Introducing Fractals

Introducing Fractals
Author : Nigel Lesmoir-Gordon
Publisher :
Total Pages : 176
Release : 2009
ISBN 10 : 1848310870
ISBN 13 : 9781848310872
Language : EN, FR, DE, ES & NL

Introducing Fractals Book Description:

From Zeno to Mandelbrot: explore this new language with which you can describe the shape of cloud as precisely as an architect can describe a house.

Introducing Fractals

Introducing Fractals
Author : Nigel Lesmoir-Gordon
Publisher : Icon Books Ltd
Total Pages : 176
Release : 2014-06-05
ISBN 10 : 9781848317833
ISBN 13 : 1848317832
Language : EN, FR, DE, ES & NL

Introducing Fractals Book Description:

Fractals are the geometry of the natural world. They're about the broken, wrinkled, wiggly world- the uneven shapes of nature, unlike the idealised forms of Euclidean geometry. We see fractals everywhere; indeed, we are fractals ourselves. Fractal geometry is an extension of classical geometry which can make precise models of physical structures, from ferns to galaxies. It can describe the shape of a cloud as precisely as an architect can describe a house. Introducing Fractals traces the historical development of this mathematical discipline, explores its descriptive powers in the natural world, and then looks at the applications and the implications of the discoveries it has made. As John Archibald Wheeler, protégé of Niels Bohr, friend of Albert Einstein and mentor of Richard Feynman has said, 'No one will be considered scientifically literate tomorrow, who is not familiar with fractals.'

Introducing Fractal Geometry

Introducing Fractal Geometry
Author : Nigel Lesmoir-Gordon
Publisher : Totem Books
Total Pages : 174
Release : 2000
ISBN 10 : UOM:49015002827435
ISBN 13 :
Language : EN, FR, DE, ES & NL

Introducing Fractal Geometry Book Description:

Fractal Geometry is the geometry of the natural world - animal, vegetable ad mineral. It's about the broken, wrinkled, wiggly world - the uneven shapes of nature, unlike the idealised forms of Euclidean geometry.

Fractals A Very Short Introduction

Fractals  A Very Short Introduction
Author : Kenneth Falconer
Publisher : OUP Oxford
Total Pages : 152
Release : 2013-09-26
ISBN 10 : 9780191663451
ISBN 13 : 019166345X
Language : EN, FR, DE, ES & NL

Fractals A Very Short Introduction Book Description:

Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Fractals A Very Short Introduction

Fractals  A Very Short Introduction
Author : K. J. Falconer
Publisher : Oxford University Press
Total Pages : 132
Release : 2013-09-26
ISBN 10 : 9780199675982
ISBN 13 : 0199675988
Language : EN, FR, DE, ES & NL

Fractals A Very Short Introduction Book Description:

An essential discussion of the popular science and mathematics behind fractals reveals how fractal shapes can be found everywhere in nature from clouds to coastlines, explaining how basic concepts in fractal geometry produced a revolution in mathematical understandings of patterns in the 20th century. Original.

Chaos and Fractals

Chaos and Fractals
Author : David P. Feldman
Publisher : Oxford University Press
Total Pages : 408
Release : 2012-08-09
ISBN 10 : 9780199566440
ISBN 13 : 0199566445
Language : EN, FR, DE, ES & NL

Chaos and Fractals Book Description:

For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.

Chaos and Fractals

Chaos and Fractals
Author : David P. Feldman
Publisher : Oxford University Press
Total Pages : 408
Release : 2012-08-09
ISBN 10 : 9780199566433
ISBN 13 : 0199566437
Language : EN, FR, DE, ES & NL

Chaos and Fractals Book Description:

For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.

A Concise Introduction to Hypercomplex Fractals

A Concise Introduction to Hypercomplex Fractals
Author : Andrzej Katunin
Publisher : CRC Press
Total Pages : 91
Release : 2017-10-05
ISBN 10 : 9781351801218
ISBN 13 : 135180121X
Language : EN, FR, DE, ES & NL

A Concise Introduction to Hypercomplex Fractals Book Description:

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets, through the generalizations of Julia and Mandelbrot sets on a complex plane and the Holy Grail of the fractal geometry – a 3D Mandelbrot set, and ending with hypercomplex, multicomplex and multihypercomplex fractal sets which are still under consideration of scientists. I tried to write this book in a possibly simple way in order to make it understandable to most people whose math knowledge covers the fundamentals of complex numbers only. Moreover, the book is full of illustrations of generated fractals and stories concerned with great mathematicians, number spaces and related fractals. In the most cases only information required for proper understanding of a nature of a given vector space or a construction of a given fractal set is provided, nevertheless a more advanced reader may treat this book as a fundamental compendium on hypercomplex fractals with references to purely scientific issues like dynamics and stability of hypercomplex systems.

Fractals

Fractals
Author : Behzad Ghanbarian
Publisher : CRC Press
Total Pages : 352
Release : 2017-11-23
ISBN 10 : 9781351648301
ISBN 13 : 1351648306
Language : EN, FR, DE, ES & NL

Fractals Book Description:

This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology. In the first chapter, we introduce fractals and multifractals from physics and math viewpoints. We then discuss theory and practical applications in detail. In what follows, in chapter 2, fragmentation process is modeled using fractals. Fragmentation is the breaking of aggregates into smaller pieces or fragments, a typical phenomenon in nature. In chapter 3, the advantages and disadvantages of two- and three-phase fractal models are discussed in detail. These two kinds of approach have been widely applied in the literature to model different characteristics of natural phenomena. In chapter 4, two- and three-phase fractal techniques are used to develop capillary pressure curve models, which characterize pore-size distribution of porous media. Percolation theory provides a theoretical framework to model flow and transport in disordered networks and systems. Therefore, following chapter 4, in chapter 5 the fractal basis of percolation theory and its applications in surface and subsurface hydrology are discussed. In chapter 6, fracture networks are shown to be modeled using fractal approaches. Chapter 7 provides different applications of fractals and multifractals to petrophysics and relevant area in petroleum engineering. In chapter 8, we introduce the practical advantages of fractals and multifractals in geostatistics at large scales, which have broad applications in stochastic hydrology and hydrogeology. Multifractals have been also widely applied to model atmospheric characteristics, such as precipitation, temperature, and cloud shape. In chapter 9, these kinds of properties are addressed using multifractals. At watershed scales, river networks have been shown to follow fractal behavior. Therefore, the applications of fractals are addressed in chapter 10. Time series analysis has been under investigations for several decades in physics, hydrology, atmospheric research, civil engineering, and water resources. In chapter 11, we therefore, provide fractal, multifractal, multifractal detrended fluctuation analyses, which can be used to study temporal characterization of a phenomenon, such as flow discharge at a specific location of a river. Chapter 12 addresses signals and again time series using a novel fractal Fourier analysis. In chapter 13, we discuss constructal theory, which has a perspective opposite to fractal theories, and is based on optimizationof diffusive exchange. In the case of river drainages, for example, the constructal approach begins at the divide and generates headwater streams first, rather than starting from the fundamental drainage pattern.

Application of Fractals in Earth Sciences

Application of Fractals in Earth Sciences
Author : V.P. Dimri
Publisher : CRC Press
Total Pages : 248
Release : 2000-01-01
ISBN 10 : 9054102845
ISBN 13 : 9789054102847
Language : EN, FR, DE, ES & NL

Application of Fractals in Earth Sciences Book Description:

This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.