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.
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.