Knots: mathematics with a twist
by Sosinskiĭ, A. B., (Alekseĭ Bronislavovich)
"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 f…
Read More ↓Title Statements
- Full title :Knots : mathematics with a twist / Alexei Sossinsky ; translated by Giselle Weiss ; [illustrations by Margaret C. Nelson].
Summary
"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.
Read More ↓Edition Statements
- Publication Date:2002.
Publication Statements
- Publisher(s):Harvard University Press
- Place of Publication:Cambridge, Mass
- Language:eng
- Publication Date:2002.
The Physical Object
- Description:xix, 127 pages : : illustrations ; : 19 cm
Edition Identifiers
- ISBN:0674009444, 9780674009448
- oclc:ocm50164777
- LC Classification:QA612.2
- Dewey Decimal:514/.224
Table of Contents
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?
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