Knot Theory

by Rohit Chaudhary

Knot theory is a mathematical study of knots. It is an area of mathematics known as topology. It is mainly used to distinguish between different types of knots and links. There are some practical applications of knots that are discussed in more detail later. Looking at the history of Knot theory, before people used to try to twist wires or threads and try to classify different types of knots. Now a days, using the modern technology this can be done on the computer. The Knots shown in this page are all drawn using Maple software.

Introduction             - Introduction to Knot theory in more detail and some history behind it Description of Knot Theory             - Describes the Knot Theory and some terms used Techniques of distinguishing knots              - Different types of ways in which the knots can be distinguished Some types of Knots             - Some types of Knots drawn using Maple and the worksheet Applications             - Some applications of the Knot Theory and a link to the references Knots with their Conway Notations             - Some knots shown with their respective Conway Notations