfsen's Knots and Links and Hatcher's Algebraic Topology – Max Dec 18 '16 at 18:52
  • An introduction to knot theoery of R. Lickorish – janmarqz Dec 18 '16 at 19:47
  • You really should start with some algebraic topology. – Mike Miller Dec 19 '16 at 8:18

The best introduction to the subject I know is The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots by Colin C. Adams (AMS). I recommend it without hesitation. From there you can proceed to more advanced and formal texts.

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