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- catalog abstract ""Ornaments and Icons, symbols of complexity or evil, aesthetically appealing and endlessly useful in everyday ways, knots are also the object of mathematical theory, used to unravel ideas about the topological nature of space. In recent years knot theory has been brought to bear on the study of equations describing weather systems, mathematical models used in physics, and even, with the realization that DNA sometimes is knotted, molecular biology." "This book, written by a mathematician known for his own work on knot theory, is a clear, concise, and engaging introduction to this complicated subject. A guide to the basic ideas and applications of knot theory, Knots takes us from Lord Kelvin's early - and mistaken - idea of using the knot to model the atom, almost a century and a half age, to the central problem confronting knot theorists today: distinguishing among various knots, classifying them, and finding a straightforward and general way of determining whether two knots - treated as mathematical objects - are equal."--Jacket.".
- catalog alternative "Nœuds. English".
- catalog contributor b12543728.
- catalog created "2002.".
- catalog date "2002".
- catalog date "2002.".
- catalog dateCopyrighted "2002.".
- catalog description ""Ornaments and Icons, symbols of complexity or evil, aesthetically appealing and endlessly useful in everyday ways, knots are also the object of mathematical theory, used to unravel ideas about the topological nature of space. In recent years knot theory has been brought to bear on the study of equations describing weather systems, mathematical models used in physics, and even, with the realization that DNA sometimes is knotted, molecular biology." "This book, written by a mathematician known for his own work on knot theory, is a clear, concise, and engaging introduction to this complicated subject. A guide to the basic ideas and applications of knot theory, Knots takes us from Lord Kelvin's early - and mistaken - idea of using the knot to model the atom, almost a century and a half age, to the central problem confronting knot theorists today: distinguishing among various knots, classifying them, and finding a straightforward and general way of determining whether two knots - treated as mathematical objects - are equal."--Jacket.".
- catalog description "Includes bibliographical references (p. 127).".
- catalog description "Preface -- Atoms and knots : Lord Kelvin. 1860 -- Braided knots : Alexander. 1923 -- Planar diagrams of knots : Reidemeister. 1928-- Arithmetic of knots : Schubert. 1949 -- Surgery and invariants : Conway. 1973 -- Jones's polynomial and spin models : Kauffman. 1987 -- Finite-order invariants : Vassiliev. 1990 -- Knots and physics : Xxx? 2004?".
- catalog extent "xix, 127 p. :".
- catalog identifier "0674009444 (alk. paper)".
- catalog issued "2002".
- catalog issued "2002.".
- catalog language "eng fre".
- catalog language "eng".
- catalog publisher "Cambridge, Mass. : Harvard University Press,".
- catalog subject "514/.224 21".
- catalog subject "Knot theory.".
- catalog subject "Low-dimensional topology.".
- catalog subject "QA612.2 .S6713 2002".
- catalog tableOfContents "Preface -- Atoms and knots : Lord Kelvin. 1860 -- Braided knots : Alexander. 1923 -- Planar diagrams of knots : Reidemeister. 1928-- Arithmetic of knots : Schubert. 1949 -- Surgery and invariants : Conway. 1973 -- Jones's polynomial and spin models : Kauffman. 1987 -- Finite-order invariants : Vassiliev. 1990 -- Knots and physics : Xxx? 2004?".
- catalog title "Knots : mathematics with a twist / Alexei Sossinsky ; translated by Giselle Weiss.".
- catalog title "Nœuds. English".
- catalog type "text".