VERY GOOD: This book is in extremely good condition, showing very little sign of use and wear. There is no writing on the pages, which are printed on acid-free paper.
Product Details
Continued from the back cover: [This book] "contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials, as well as more recent developments and special topics such as chord diagrams and covering spaces. It is an introduction to the fascinating study of knots and provides insight into recent applications to such studies as DNA research and graph theory. The author clearly outlines what is known and what is not known about knots. He has been careful to avoid advanced mathematical terminology or intricate techniques in algebraic topology or group theory. There are numerous diagrams and exercises relating the material. Developments over the past ten years are described, in particular the study of Jones polynomials and the Vassiliev invariants.
"Each chapter includes a supplement that consists of interesting historical as well as mathematical comments. The book will be readable by senior undergraduate students as well as beginning graduate students in mathematics, computer science and modern biology, medical, and physical research."
CHAPTERS
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
The book ends with an Appendix featuring a Table of Knots and Alexander and Jones Polynomials; Notes; Bibliography; and Index.
