FRACTALS AND DYNAMICS IN MATHEMATICS, SCIENCE, AND THE ARTS: THEORY AND APPLICATIONS – serie
Visar alla böcker i serien FRACTALS AND DYNAMICS IN MATHEMATICS, SCIENCE, AND THE ARTS: THEORY AND APPLICATIONS. Handla med fri frakt och snabb leverans.
9 produkter
ANALYSIS, PROBABILITY AND MATHEMATICAL PHYSICS ON FRACTALS
Av Ruiz Patricia Alonso, Patricia Alonso Ruiz m. fl.
Inbunden, 2020
2173 kr
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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 …
EQUIDISTRIBUTION OF DYNAMICAL SYSTEMS: TIME-QUANTITATIVE SECOND LAW
Av Jozsef Beck
Inbunden, 2020
2122 kr
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We know very little about the time-evolution of many-particle dynamical systems, the subject of our book. Even the 3-body problem has no explicit solution (we cannot solve the corresponding system of differential equations, and computer simulation indicates hopelessly chaotic behaviour). For …
LECTURES ON FRACTAL GEOMETRY
Inbunden, 2024
1112 kr
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This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the period from 1995 up to 2015. It is completed by additional material and extensions of some basic results from the literature to more general metric spaces.This book provides a clear …
QUANTIZED NUMBER THEORY, FRACTAL STRINGS AND THE RIEMANN HYPOTHESIS: FROM SPECTRAL OPERATORS TO PHASE TRANSITIONS AND UNIVERSALITY
Av Hafedh Herichi, Michel L Lapidus
Inbunden, 2021
2038 kr
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Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and …
ELEGANT FRACTALS: AUTOMATED GENERATION OF COMPUTER ART
Inbunden, 2018
1759 kr
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Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can …
FRACTALIZE THAT! : A VISUAL ESSAY ON STATISTICAL GEOMETRY
Av John Shier
Inbunden, 2019
1156 kr
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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 …
EXPLORING SCALE SYMMETRY
Av Thomas Lowe
Inbunden, 2021
1246 kr
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Welcome to the world of scale symmetry, the last elementary symmetry and the least explored!Find out how this long-neglected element transforms the traditional geometry of lines and planes into a rich landscape of trees, craggy mountains and rolling oceans.Enjoy a visual exploration through the …
BENOIT MANDELBROT: A LIFE IN MANY DIMENSIONS
Av Frame Michael, Michael Frame m. fl.
Inbunden, 2015
3019 kr
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This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, …
SELF-SIMILAR ENERGIES ON FINITELY RAMIFIED FRACTALS
Inbunden, 2025
2260 kr
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This monograph delves into the theory of self-similar energies on finitely ramified self-similar fractals. Using these self-similar energies, one can construct Laplacians, harmonic functions, Brownian motion, and differential equations specific to these fractals.On finitely ramified fractals, …