Knot Theory from a Chern-Simons Gauge Theory Point of View

A brief summary of the development of perturbative Chern-Simons gauge theory related to the theory of knots and links is presented. Emphasis is made on the progress achieved towards the determination of a general combinatorial expression for Vassiliev invariants. Its form for all the invariants up to order four is reviewed, and a table of their values for all prime knots with ten crossings is presented.