Barnsley M. — Fractals Everywhere :: Электронная библиотека попечительского совета мехмата МГУ

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Barnsley M. — Fractals Everywhere

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Название: Fractals Everywhere

Автор: Barnsley M.

Аннотация:

This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world.

This edition of Fractals Everywhere is the most up-to-date fractal textbook available today.

Fractals Everywhere may be supplemented by Michael F. Barnsley's Desktop Fractal Design System (version 2.0) with IBM for Macintosh software. The Desktop Fractal Design System 2.0 is a tool for designing Iterated Function Systems codes and fractal images, and makes an excellent supplement to a course on fractal geometry A new chapter on recurrent iterated function systems, including vector recurrent iterated function systems.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 394

Добавлена в каталог: 15.04.2007

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Предметный указатель

Slide and fold dynamical system      142
Slide and fold dynamical system, illustration      141
Space      see “Metric space”
Space X      6—10
Space X, definition      6
Space X, points of      6
Space-filling curves      240—247
Space-filling curves, IFS code for      240 242 245
Space-filling curves, illustration      243 244 246 247
Square, IFS code for      87
Strange Attractor      see “Attractor strange”
Stretch, squeeze, and bend dynamical system, illustration      135 136
Sunflower field      379 380
Sunflower field, illustration      Plate 9.8.10
Sup S, definition      35 75
Support, of a measure      349
Support, of a measure, definition      349
Supremum      203
Supremum, definition      35 75
Topologically conjugate      148
Topologically conjugate, definition      147
Topologically equivalent      147 153
Topologically equivalent, definition      146
topology      14 16
Topology, illustration      14
Totally disconnected      119
Totally disconnected, definition      129 (see also “Disconnected totally”)
Transformation      3 31 43—117 (see “Analytic “Condensation “Continuous “Invertible “Mobius “Newton “One-to-one “Onto “Polynomial “Quadratic “Rational and

Transformation, affine      2 43 44 45
Transformation, contractive      76
Transformation, definition      43
Transformation, illustration      22
Transformation, invertible      44
Transformation, Mobius      see “Mobius transformation”
Transformation, rational      43
Transformation, real line      43—50
Transitive      168
Transitive, definition      168
Translation      46 53
Translation, illustration      53
TREE      41 94
Tree, fractal, IFS code for      87
Tree, fractal, IFS code for illustration      95
Tree, illustration      95
Turbulent jet      see “Jet flame”
Twin — Dragon fractal      312
Twin — Dragon fractal, illustration      312
Uncountable      125
Uncountable, definition      124
Vector space      see “Linear space”
Vertical scaling factor      215 216 217 218 225 229
Vertical scaling factor, definition      214
Web diagram      141 149 163—165.166 265
Web diagram, computer program      137—139
Web diagram, definition      137
Web diagram, illustration      139 140 149 164 167

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