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Clasificación DEWEY
516.15 MAN-f
Autor
Mandelbrot, Benoit B. , autor
Título
The fractal geometry of nature / Benoit B. Mandelbrot
Pie de imprenta
New York : W.H. Freeman , c1983
Descripción
468+16 páginas : ilustraciones ; 24 cm.
Tipo de medio digital o análogo
sin medio rdamedia
Medio de almacenamiento
volumen rdacarrier
Bibliografía
Incluye referencias bibliográficas (páginas [425]-443] e índice.
Nota de contenido
INTRODUCTION 1 Theme -- The Irregular and Fragmented in Nature -- Dimension, Symmetry, Divergence -- Variations and Disclaimers -- II I:! THREE CLASSIC FRACTALS, TAMED -- How Long is the Coast of Britain? -- Snowflakes and Other Koch Curves Harnessing the Peano Monster Curves -- Fractal Events and Cantor Dusts -- III I:! GALAXIES AND EDDIES -- Fractal View of Galaxy Clusters -- Geometry of Turbulence -- Intermittency -- Fractal Singularities of Differential Equations -- IV I:! SCALING FRACTALS -- Length-Area-Volume Relations -- Islands, Clusters, and Percolation-- Diameter-Number Relatior -- Ramification and Fractal Lattices -- V I:! NONSCALING FRACTALS -- Surfaces with Positive Volume, and Flesh – Trees -- Scaling Residues-- Nonuniform Fractals -- Trees and the Diameter Exponent -- VI I:! SELF-MAPPING FRACTALS -- Self-Inverse Fractals, Apollonian Nets, and Soap -- Cantor and Fatou Dusts-- Self-Squared Dragons -- Fractal Attractors and Fractal ("Chaotic") Evolutions -- VII I:! RANDOMNESS -- Chance as a Tool in Model Making -- Conditional Stationarity and Cosmographic Principles -- VIII I:! STRATIFIED RANDOM FRACTALS -- Random Curds: Contact Clusters and Fractal Percolation -- Random Chains and Squigs -- Brownian Motion and Brown Fractals -- Random Midpoint Displacement Curves -- IX I:! FRACTIONAL BROWN FRACTALS 27 River Discharges -- Scaling Nets and Noises -- Relief and Coastlines -- The Areas of Islands, Lakes, and Cups -- I:! A BOOK-WITHIN-THE-BOOK, IN COLOR -- Isothermal Surfaces of Homogeneous Turbulence -- X I:! RANDOM TREMAS-- TEXTURE -- Interval Tremas -- Linear Levy Dusts -- Subordination-- Spatial Levy Dusts-- Ordered Galaxies -- Disc and Sphere Tremas: Moon Craters and Galaxies -- Texture: Gaps and Lacunarity-- Cirri and Succolarity 310 35 General Tremas, and the Control of Texture -- XI I:! MISCELLANY -- Logic of Fractals in Statistical Lattice Physics -- Price Change and Scaling in Economics -- Scaling and Power Laws Without Geometry 341 39 Mathematical Backup and Addenda -- XII I:! OF MEN AND IDEAS -- Biographical Sketches -- Historical Sketches -- Epilog: The Path to Fractals.
Nota de Resumen
Clouds are not spheres, mountains are not cones, lightning does not travel in a straight line. The complexity of nature’s shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry. To describe such shapes, Benoit Mandelbrot conceived and developed a new geometry, the geometry of fractal shapes.
Fuente de adquisición
Sandi ; compra ; 28-04-2017
Materia
Geometría
Modelos Matemáticos
Procesos Estocásticos
Fractales
etiq. info
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001 715137
005 19980226105345.9
006 a
008 170502s1983 nyua rb 001 0 eng
010 |z978-0-7167-1186-5
035 |a138268
040 |aDLC|cDLC|dDLC|dCOLMICH
082 4|a516.15|bMAN-f
100 1 |aMandelbrot, Benoit B.|eautor
245 14|aThe fractal geometry of nature |cBenoit B. Mandelbrot
260 |aNew York |bW.H. Freeman|cc1983
300 |a468+16 páginas|bilustraciones|c24 cm.
336 |atexto|2rdacontent
337 |asin medio|2rdamedia
338 |avolumen|2rdacarrier
504 |aIncluye referencias bibliográficas (páginas [425]-443] e índice.
505 0 |aINTRODUCTION 1 Theme -- The Irregular and Fragmented in Nature -- Dimension, Symmetry, Divergence -- Variations and Disclaimers -- II I:! THREE CLASSIC FRACTALS, TAMED -- How Long is the Coast of Britain? -- Snowflakes and Other Koch Curves Harnessing the Peano Monster Curves -- Fractal Events and Cantor Dusts -- III I:! GALAXIES AND EDDIES -- Fractal View of Galaxy Clusters -- Geometry of Turbulence -- Intermittency -- Fractal Singularities of Differential Equations -- IV I:! SCALING FRACTALS -- Length-Area-Volume Relations -- Islands, Clusters, and Percolation-- Diameter-Number Relatior -- Ramification and Fractal Lattices -- V I:! NONSCALING FRACTALS -- Surfaces with Positive Volume, and Flesh – Trees -- Scaling Residues-- Nonuniform Fractals -- Trees and the Diameter Exponent -- VI I:! SELF-MAPPING FRACTALS -- Self-Inverse Fractals, Apollonian Nets, and Soap -- Cantor and Fatou Dusts-- Self-Squared Dragons -- Fractal Attractors and Fractal ("Chaotic") Evolutions -- VII I:! RANDOMNESS -- Chance as a Tool in Model Making -- Conditional Stationarity and Cosmographic Principles -- VIII I:! STRATIFIED RANDOM FRACTALS -- Random Curds: Contact Clusters and Fractal Percolation -- Random Chains and Squigs -- Brownian Motion and Brown Fractals -- Random Midpoint Displacement Curves -- IX I:! FRACTIONAL BROWN FRACTALS 27 River Discharges -- Scaling Nets and Noises -- Relief and Coastlines -- The Areas of Islands, Lakes, and Cups -- I:! A BOOK-WITHIN-THE-BOOK, IN COLOR -- Isothermal Surfaces of Homogeneous Turbulence -- X I:! RANDOM TREMAS-- TEXTURE -- Interval Tremas -- Linear Levy Dusts -- Subordination-- Spatial Levy Dusts-- Ordered Galaxies -- Disc and Sphere Tremas: Moon Craters and Galaxies -- Texture: Gaps and Lacunarity-- Cirri and Succolarity 310 35 General Tremas, and the Control of Texture -- XI I:! MISCELLANY -- Logic of Fractals in Statistical Lattice Physics -- Price Change and Scaling in Economics -- Scaling and Power Laws Without Geometry 341 39 Mathematical Backup and Addenda -- XII I:! OF MEN AND IDEAS -- Biographical Sketches -- Historical Sketches -- Epilog: The Path to Fractals.
520 |aClouds are not spheres, mountains are not cones, lightning does not travel in a straight line. The complexity of nature’s shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry. To describe such shapes, Benoit Mandelbrot conceived and developed a new geometry, the geometry of fractal shapes.
541 |aSandi|ccompra|d28-04-2017
598 |aCEGH
598 |aMAYO2017
650 4|aGeometría
650 4|aModelos Matemáticos
650 4|aProcesos Estocásticos
650 4|aFractales