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CAIRO BOOKS's Description
Over the past 20-30 years, knot theory has rekindled its historic ties with
biology, chemistry, and physics as a means of creating more sophisticated
descriptions of the entanglements and properties of natural phenomena--from
strings to organic compounds to DNA. This volume is based on the 2008 AMS Short
Course, Applications of Knot Theory. The aim of the Short Course and this
volume, while not covering all aspects of applied knot theory, is to provide
the reader with a mathematical appetizer, in order to stimulate the
mathematical appetite for further study of this exciting field. No prior
knowledge of topology, biology, chemistry, or physics is assumed. In
particular, the first three chapters of this volume introduce the reader to
knot theory (by Colin Adams), topological chirality and molecular symmetry (by
Erica Flapan), and DNA topology (by Dorothy Buck). The second half of this
volume is focused on three particular applications of knot theory. Louis
Kauffman discusses applications of knot theory to physics, Nadrian Seeman
discusses how topology is used in DNA nanotechnology, and Jonathan Simon
discusses the statistical and energetic properties of knots and their relation
to molecular biology.