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 ago, 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.
Alexei Sossinsky is Professor of Mathematics, University of Moscow.
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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- ID: 9780674013810
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