Авторизация
Поиск по указателям
Schroeder M.R. — Schroeder, Self Similarity: Chaos, Fractals, Power Laws
Обсудите книгу на научном форуме Нашли опечатку?
Название: Schroeder, Self Similarity: Chaos, Fractals, Power LawsАвтор: 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: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1991Количество страниц: 432Добавлена в каталог: 09.04.2008Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Hypercubic lattice 313 Hyperfine structure 114 Ichimasa, T. [INF 85] [INF Ilgauds, H.J. [PI 87] Image coding 57 Image scanning 10 Imaging 133 134 Immiscible liquid 200 Ince, S. [RI 57] Inclusion-Exclusion Principle 179 Incommensurate frequencies 309 Independent increments 144 Index sequence 307 310 Infinitely long chess game 267 Inflation 265 Information dimension 195 205 207 221 Information theory 35 127 151 222 Inner ear 34 70 71 122 Innovation process 121 126 Input impedance 45 226 Interatomic force 34 Intercontinental distance 159 Intermediate scales 143 Intermittency 289 290 Interquartile range 158 160 Invariant distribution 160 242 292 Invariant set 165 Invariant under addition 157 Invasion percolation 354 Inverse filtering 77 Inverse Fourier transform 133 159 Inverse mapping 27 40 243 Inverse orbit 244 Inverse problem 44 Inverse Radon transform 135 Inverse square law 33 Irrational frequency dependence 226 Irrational number 52 100 237 241 242 328 Ising spin 321 322 330 324 361 380 Ising, E. 361 Iterated function system 29 261 Iterated mapping 165 305 315 Iterated-logarithmic law 258 Iteration 39 237 257 Itzykson, C. [DDI 83] Jaeger, N.I. [DGJPS 85] Jahnke, E. [JE 51] Jain, A.K. [SHJ 88] Jakobson, M.V. [Jak 81] Jalife, J. [CJ 87] Janner, A. [Jan 89] Jekell, C. [JER 90] Jensen, M.H. [JBB 83] [JBB [BBJ [CJKP [JKLPS [HJKPS 333 Jensen, R.V. [JM 85] Jones, D. [Jon 88] 225 Jossang, T. [HJF 87] Julia set 2 39 244 297 Julia, G. 39 298 Jullien, R. [KBJ 83] 232 Jupiter 171 Just noticeable difference 72 Kac, M. [Kac 85] 109 161 Kadanoff, L.P. [CJKP 85] [JKLPS [HJKPS 334 357 Kammeraad, J. [TKFFHKMM 89] Kasameyer, P. [TKFFHKMM 89] Katz, A. [DK 85] [KD Kelly, J.L. [Kel 56] 151 Kelty, J.R. [AZL...89] Kepler, J. 279 Kepler’s third law 67 Kesten, H. [Kes 87] Kim, C.E. [RK 82] Kim, S. [Kim 81] kinetic energy 67 Klee, V. [KW 89] Klein, B. [KB 88] Klein, F. 8 141 143 Klinger, M. [MK 87] Kneading sequence 277 Knuth, D. [DK 88] Koch curve 7 63 Koch flake 2 Kohlrausch, R. [Koh 1847] [Koh Kolb, M. [KBJ 83] 232 Kolmogorov entropy 205 Koplowitz, J. [KS 87] Kronecker, L. 237 Kuo, K.H. [WCK 87] [CLK 326 Kurtze, D.A. [SK 87] Ladder network 226 Lagrangian function 66 Landau, D.P. [FL 84] Landau, L.D. [LL 76] Langmeier, A. [HLSTLW 86] Lapidus, M.S. [LF 88] 41 Laplace equation 198 Laplace triangle 20 Largest common divisor 323 Laser light diffraction pattern 114 190 316 Laskar, J. [Las 89] Lateral sound wave 79 Lattice gas 373 Lauterborn, W. [LC 81] [LH [LP 277 Lautzenhiser, T. [AZL...89] Law of Large Numbers 140 Lawton, J.H. [Law 88] Lebesgue measure 180 291 Lee, T.D. [YL 52] 363 Left shift 57 Legendre transform 206 Leibniz, G.W. [Lei 1714] 132 383 Length of observation 131 Length scaling 368 Leonardo da Pisa 54 Leopold, L.B. [Leo 62] Lettvin, J. 124 Levin, L. [LS 84] 313 Levinsen, M.T. [AL 85] Levy flight 155 Levy, P. 155 Lewien, W.H.G. [HLSTLW 86] Li, D.X. [CLK 88] Li, T.-Y. [LY 75] 279 289 Libchaber, A. [LM 80] [JKLPS Libchaber, R. 277 Lichtenberg figure 197 215 Lichtenberg, G.C. 211 215 Lie, S. 68 Life game 373 Life-time 390 Lifson, S. 3 Lightning 198 Lignite 236 Lin, C.