Mystery Of Knots, The: Computer Programming For Knot Tabulation

A knot theory primer - a general understanding of topology; knot theory as a branch of topology; the regular representations of knots; the equivalence moves; the knot invariants; elements of group theory; the fundamental group; the knot group; the colourization invariants; the Alexander polynomial; the theory of linear homogeneous systems; calculating the Alexander polynomial; the "minor" Alexander polynomials; the Meridian-longitude invariants; proving a knot's chirality; braid theory - skein invariants; calculating the HOMFLYPT polynomials; knot theory after the HOMFLYPT; the problem of knot tabulation - basic concepts of computer programming; the Dowker notation; drawing the knot; when is a notation drawable?; the "equal drawability" moves; multiple notations for equivalent knots; ordering the Dowker notations; calculating the notation invariants; a few examples; the knot tabulation algorithm; the pseudocode; the flowchart; actual results; the table of knots.