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Hardcover ISBN:  9780821844663 
Product Code:  PSAPM/66 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821892817 
Product Code:  PSAPM/66.E 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
Hardcover ISBN:  9780821844663 
eBook ISBN:  9780821892817 
Product Code:  PSAPM/66.B 
List Price:  $224.00$174.50 
MAA Member Price:  $201.60$157.05 
AMS Member Price:  $179.20$139.60 

Book DetailsProceedings of Symposia in Applied MathematicsVolume: 66; 2009; 186 ppMSC: Primary 53; 57; 81; 82; 92;
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.ReadershipGraduate students and research mathematicians interested in knot theory and applications.

Table of Contents

Articles

Colin Adams  A brief introduction to knot theory from the physical point of view [ MR 2508726 ]

Erica Flapan  Topological chirality and symmetries of nonrigid molecules [ MR 2508727 ]

Dorothy Buck  DNA topology [ MR 2508728 ]

Louis H. Kauffman  Knots and physics [ MR 2508729 ]

Nadrian C. Seeman  Synthetic singlestranded DNA topology [ MR 2508730 ]

Jonathan Simon  Long tangled filaments [ MR 2508731 ]


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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.
Graduate students and research mathematicians interested in knot theory and applications.

Articles

Colin Adams  A brief introduction to knot theory from the physical point of view [ MR 2508726 ]

Erica Flapan  Topological chirality and symmetries of nonrigid molecules [ MR 2508727 ]

Dorothy Buck  DNA topology [ MR 2508728 ]

Louis H. Kauffman  Knots and physics [ MR 2508729 ]

Nadrian C. Seeman  Synthetic singlestranded DNA topology [ MR 2508730 ]

Jonathan Simon  Long tangled filaments [ MR 2508731 ]