01316nam a22001817a 4500 OSt 20210615160604.0 210615b |||||||| |||| 00| 0 eng d MMSU ULS Guarino,Edmarie A. Alexander polynomial and jones polynomial as knot invariants of torus knot / Edmarie A. Guarino 2019 viii, 54 leaves ; 28 cm. Thesis ( Master of Science in Mathematics) - Mariano Marcos State University,2019. Bibliography: leaves 52. ABSTRACT GUARINO, EDMARIE A. Mariano Marcos State University. May 2019. ALEXANDER POLYNOMIAL AND JONES POLYNOMIAL AS KNOT INVARIANTS OF A TORUS KNOT. Major Adviser: Dr. Michelle D. Reynera. This study served as an introduction to Knot Theory, a branch of Topology. It aimed to: a) obtain visual images of T'(p, q) torus knots using the software called Knot Plot; b) determine the Alexander polynomial and Jones polynomial of T(p,q) torus knots, and c) identify properties of the Alexander polynomial and Jones polynomial of T(7.9) torus knots, where p and are relatively prime. Results of the study show the effectivity, efficiency and properties of the Alexander polynomial and Jones polynomial as knot invariants of a torus knot. ddc THEDIS 15791 15791 0 0 ddc 0 0 MMSU_MAIN MMSU_MAIN THESES 2021-06-15 850 2 850-Thesis 2026-02-12 2026-02-12 2021-06-15 THEDIS ROOM USE ONLY