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Schroeder M.R. — Schroeder, Self Similarity: Chaos, Fractals, Power Laws
Schroeder M.R. — Schroeder, Self Similarity: Chaos, Fractals, Power Laws

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Название: Schroeder, Self Similarity: Chaos, Fractals, Power Laws

Автор: Schroeder M.R.

Аннотация:

Readers of James Gleick's 1989 bestseller, Chaos, The Making of a New Science, will find the revolution predicted there in full swing in this advanced look at "self-similarity, ' ' one of chaos theory's most appealing applications. Self-similarity in computer graphics yields the awesome fractal mountain patterns that have made chaos a visible theory for many nonmathematicians. Readers with good command of calculus and some physics will appreciate how far chaos theory has penetrated theoretical physics, biology and the practice of research as described in puns, illustrations and puzzles by this 20th-century Lewis Carroll. Without those skills, however, readers may stand like Alice before a small door that opens on strange new wonders of the physical world, the extended horizons of number theory and advanced math recreation. Schroeder is a professor of physics at Goettingen University in Germany.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 432

Добавлена в каталог: 09.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
1/f noise      34 289
Absolute temperature      124 144
Absorption      69
Abstract concrete      225
Accumulation point      281
Accumulation point of period-doubling      298
Acoustic cortex      224
Acoustic feedback      73
Acoustic nerve      71 122
Acoustic panel      74
Acoustic preference      75
Acoustical quality      73 74 77
Addams, C.      82
Affine transformation      29
Agu, M.      [Agu 76]
Aiken, C.L.V.      [AZL...89]
Albinet, G.      [ASS 86]
Algebraic behavior      366
Algebraic irrational number      242
Algebraic numbers      163
All-1s problem      382
Alphanumeric display      302
Alpher, R.A.      [AH 48] 115
Alstrom, P.      [AL 85]
Alvarez, L.W.      [AAMA 82] [Alv 33 105
Alvarez, W.      [AAMA 82]
Amorphous solid      302
Analog computer      151
Ander, M.E.      [AZL...89]
Anderson localization      36 88
Anderson, P.W.      [And 58] 319 366
Anechoic environment      77
angular momentum      66
Antiferromagnetic interaction      320 324 362 363
Antiharmonic of an orbit      284
Aperiodic tiling      313
Aperiodic window      183
Aperiodicity      240 266 304 309
Apparent length      71
Arcsine law      146 293
Area-filling curve      10
Arithmetic-geometric mean      257
Arnold tongues      174 175 332 334
Arnold, V.I.      [Arn 89]
Arnold’s cat map      253 256
Arnol’d, V.I.      175 332
Arrhenius, S.A.      124
Articulator      45
Articulatory ambiguity      45
Asaro, F.      [AAMA 82]
Asymptotic self-similarity      99
AT&T Bell Laboratories      57 150
Atal, B.S.      [ASSW 66] [SASW [SA
Atomic lattice      362
Atomic size      113 114
Atomic spectra      114
Atomic unit of length      113
Attractor      40 169 244 271
Audio frequency range      71 97
Auditory center      71
Auditory neutron      87
Auditory paradox      95
Auditory research      34
Autocatalytic interaction      384
Avnir, D.      [PA 83] 236
Avron, J.E.      [AS 81]
Babcock, K.L.      [BW 90]
Bach, J.S.      101 107
Backbone resistors      31
Backus, G.      [AZL...89]
Bahcall, J.      [BPS 87]
Bailey, D.H.      [BBB 89]
Bak, P.      [BB 79] [BB [BB [JBB [JBB [BBJ [BTW [BTW [TB 320 333 389
Baker’s transformation      251
Bale, H.D.      [BS 84] 236
Barclay, A.      [Bar 1509]
Bare winding number      175 331 334
Barnsley, M.      [Bar 88] 28 261
Basilar membrane      85 87 122
Basins of attraction      27 28 39 181 206 243
Bass, T.A.      [Bas 90]
Beatty pair      53
Beatty sequence      53 55 307 325
Beranek, L.L.      [HBM 39] [Ber 74
Berlekamp, E.R.      [BCG 82]
Bernoulli, D.      148
Bernoulli, Jakob      148
Bernoulli, Johann      148
Bernoulli, N.      148
Berry, M.V.      [Ber 79] 27 41
Bessel, F.W.      172
Bethe lattice      87 353 363
Bifurcation      117 269 271
big bang      107
Billingsley, P.      [Bil 83]
Binary number system      163 169 383
Binary-shift map      292
Biological pattern formation      382
Biological shape      259
Birkhoff, G.D.      69 109
Bivens, I.      [KB 88]
Bizetti, P.G.      [BBFT 89]
Bizetti-Sona, A.M.      [BBFT 89]
Black hole      155
Black noise      112 122 129
Black, R.P.      [HBS 65]
Blackbody radiation      40 115 188
Blech, I.      [SBGC 84]
Block renaming      265 306 310 329
Bohr radius      113
Bohr, N.      319
Bohr, T.      [JBB 83] [BBJ [JBB 333
Boltzmann, L.      8 140 143
Boltzmann’s constant      124
Bolzano, B.      13 187
Bond percolation      30 365
Borwein, J.M.      [BB 87] [BBB
Borwein, P.B.      [BB 87] [BBB
Bose condensation      334
Bose — Einstein distribution      189 334
Bose, S.N.      334
Boson      334
Botet, R.      [KBJ 83] 232
Bouligand, G.      41
Boundary      40
