Knot Theory and Its Applications

Kunio Murasugi

342 pages, parution le 15/01/1996

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Résumé

"The book ...develops knot theory from an intuitive geometric-combinatorial point of view, avoiding completely more advanced concepts and techniques from algebraic topology.... intended for readers without a considerable background in mathematics...particular attention is given to connections and applications to other natural sciences. Thus the emphasis is on a lucid and intuitive exposition accessible to a broader audience... The book, written in a stimulating and original style, will serve as a first approach to this interesting field for readers with various backgrounds in mathematics, physics, etc. It is the first text developing recent topics as the Jones polynomial and Vassiliev invariants on a level accessible also for non-specialists in the field."

Zentralblatt Math

"Noteworthy features here include applications to chemistry and biology and a final chapter on the very important Vassiliev invariants, a fairly late-breaking development. Murasugi, an expert of stature on knots, begins absolutely from first principles and avoids sophisticated terminology, but he writes in a careful and rigorous style."

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Sommaire

Fundamental Concepts of Knot Theory
Knot Tables
Fundamental Problems of Knot Theory
Classical Knot Invariants
Seifert Matrices
Invariants from the Seifert matrix
Torus Knots
Creating Manifolds from Knots
Tangles and 2-Bridge Knots
The Theory of Braids
The Jones Revolution
Knots via Statistical Mechanics
Knot Theory in Molecular Biology
Graph Theory Applied to Chemistry
Vassiliev Invariants
Appendix
Appendix (I): a table of knots
Appendix (II): Alexander and Jones polynomials

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Kunio Murasugi
Parution	15/01/1996
Nb. de pages	342
Format	16 x 24
Couverture	Broché
Poids	640g
Intérieur	Noir et Blanc
EAN13	9780817638177
ISBN13	978-0-8176-3817-7