A Fractal Topology Of Time PDF Download
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Author | : Kerri I Welch |
Publisher | : |
Total Pages | : 148 |
Release | : 2020-03-02 |
Genre | : Philosophy |
ISBN | : 9781734576207 |
Download A Fractal Topology of Time Book in PDF, ePub and Kindle
This book will challenge how you think about time. Physics describes time as spatialized, static, and reversible, while we experience time as textured, flowing, and unidirectional. No model is better suited to capture time's quantitative and qualitative aspects than the cyclicity, creativity, and infinite depths of fractals.
Author | : Kerri Welch |
Publisher | : |
Total Pages | : 201 |
Release | : 2010 |
Genre | : |
ISBN | : |
Download A Fractal Topology of Time Book in PDF, ePub and Kindle
Author | : Benoit Mandelbrot |
Publisher | : Echo Point Books & Media, LLC |
Total Pages | : 0 |
Release | : 2021-07-16 |
Genre | : |
ISBN | : 9781648370410 |
Download The Fractal Geometry of Nature Book in PDF, ePub and Kindle
Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.
Author | : Michael Fielding Barnsley |
Publisher | : Cambridge University Press |
Total Pages | : 464 |
Release | : 2006-09-07 |
Genre | : Computers |
ISBN | : 0521844932 |
Download SuperFractals Book in PDF, ePub and Kindle
SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
Author | : Manuel Fernández-Martínez |
Publisher | : Springer |
Total Pages | : 204 |
Release | : 2019-04-23 |
Genre | : Mathematics |
ISBN | : 3030166457 |
Download Fractal Dimension for Fractal Structures Book in PDF, ePub and Kindle
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts. In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithms for properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and Lévy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes. This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.
Author | : Alain Le Mehaute |
Publisher | : CRC Press |
Total Pages | : 214 |
Release | : 1991-11-11 |
Genre | : Mathematics |
ISBN | : 9780849377228 |
Download Fractal Geometries Theory and Applications Book in PDF, ePub and Kindle
Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or disparate in a single theoretical framework, but it also promotes a return to graphical treatment, which had been almost completely banished from scientific thought in favor of analysis. This book casts a new, lively light on scientific territories still not fully explored. It is designed for research workers, engineers, and experimentalists faced with problems of measure and action in heterogenous materials and environments. Several color plates illustrate the implications and consequences of this theory for most of the questions raised by the taking into consideration of time in a fractal space.
Author | : James B Bassingthwaighte |
Publisher | : Springer |
Total Pages | : 371 |
Release | : 2013-05-27 |
Genre | : Medical |
ISBN | : 1461475724 |
Download Fractal Physiology Book in PDF, ePub and Kindle
I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.
Author | : Eric Baird |
Publisher | : Chocolate Tree Books |
Total Pages | : 233 |
Release | : 2011 |
Genre | : Design |
ISBN | : 0955706831 |
Download Alt.fractals Book in PDF, ePub and Kindle
"Where most books on fractals concentrate on mathematical theory, Alt. Fractals takes a graphical approach. starting with the fractal "standards"--The Sierpinski Triangle and Pyramid, Menger Sponge, Julia Mandelbrot sets - Alt. Fractals explores the world of variations one step removed from the usual textbook versions."--Back cover.
Author | : Laurent Nottale |
Publisher | : World Scientific |
Total Pages | : 358 |
Release | : 1993 |
Genre | : Science |
ISBN | : 9789810208783 |
Download Fractal Space-time and Microphysics Book in PDF, ePub and Kindle
This is the first detailed account of a new approach to microphysics based on two leading ideas: (i) the explicit dependence of physical laws on scale encountered in quantum physics, is the manifestation of a fundamental principle of nature, scale relativity. This generalizes Einstein's principle of (motion) relativity to scale transformations; (ii) the mathematical achievement of this principle needs the introduction of a nondifferentiable space-time varying with resolution, i.e. characterized by its fractal properties.The author discusses in detail reactualization of the principle of relativity and its application to scale transformations, physical laws which are explicitly scale dependent, and fractals as a new geometric description of space-time.
Author | : Christopher J. Bishop |
Publisher | : Cambridge University Press |
Total Pages | : 415 |
Release | : 2017 |
Genre | : Mathematics |
ISBN | : 1107134110 |
Download Fractals in Probability and Analysis Book in PDF, ePub and Kindle
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.