When Topology Meets Chemistry A Topological Look at Molecular Chirality

Name: When Topology Meets Chemistry A Topological Look at Molecular Chirality
Price: 40.88 USD
Availability: InStock
ISBN: 9780521664820

ISBN-10: 0521664829

ISBN-13: 9780521664820

Edition: 2000

Authors: Erica Flapan, John Barrow, Fan Chung, Ingrid Daubechies, Persi Diaconis

List price: $39.99

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Description:

The applications of topological techniques for understanding molecular structures have become increasingly important over the past thirty years. In this topology text, the reader will learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite; all the relevant background is provided. The text is enhanced by nearly 200…

Book details

List price: $39.99
Copyright year: 2000
Publisher: Cambridge University Press
Publication date: 7/31/2000
Binding: Paperback
Pages: 256
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 0.748
Language: English

Persi Diaconis is professor of mathematics and statistics at Stanford University and a professional magician. Ron Graham is professor of mathematics and computer science at the University of California, San Diego, and a professional juggler.



Preface



Stereochemical Topology


Examples of Topologically Complex Molecules


Stereoisomers


Chirality


Chirality of Mobius Ladders


Intrinsic Chirality


Euclidean Rubber Gloves


Topological Rubber Gloves


Nonrigid Symmetries


Exercises



Detecting Chirality


Defining Chirality


Knot and Link Types


Link Polynomials


Chirality of Embedded Graphs


Chirality of Molecular Knots and Links


Alternating Links


Tait's Conjecture


Exercises



Mobius Ladders and Related Molecular Graphs


Chirality of Mobius Ladders


Intrinsic Chirality


Triple-Layered Naphthalenophane


Multiply Twisted Closed Ladders


Exercises



Different Types of Chirality and Achirality


Topological Rubber Gloves in R[superscript 3]


Molecular Topological Rubber Gloves


Intrinsic Topological Rubber Gloves


Hierarchies of Achirality


Molecular Cell Complexes


Exercises



Intrinsic Topological Properties of Graphs


Results of Conway and Gordon


Minor Minimal Intrinsically Linked Graphs


[Delta] Y Moves and Intrinsic Knottedness


Intrinsic Chirality of Complete Graphs


Topological Stereoisomers


Exercises



Symmetries of Embedded Graphs


Nonrigid Symmetries


Rigid Symmetries of Three-Connected Graphs


Topological Chirality of Labeled Graphs


Using Automorphisms to Show Intrinsic Chirality


Symmetries of Complete Graphs


Hierarchies of Automorphisms


Exercises



Topology of DNA


Supercoiling


Toroidal Winding of DNA


The Action of Enzymes on DNA


Conway's Theory of Tangles


Results of Ernst and Sumners


Exercises


References


Index