When Topology Meets Chemistry: A Topological Look at Molecular Chirality

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Cambridge University Press, Jul 31, 2000 - Mathematics - 241 pages
2 Reviews
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.
 

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Flapan's chirality analysis of bonded points nicely compliments Petitjean's quantitative analysis of the chirality of point distributions in space (e.g., QCM software). Flapan puts rigorous derivation to the intuitive concepts of chemical chirality and uncovers subtleties yet to be explored. It is a fascinating, abundantly illustrated text. 

Contents

I
xiii
II
5
III
11
IV
13
V
17
VI
19
VII
23
VIII
27
XXVIII
126
XXIX
132
XXX
134
XXXI
135
XXXII
138
XXXIII
142
XXXIV
146
XXXV
153

IX
30
X
31
XI
37
XII
39
XIII
46
XIV
50
XV
55
XVI
61
XVII
64
XVIII
67
XIX
88
XX
96
XXI
103
XXII
105
XXIII
108
XXIV
112
XXV
116
XXVI
122
XXVII
123
XXXVI
158
XXXVII
159
XXXVIII
160
XXXIX
161
XL
170
XLI
174
XLII
176
XLIII
190
XLIV
193
XLV
196
XLVI
199
XLVII
205
XLVIII
208
XLIX
212
L
217
LI
229
LII
231
LIII
237
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