The Mystery of Knots: Computer Programming for Knot Tabulation (Series on Knots and Everything Vol.20) - Perfect for Mathematicians, Computer Scientists & Topology Researchers
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Product Description
One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce the reader to the use of computer programming to obtain the table of knots. The author presents this problem as clearly and methodically as possible, starting from the very basics. Mathematical ideas and concepts are extensively discussed, and no advanced background is required.
Customer Reviews
This book describes how to tabulate knots with the help of computers. You could ask, so, what is special about that and why is this difficult? It is difficult because a knot or link is a topological object and hence, it is not clear how to represent such an object that it can be processed by an computer at all. Even if you know the Dowker-Thistlethwaite notation it is still an art to do it.In my opinion this book is ahead of its time, because the field of computational topology/knot theory is still in its infacncy.
