Computational Homology, Volume 157

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Springer Science & Business Media, Jan 9, 2004 - Mathematics - 480 pages
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In recent years, there has been a growing interest in applying homology to problems involving geometric data sets, whether obtained from physical measurements or generated through numerical simulations. This book presents a novel approach to homology that emphasizes the development of efficient algorithms for computation.

As well as providing a highly accessible introduction to the mathematical theory, the authors describe a variety of potential applications of homology in fields such as digital image processing and nonlinear dynamics. The material is aimed at a broad audience of engineers, computer scientists, nonlinear scientists, and applied mathematicians.

Mathematical prerequisites have been kept to a minimum and there are numerous examples and exercises throughout the text. The book is complemented by a website containing software programs and projects that help to further illustrate the material described within.

  

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Contents

III
3
V
13
VI
17
VII
19
VIII
24
IX
26
X
39
XII
40
LXXI
292
LXXII
299
LXXIII
303
LXXIV
306
LXXV
307
LXXVI
308
LXXVII
318
LXXVIII
320

XIII
42
XIV
44
XV
47
XVII
53
XVIII
54
XIX
60
XX
66
XXI
70
XXII
79
XXIII
85
XXIV
88
XXV
91
XXVI
93
XXVII
94
XXVIII
107
XXIX
117
XXX
125
XXXI
132
XXXII
139
XXXIII
141
XXXIV
143
XXXVI
155
XXXVIII
157
XXXIX
165
XL
171
XLI
173
XLII
174
XLIII
176
XLIV
185
XLV
189
XLVI
199
XLVII
206
XLVIII
210
XLIX
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L
216
LI
222
LII
231
LIII
234
LIV
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LV
236
LVI
240
LVII
242
LVIII
244
LIX
253
LX
255
LXI
257
LXII
259
LXIII
266
LXIV
269
LXV
277
LXVI
279
LXIX
286
LXX
289
LXXIX
324
LXXXI
326
LXXXII
332
LXXXIII
333
LXXXIV
336
LXXXV
342
LXXXVI
343
LXXXVII
357
LXXXVIII
361
LXXXIX
375
XC
377
XCI
378
XCII
385
XCIII
388
XCIV
389
XCV
390
XCVI
393
XCVII
395
XCVIII
397
XCIX
402
C
407
CI
411
CII
415
CIII
419
CIV
420
CV
422
CVI
424
CVII
426
CVIII
427
CIX
429
CX
430
CXI
433
CXIII
437
CXIV
438
CXV
441
CXVI
446
CXVII
447
CXVIII
451
CXIX
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CXXI
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CXXII
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CXXIII
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CXXIV
457
CXXV
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CXXVI
459
CXXVIII
460
CXXIX
461
CXXX
462
CXXXI
465
CXXXII
471
CXXXIII
475
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