Boundary point      39
Bounded motion      67
Box counting      213 221
Branching ratio      119 190
Broken symmetry      379
Bronchial tree      119
Brown music      109
Brown noise      109 111 122 128
Brown, R.      128 140
Brownian motion      86 128 133 140 142 144
Bruinsma, R.      [BB 82] [BB 320
Burchfield, R.W.      [Bur 87]
Burning forest model      346
Bush in a breeze      261
Butler, D.      345
Cahn, J.W.      [SBGC 84]
Campi, X.      [Cam 86]
Cannell, D.S.      [SMWC 84]
Cantor sets      2 10 16 97 153 155 162 179 165 167 181 207 217 227 275 321 391
Cantor, G.      15 161 187 242
Cardy, J.L.      [Car 85]
Cartesian product      177
Cassini’s divisions      316
Catalan number      147
Catalytic converter      386
Catalytic oxidation      386
Catalytic reaction      233
Cauchy distribution      158
Cauchy variable      159
Cauchy, A.L.      158
Cayley tree      87 227 353 363
Cayley, A.      39
Celestial mechanics      67
Cellular automa      371 379
Cellular computer      372
Cellular growth and decay      375
cellular telephone      73
Central limit theorem      157 160
Chain code      57
Chain rule      271
Chalkin, P.M.      [SWGDRCL 86]
Chance      148 149 152 207 208
Channel capacity      128 150 151
Chaos      25 52 126 289 319 343
Chaos band      279 287
Chaos game      27
Chaotic mapping      240
Chaotic mixing      251
Chaotic motion      185
Chaotic orbit      252
Chaotic system      167 205
Chaotic tail      52
Chaotic tent map      292
Characteristic function      158
Characteristic impedance      226
Characteristic length      34 107 347
Characteristic scale      389
Characteristic time      356
Chave, A.D.      [AZL...89]
Chen, H.      [WCK 87] [CLK 326
Cheshire cat      375
Chiavalo, D.R.      [CJ 87]
Chinese boxes      81
Chord      97
Chudnovsky, D.      258
Chudnovsky, G.      258
Circle map      174 331 334
Circularly polarized waves      90
Clark, D.S.      [CS 88] 7
Clark, J.      [VC 78]
Classical mechanics      150
Classical vacuum      114
Closed set      162
Clouds      231
Cluster aggregation      232
cluster size      31
Clustering      152
Coastline      137
Coherence length      114
Coherence time      114
Cohesion      132
Collet, P.C.      [CE 80]
Colloidal aggregation      235
Color photography      66
Commensurate frequencies      324
Commensurate orbital periods      316
Commodity exchange      126
Communication theory      127
Complete chaos      291
Completion time      157
Complex base      47
Complex number system      48
Complex plane      40
Computer graphics      57 249
Computer tomography      44 133 135
Computing space      371
Comve, J.H.      [Com 66]
Concert hall acoustics      40 69 72 74 125
Condenser microphone      73
Conditional expectation      157
Confluence of rivers      117
Conformal mapping      298 299 369
Coniglio, A.      [MSCW 85] [MCSW
Connected sets      298
Consensus preference      77
Constance (Norman queen)      84
Continued fraction      51 52 57 91 100 102 116 226 315 325 328 337 392
Continuous function      140
Contractive transformation      29
Control group      147
Convolution integral      132 133 134
Conway, J.H.      [BGG 82] 55 57 335 373
Conway’s sequence      59
Coon, D.D.      [CMP 87]
Cooper, A.P.R.      [AZL...89]
Coordination number      352
Coprime      100 323
Corner the lady      53
Correlation dimension      205 221
correlation length      31 43 352 355 361 367
Corzine, R.G.      [CM 90]
Cosmic background radiation      115
Cosmic shower      106
Cosmic string      139
Cosmology      41
Countable set      163 334
Coupled oscillators      324 338
Coupling parameter      175
Cramer, E.      [LC 81] 277
Cranmer, T.      114
Crick, F.      [Cri 81] 296
Critical circle map      340 343
Critical density      352
critical exponent      347 350 352 361 367 390
Critical frequency-band      71
Critical opalescence      357
Critical phenomenon      115 367
Critical point      115 350
Critical state      389
Critical temperature      361
Cross entropy      127
Cross-talk compensation      77
Crude oil extraction      219 220
Crystal growth      196
Crystal lattice      43
Cubic irrational number      394
Cumulative distribution      171
Curie point      36 346
Cutting line sequence      56
Cvitanovic, P.      [CJKP 85] 334
Da Vinci, L.      117
Dallas, W.J.      [ZD 85]
Dangling bond      31
Dark matter      155
Darwin, C.      147
Daughter orbit      285
Davies, C.      [DK 88]
de Bruijn, N.G.      [deB 81]
De Haas, W.J.      302
De Morgan’s rule      180
de Seze, L.      [DDI-83]
de Wijs, H.J.      [deW 51] 188
Decimal data      116
Dedekind, R.      164
Deflation      265 306 310
Dekking, F.M.      [DMP 82]
Dendrite      200
Derrida, B.      [DGP 78] [DDI
Determinism      167
Deterministic chaos      20 27 166 167 224 293 320 340
Deterministic diffusion      249
Devil’s staircase      2 167 209 321
Diaconis, P.      [Dia 77] 116
Diagonal method      163
Dice      126
1 2 3 4 5 6
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