Knots: Mathematics with a Twist

Knots: Mathematics with a Twist

by Alexei Sossinsky, Margaret C. Nelson
     
 

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,… See more details below

Overview

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.

Product Details

ISBN-13:
9780674013810
Publisher:
Harvard University Press
Publication date:
03/28/2004
Pages:
160
Product dimensions:
5.00(w) x 6.92(h) x 0.48(d)

Related Subjects

Meet the Author

Alexei Sossinsky is Professor of Mathematics, University of Moscow.

Table of Contents

Preface

1. Atoms and Knots
Lord Kelvin — 1860

2. Braided Knots
Alexander — 1923

3. Planar Diagrams of Knots
Reidemeister — 1928

4. The Arithmetic of Knots
Schubert — 1949

5. Surgery and Invariants
Conway — 1973

6. Jones's Polynomial and Spin Models
Kauffman — 1987

7. Finite-Order Invariants
Vassiliev — 1990

8. Knots and Physics
Xxx? — 2004?

Notes

Works Cited

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