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Formal Knot Theory by Louis H. Kauffman ISBN: 048645052X Dover Publications Price: $14.95 click here to see this book This exploration of combinatorics and knot theory is geared toward advanced undergraduates and graduate students. The author draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. 1983 edition. Includes 51 illustrations. Unabridged republication of the edition published by Princeton University Press, Princeton, New Jersey, 1983. Table of Contents for Formal Knot Theory 1. Introduction 2. State, Trails, and the Clock Theorem 3. State Polynomials and the Duality Conjecture 4. Knots and Links 5. Axiomatic Link Calculations 6. Curliness and the Alexander Polynomial 7. The Coat of Many Colors 8. Spanning Surfaces 9. The Genus of Alternative Links 10. Ribbon Knots and the Arf Invariant Appendix. The Classical Alexander Polynomial References

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