The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson-Lin invariant via braid representations.With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.Additional ISBNs9789814675963, 9789814675956, 9814675962, 9814675954Lecture Notes On Knot Invariants is written by Weiping Li and published by World Scientific. ISBNs for Lecture Notes On Knot Invariants are 9789814675987, 9814675989 and the print ISBNs are 9789814675956, 9814675954. Additional ISBNs include 9789814675963, 9789814675956, 9814675962, 9814675954.