Fractal Analysis

Fractal Analysis

© 2010 | 112 pages | SAGE Publications, Inc

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.

Key Features

  • Detailed examples help readers learn and understand the analytical methods presented.
  • Matlab codes for programs allow users to implement, on their own, some of the techniques described in the text. Visit for more details.
  • Clear and logical explanations of fractals and their analysis enable the instructor to easily teach and the student to easily learn the material.

This is the only book designed to introduce fractal analysis to a general social science audience.

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About the Authors
Series Editor's Introduction
Chapter 1. Introduction to Fractal Analysis
What Are Fractals?  
Fractal Dimension: Quantifying Fractal Properties  
The Formal Definition of Fractals  
Chapter 2. Fractal Analysis of Frequency Distributions
Power Laws  
Chapter 3. Fractal Patterns Embedded in Two Dimensions
Estimating the Fractal Dimension of Empirical Data  
Summary and Discussion  
Chapter 4. Social Processes That Generate Fractals
How We Do Our "To Do" Lists: Preferential Priorities  
How We Kill: Attendant Causes, Self-Organized Criticality, and Agent-Based Models  
How We Network: Preferential Attachment  
How We Decide Where to Live: Diffusion Limited Aggregation  
How We Look for Food: Lévy Flights  
How We Live Together: Balancing Cohesive and Disruptive Forces  
Summary and Discussion  
Chapter 5. Advanced Topics in Fractal Analysis
Multiscaling Fractal Patterns  
Patterns Embedded in Three Dimensions  
Self-Affine Fractals  
Fractal Time Series  
Chapter 6. Final Considerations
Should I Try Fractal Analysis?  
Author Index
Subject Index
Key features
The authors plan to include a modest number of illustrations, specifically, line drawings of different kinds of fractals, such as the middle-third Cantor Set and the Sierpinski Triangle, and an illustration of how the box-counting method operates. Inevitably, the text includes a number of formulas as well

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ISBN: 9781412971652

This title is also available on SAGE Research Methods, the ultimate digital methods library. If your library doesn’t have access, ask your librarian to start a trial.