Formal Knot Theory (Dover Books on Mathematics)

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9780486450520: Formal Knot Theory (Dover Books on Mathematics)
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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.

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About the Author:

Louis H. Kauffman is a professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago.

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Other Popular Editions of the Same Title

9780691083360: Formal Knot Theory (Mathematical Notes, No. 30)

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ISBN 10:  0691083363 ISBN 13:  9780691083360
Publisher: Princeton University Press, 1983
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