Fractals in Geography
Author: Nina Siu Ngan Lam
Publisher: Prentice Hall
Published: 1993
Total Pages: 330
ISBN-13:
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Fractals in Geography
Author: Nina Siu Ngan Lam
Publisher:
Published: 2002-01-01
Total Pages: 308
ISBN-13: 9781930665699
DOWNLOAD EBOOKFor professionals and graduate and advanced undergraduate students in geography, this book explains the basics of fractals, how to describe fractal phenomena, and how to make fractal patterns in the study and practice of physical and human geography, and the mapping sciences. Among the topics covered are interpreting the fractal dimension of river networks, fractal geometry and urban morphology and fractal terrain simulation.
Fractal Geography
Author: André Dauphiné
Publisher: John Wiley & Sons
Published: 2013-01-09
Total Pages: 254
ISBN-13: 1118603168
DOWNLOAD EBOOKOur daily universe is rough and infinitely diverse. The fractal approach clarifies and orders these disparities. It helps us to envisage new explanations of geographical phenomena, which are, however, considered as definitely understood. Written for use by geographers and researchers from similar disciplines, such as ecologists, economists, historians and sociologists, this book presents the algorithms best adapted to the phenomena encountered, and proposes case studies illustrating their applications in concrete situations. An appendix is also provided that develops programs written in Mathematica. Contents 1. A Fractal World. 2. Auto-similar and Self-affine Fractals. 3. From the Fractal Dimension to Multifractal Spectrums. 4. Calculation and Interpretation of Fractal Dimensions. 5. The Fractal Dimensions of Rank-size Distributions. 6. Calculation and Interpretation of Multifractal Spectrums. 7. Geographical Explanation of Fractal Forms and Dynamics. 8. Using Complexity Theory to Explain a Fractal World. 9. Land-use Planning and Managing a Fractal Environment.
Application of Fractals in Earth Sciences
Author: V.P. Dimri
Publisher: CRC Press
Published: 2000-01-01
Total Pages: 254
ISBN-13: 9789054102847
DOWNLOAD EBOOKThis 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.
Fractal Geometry in Human Geography and Planning
Author: Cécile Tannier
Publisher: John Wiley & Sons
Published: 2024-07-19
Total Pages: 372
ISBN-13: 1394306555
DOWNLOAD EBOOKThe aim of this book is to provide an overview of the concepts and methods used in fractal analysis and modeling in order to study the spatial distribution of human settlements. The main concepts and mathematical tools are reviewed, and emphasis is placed on the practical benefits of their application and the pitfalls to be avoided when using them. The first part of the book is devoted to the basic concepts and geometric reference figures required for fractal analysis in human geography. In the second part, the principles of four major families of analysis methods are explained in detail: fractal analyses of point sequences, fractal methods for morphological delineation of urban agglomerations, multifractal analyses and cross scale signatures. The third part of the book is devoted to applications of fractal geometry in urban and regional planning.
The Grapes of Math
Author: Alex Bellos
Publisher: Simon and Schuster
Published: 2014-06-10
Total Pages: 352
ISBN-13: 1451640129
DOWNLOAD EBOOKFrom triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
Fractals and Dynamic Systems in Geoscience
Author: Jörn H. Kruhl
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 411
ISBN-13: 3662073048
DOWNLOAD EBOOKFractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.
Fractals: A Very Short Introduction
Author: Kenneth Falconer
Publisher: OUP Oxford
Published: 2013-09-26
Total Pages: 153
ISBN-13: 0191663441
DOWNLOAD EBOOKMany 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.
Fractal Analysis for Natural Hazards
Author: Giuseppe Cello
Publisher: Geological Society of London
Published: 2006
Total Pages: 190
ISBN-13: 9781862392014
DOWNLOAD EBOOKIn 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.
Fractal Analysis
Author: Clifford Brown
Publisher: SAGE Publications
Published: 2010-04-14
Total Pages: 113
ISBN-13: 148334312X
DOWNLOAD EBOOKA 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.
