to real-world problems in the sciences. It will instruct and delight the expert, the amateur, and the curious alike.
Alexei Sossinsky is Professor of Mathematics, University of Moscow
Preface
vii
Atoms and Knots
1
(14)
Lord Kelvin 1860
Braided Knots
15
(20)
Alexander 1923
Planar Diagrams of Knots
35
(11)
Reidemeister 1928
The Arithmetic of Knots
46
(12)
Schubert 1949
Surgery and Invariants
58
(15)
Conway 1973
Jones's Polynomial and Spin Models
73
(17)
Kauffman 1987
Finite-Order Invariants
90
(15)
Vassiliev 1990
Knots and Physics
105
(16)
Xxx? 2004?
Notes
121
(6)
Works Cited
127
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