-S. [GLL 78] Lin, S. [GLL 78] Lindemann, F. 237 242 Lindemayer, A. [Lin 68] Lindenmayer, A. 261 Lindsay, H.M. [SWGDRCL 86] linear oscillator 66 Linear prediction 127 Linear resonator 158 Liouville number 241 Liouville, J. 86 242 Lipchitz, J. 74 Lipes, R. [ZLP 76] Lipreading 44 Lipshitz — Hoelder exponent 192 193 Liquid crystal 302 Liu, S.H. [Liu 85] Local interaction 372 Locked frequency 172 Locked frequency interval 175 336 Locked-in frequency ratio 334 Locked-in intervals 169 Log-periodic antenna 85 90 Logarithmic mapping 85 Logarithmic spiral 47 67 68 89 90 Logistic parabola 207 268 279 Long-range dependence 129 Long-range order 55 302 304 306 309 Long-range structure 266 Look-see proof 93 Lorentz invariance 4 Lorentz, H.A. 40 Lorenz, E.N. [Lor 80] Loudness 34 71 Loudness doubling 71 Lovejoy, S. [Lov 82] [LM 232 Low-loss transmission 159 Lucas number 171 318 328 Lumped element 225 Lung development 119 Lyapunov exponent 243 l’Hospital, G.F.A. de 145 Maa, D.Y. [HBM 39] Maa, S.N. [CMP 87] Mackay, A. [Mac 82] Magnetic domain 379 magnetic susceptibility 353 Magnetism 115 Majority voting 380 Mallows, C. 59 Mandelbrot set 279 296 298 Mandelbrot, B.B. [Man 61] [Man [Man [Man [MW [Man [Man [Man [MPP [LM [Man 2 8 107 117 119 129 139 162 179 196 232 296 Manin, Y. 301 Margolus, N. [TM 87] Market analysis 127 Markov process 150 357 Markov source 358 Markov — Wiener process 145 Markov, A.A. 145 Martienssen, W. [MM 86] Martin, J.E. [SMWC 84] [MH Martin, S. [MM 86] Marx, K. 145 Mass dimension 216 Mass distribution 44 Mass exponent 32 33 Mathews, M.V. [MPRR 88] Matter density 115 Maurer, J. [LM 80] 277 Maxwell’s equation 369 May, R.M. [May 88] McGraw-Hill [McG 71] McMechan, G.A. [AZL...89] Meakin, P. [Mea 83] [MSCW [MCSW [Mea 196 198 232 Mean 148 Mean free path 143 Median 148 158 Mediant 335 Meinhardt, H. [Mei 82] [MK 382 Mekjian, A.Z. [Mek 90] Melter, R.A. [WWM 87] Melting 115 Memoryless source 358 Mendes France, M. [DMP 82] Meneveau, C. [MS 87] Menger sponge 179 Menger, K. [Men 79] 179 Mercury 332 338 Meson 106 Metallic glass 302 Metropolis, N. [MSS 73] 371 Michel, H.V. [AAMA 82] Microwave cavity 69 Microwave transmission 231 Middle-third-erasing set 16 Mignard, F. [WPM 83] Millett, M. [TKFFHKMM 89] Minimally stable state 390 Minkowski content 41 Minkowski dimension 216 Minkowski sausage 42 213 Minkowski — Bouligand dimension 42 Minkowski, H. 41 Mixing process 251 Mode density 43 Mode locking 171 172 175 333 343 Model basin 70 Moebius function 24 Moebius strip 24 Moessbauer quanta 112 258 Moessbauer spectroscopy 114 Molecular collision 143 Molecular structure 235 Molecular theory of heat 140 Monkey language 35 37 Monophonic sound 79 Monte Carlo method 371 Monte Carlo simulation 30 Moon, F.C. [Moo 84] Morse — Thue constant 241 279 299 Morse — Thue sequence 2 264 278 283 Morse, M. [Mor 21] 263 267 Mosko, J.A. [CM 90] Most irrational number 338 Most significant digit 116 MT see “Morse — Thue sequence” Mugge, M. [TKFFHKKM 89] Multidimensional scaling 75 Multifractal 187 192 193 200 204 206 245 333 Multifractal Julia set 245 Multifractal spectrum 193 206 207 334 343 Multipath propagation 73 Multiple Images 155 Multiplicative random process 190 193 Muon 106 Musical instruments 44 74 101 Musical scale 102 Musical sound 97 101 Myer, C.R. [JM 85] Natural length scale 33 Nauenberg, M. [NS 89] 245 Near noble number 392 Nearest-neighbor coupling 361 Negative curvature 267 Neural network 302 366 neuron 302 Neutrino 106 155 Neutron 232 Neutron scattering 236 Neutron spectroscopy 114 Newton, I. 67 239 Newtonian attraction 67 Newton’s iteration 38 239 243 Newton’s tangent method 38 Newton’s universal law of gravitation 67 103 106 Niemeyer, L. [NPW 84] [NPW Nieto, M.M. [AZL...89] Nissen, H.-U. [INF 85] [INF Noble mean 316 339 343 392 Noise abatement 79 Noise in the frequency domain 73 Noise intensity 34 Non-euclidean paradox 3 Nondifferentiability 140 Nondifferentiable function 140 143 Nonlinear coupling 324 334 Nonlinear dynamic system 181 205 253 267
Реклама
|
|
О проекте