Applications of Knot Theory (Proceedings of Symposia in Applied Mathematics) free ebook download.

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Applications of Knot Theory (Proceedings of Symposia in Applied Mathematics) free ebook download

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Author(s):	Dorothy Buck and Erica Flapan

Date:	2009-05-28	Format:	pdf	Language:	English	ISBN/ASIN:	0821844660
Pages:	186	OCR:		Quality:		ISBN13:	9780821844663
Uploader:	tvladb77	Upload Date:	2/6/2022 11:50:00 PM

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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.

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