When Topology Meets Chemistry: A Topological Look at Molecular Chirality

Erica Flapan

doi:10.1017/CBO9780511626272

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 illustrations and more than 100 exercises. Reading this fascinating book, undergraduate mathematics students can escape the world of pure abstract theory and enter that of real molecules, while chemists and biologists will find simple, clear but rigorous definitions of mathematical concepts they handle intuitively in their work.

‘If you are a chemist … looking for applications of low dimensional topology in the natural sciences, this is a book you should own … serves as an excellent introduction to the field for a topologist looking for interesting applications of topology in science. The book is well produced with many useful diagrams and with exercises that range from easy to intriguing. This book is definitely on my ‘buy list’.’

Stuart Whittington Source: SIAM Review

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When Topology Meets Chemistry

A Topological Look at Molecular Chirality

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Contents

Frontmatter
pp i-viii

Contents
pp ix-x

Preface
pp xi-xiv

1 - Stereochemical Topology
pp 1-31

2 - Detecting Chirality
pp 32-68

3 - Möbius Ladders and Related Molecular Graphs
pp 69-109

4 - Different Types of Chirality and Achirality
pp 110-135

5 - Intrinsic Topological Properties of Graphs
pp 136-160

6 - Symmetries of Embedded Graphs
pp 161-197

7 - Topology of DNA
pp 198-232

References
pp 233-238

Index
pp 239-241

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When Topology Meets Chemistry

A Topological Look at Molecular Chirality

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