These notes are consequence of my self study; and are mostly inspired from Prof Anthony Bosman lectures. Also the book by Colin C. Adams was followed. These notes can be considered as a first course in Knot Theory; and builds up the general mathematical theory without much Physics.

It covers p-Coloring, Alexander Polynomial, Surfaces & Genus, Braids, Fundamental group, Knot group, Linking number, Local moves on Links, Jones Polynomial and Concordance.

These contains explicit calculation for the Knot Invariants using the closed form expression developed by P. Ramadevi and her colaborators; and also contains an explicit calculation over Masbaum formula of Cyclotomic expansion with  Bailey Chain sequence, and thus fianlly building a base for understanding the conjectured formula for Twist Knot Superpolynomials by Nawata-Ramadevi-Zodinmawia.