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Fractal Analysis

2010-04-14 Social Science
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Release : 2010-04-14
Genre : Social Science
Kind : eBook
Book Rating : 12X/5 ( reviews)

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Book Synopsis Fractal Analysis by : Clifford Brown

Download or read book Fractal Analysis written by Clifford Brown. This book was released on 2010-04-14. Available in PDF, EPUB and Kindle. Book excerpt: A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. This is the only book designed to introduce fractal analysis to a general social science audience.

Fractal-Based Methods in Analysis

2011-11-18 Mathematics
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Release : 2011-11-18
Genre : Mathematics
Kind : eBook
Book Rating : 917/5 ( reviews)

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Book Synopsis Fractal-Based Methods in Analysis by : Herb Kunze

Download or read book Fractal-Based Methods in Analysis written by Herb Kunze. This book was released on 2011-11-18. Available in PDF, EPUB and Kindle. Book excerpt: The idea of modeling the behaviour of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscale objects; they very often describe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations and dynamical systems. "Fractal-Based Methods in Analysis" draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of the chapters. For each topic the theoretical framework is carefully explained using examples and applications. The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises. This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course. The other chapters illustrate many extensions and applications of fractal-based methods to different areas. This book is intended for graduate students and researchers in applied mathematics, engineering and social sciences. Herb Kunze is a professor of mathematics at the University of Guelph in Ontario. Davide La Torre is an associate professor of mathematics in the Department of Economics, Management and Quantitative Methods of the University of Milan. Franklin Mendivil is a professor of mathematics at Acadia University in Nova Scotia. Edward Vrscay is a professor in the department of Applied Mathematics at the University of Waterloo in Ontario. The major focus of their research is on fractals and the applications of fractals.

Fractal Market Analysis

1994-02-08 Business & Economics
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Release : 1994-02-08
Genre : Business & Economics
Kind : eBook
Book Rating : 244/5 ( reviews)

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Book Synopsis Fractal Market Analysis by : Edgar E. Peters

Download or read book Fractal Market Analysis written by Edgar E. Peters. This book was released on 1994-02-08. Available in PDF, EPUB and Kindle. Book excerpt: A leading pioneer in the field offers practical applications of this innovative science. Peters describes complex concepts in an easy-to-follow manner for the non-mathematician. He uses fractals, rescaled range analysis and nonlinear dynamical models to explain behavior and understand price movements. These are specific tools employed by chaos scientists to map and measure physical and now, economic phenomena.

Measure, Topology, and Fractal Geometry

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 340/5 ( reviews)

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Book Synopsis Measure, Topology, and Fractal Geometry by : Gerald A. Edgar

Download or read book Measure, Topology, and Fractal Geometry written by Gerald A. Edgar. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1

Fractal Analysis for Natural Hazards

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 014/5 ( reviews)

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Book Synopsis Fractal Analysis for Natural Hazards by : Giuseppe Cello

Download or read book Fractal Analysis for Natural Hazards written by Giuseppe Cello. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: In the Earth Sciences, the concept of fractals and scale invariance is well-recognized in many natural objects. However, the use of fractals for spatial and temporal analyses of natural hazards has been less used (and accepted) in the Earth Sciences. This book brings together twelve contributions that emphasize the role of fractal analyses in natural hazard research, including landslides, wildfires, floods, catastrophic rock fractures and earthquakes. A wide variety of spatial and temporal fractal-related approaches and techniques are applied to 'natural' data, experimental data, and computer simulations. These approaches include probabilistic hazard analysis, cellular-automata models, spatial analyses, temporal variability, prediction, and self-organizing behaviour. The main aims of this volume are to present current research on fractal analyses as applied to natural hazards, and to stimulate the curiosity of advanced Earth Science students and researchers in the use of fractals analyses for the better understanding of natural hazards.

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