Kitchen Science Fractals: A Lab Manual For Fractal Geometry, Michael Frame, Nial Neger

Автор: Michael Frame, Nial Neger
Название: Kitchen Science Fractals: A Lab Manual For Fractal Geometry
ISBN: 9811218927 ISBN-13(EAN): 9789811218927
Издательство: World Scientific Publishing
Рейтинг:
Цена: 7128.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book provides a collection of 43 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.

Автор: Alberto Carpinteri; Francesco Mainardi
Название: Fractals and Fractional Calculus in Continuum Mechanics
ISBN: 321182913X ISBN-13(EAN): 9783211829134
Издательство: Springer
Рейтинг:
Цена: 16979.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.

Автор: Meakin
Название: Fractals, Scaling and Growth Far from Equilibrium
ISBN: 0521189810 ISBN-13(EAN): 9780521189811
Издательство: Cambridge Academ
Рейтинг:
Цена: 11246.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This 1998 book describes developments in understanding the formation of complex, disorderly patterns under conditions far from equilibrium. The application of fractal geometry and scaling concepts to the quantitative description and understanding is described. Discussion of self-similar fractals, multi-fractals and scaling methods facilitates applications in the physical sciences.

Автор: Rogers Luke G, Ruiz Patricia Alonso, Teplyaev Alexander, Chen Joe Po-chou
Название: Analysis, Probability And Mathematical Physics On Fractals
ISBN: 9811215529 ISBN-13(EAN): 9789811215520
Издательство: World Scientific Publishing
Рейтинг:
Цена: 22968.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature?This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.

Автор: Mandelbrot Benoit B.
Название: Fractals: Form, Chance and Dimension
ISBN: 1635618541 ISBN-13(EAN): 9781635618549
Издательство: Random House (USA)
Рейтинг:
Цена: 3398.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

Discover the Hidden Mathematics of Modern Geometry

Fractals, the never-ending geometric-mathematical patterns existing throughout nature, are revealed in the shapes of continents, galaxies, snowflakes, and grains of sand. In this fascinating and seminal volume, renowned pioneering-mathematician Benoit B. Mandelbrot explains his work on fractal geometry, mathematically translating the description of these complex shapes of nature.

Until Mandelbrot developed the concept of fractal geometry in the 1960s and 70s, most mathematicians believed these irregular shapes were too fragmented and amorphous to be described mathematically. Mandelbrot's revolutionary concept brought order to a variety of seemingly unsolvable problems in physics, biology, and financial markets.

Broad in application, this groundbreaking work will inform not just mathematicians, but anyone that appreciates the natural elegance of patterns made manifest. Featuring illustrations of mathematically defined shapes, Mandelbrot describes how geometric patterns relate to every aspect of the physical world around us.

Автор: Shier John
Название: Fractalize That! : A Visual Essay On Statistical Geometry
ISBN: 9813275162 ISBN-13(EAN): 9789813275164
Издательство: World Scientific Publishing
Рейтинг:
Цена: 11088.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Fractalize That! A Visual Essay on Statistical Geometry brings a new class of geometric fractals to a wider audience of mathematicians and scientists. It describes a recently discovered random fractal space-filling algorithm. Connections with tessellations and known fractals such as Sierpinski are developed. And, the mathematical development is illustrated by a large number of colorful images that will charm the readers.The algorithm claims to be universal in scope, in that it can fill any spatial region with smaller and smaller fill regions of any shape. The filling is complete in the limit of an infinite number of fill regions. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm.The mathematician will find a wealth of interesting conjectures supported by numerical computation. Physicists are offered a model looking for an application. The patterns generated are often quite interesting as abstract art. Readers can also create these computer-generated art with the advice and examples provided.

Автор: Roland L. Dobrushin; Shigeo Kusuoka
Название: Statistical Mechanics and Fractals
ISBN: 3540575162 ISBN-13(EAN): 9783540575160
Издательство: Springer
Рейтинг:
Цена: 3766.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume is composed of two texts, each representing the content of a course of lectures given by the authors. Pitched at graduate level, they are accessible as introductions to their respective subjects for students and non-specialists.

Автор: Edgar, Gerald A.
Название: Classics On Fractals
ISBN: 0367007398 ISBN-13(EAN): 9780367007393
Издательство: Taylor&Francis
Рейтинг:
Цена: 22202.00 р.
Наличие на складе: Поставка под заказ.

Описание: This book contains the 19 historic seminal papers on fractal geometry, dealing with such topics as non-differentiable functions, self-similarity, and fractional dimension. It is an invaluable reference for all researchers and students of fractal geometry.

Автор: Keith R. Wicks
Название: Fractals and Hyperspaces
ISBN: 354054965X ISBN-13(EAN): 9783540549659
Издательство: Springer
Рейтинг:
Цена: 3487.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Designed for all researchers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this text introduces the "view" as part of a framework for studying the structure of sets within a given space, leading to concepts of fractality and self-similarity.

Название: Chaos, Noise and Fractals
ISBN: 0367403404 ISBN-13(EAN): 9780367403409
Издательство: Taylor&Francis
Рейтинг:
Цена: 9798.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos.

Автор: Heinz-Otto Peitgen; Hartmut J?rgens; Dietmar Saupe
Название: Fractals for the Classroom: Strategic Activities Volume One
ISBN: 038797346X ISBN-13(EAN): 9780387973463
Издательство: Springer
Рейтинг:
Цена: 12157.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Another is to show how fractals connect to many different aspects of mathematics and how the study of fractals can bring these ideas together. To the mathematics teacher, fractals offer a unique, new opportunity to illustrate both the dynamics of mathematics and its many connecting links.

Автор: Theo F. Nonnenmacher; Gabriele A. Losa; Ewald R. W
Название: Fractals in Biology and Medicine
ISBN: 3764329890 ISBN-13(EAN): 9783764329891
Издательство: Springer
Рейтинг:
Цена: 5223.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. This book extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine.