Topology for Computing

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Cambridge University Press, Jan 10, 2005 - Computers - 243 pages
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Written by a computer scientist for computer scientists, this book teaches topology from a computational point of view, and shows how to solve real problems that have topological aspects involving computers. Such problems arise in many areas, such as computer graphics, robotics, structural biology, and chemistry. The author starts from the basics of topology, assuming no prior exposure to the subject, and moves rapidly up to recent advances in the area, including topological persistence and hierarchical Morse complexes. Algorithms and data structures are presented when appropriate.
  

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Contents

III
1
V
3
VI
8
VII
10
VIII
11
IX
13
X
14
XI
19
XXXIX
148
XL
150
XLI
153
XLII
157
XLIII
161
XLIV
162
XLVI
166
XLVII
169

XII
23
XIII
32
XIV
37
XV
41
XVII
47
XVIII
53
XIX
60
XXI
70
XXII
79
XXIII
83
XXIV
84
XXV
85
XXVI
86
XXVII
88
XXVIII
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XXIX
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XXX
95
XXXI
105
XXXII
116
XXXIII
123
XXXIV
125
XXXVI
128
XXXVII
136
XXXVIII
146
XLVIII
171
XLIX
172
L
181
LI
183
LII
184
LIII
186
LIV
190
LV
193
LVI
198
LVII
204
LVIII
208
LIX
215
LX
217
LXI
220
LXII
223
LXIII
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LXIV
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LXV
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LXVI
232
LXVII
233
LXVIII
235
LXIX
240
Copyright

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References to this book

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About the author (2005)

Afra J. Zomorodian is an assistant professor in the Department of Computer Science at Dartmouth College. He is a former Post-Doctoral Fellow in Bio-X and the Department of Computer Science at Stanford University and has been a researcher at the Max-Planck-Institut für Informatik in Saarbrücken, Germany. Using the material contained in this book, he has organized classes on computational topology at Stanford University, the MPI, and Dartmouth College.

Bibliographic information