Acknowledgements; Preface; 1. A century of knot theory; 2. What is a knot?; 3. Combinatorial techniques; 4. Geometric techniques; 5. Algebraic techniques; 6. Geometry, algebra, and the alexander polynomial; 7. Numerical invariants; 8. Symmetries of knots; 9. High-dimensional knot theory; 10. New combinatorial techniques; Appendices; References; Index.
This book uses only linear algebra and basic group theory to study the properties of knots.
'The author's book would be a good text for an undergraduate course in knot theory ... The topics in the book are nicely tied together ... The topics and the exercises together can provide an opportunity for many undergraduates to get a real taste of what present day mathematics is like.' Mathematical Reviews 'Get knotted ... ' Scouting for Boys
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