Formal Knot Theory (Paperback) (ISBN-13: 9780486450520)

This exploration of combinatorics and knot theory is geared toward advanced undergraduates and graduate students. The author, Louis H. Kauffman, is a professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago. Kauffman 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.
Featured topics include state, trails, and the clock theorem; state polynomials and the duality conjecture; knots and links; axiomatic link calculations; spanning surfaces; the genus of alternative links; and ribbon knots and the Arf invariant. Key concepts are related in easy-to-remember terms, and numerous helpful diagrams appear throughout the text. The author has provided a new supplement, entitled Remarks on Formal Knot Theory, as well as his article, New Invariants in the Theory of Knots, first published in The American Mathematical Monthly, March 1988.

Author: Louis H. Kauffman
ISBN-10: 048645052X
ISBN-13: 9780486450520
Publisher: Dover Publications
Language: English
Published: 07/07/2006
Pages: 272
Format: Paperback
Weight: 0.63lbs
Size: 8.60h x 5.40w x 0.56d