Fractal Analysis
Clifford T. Brown
- Florida Atlantic University, USA
Larry S. Liebovitch
- Florida Atlantic University, USA
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Go to College Publishing WebsiteDescription
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.
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.
Contents
About the Authors
About the Authors
Series Editor's Introduction
Series Editor's Introduction
Preface
Preface
Chapter 1. Introduction to Fractal Analysis
- Mandelbrot
- What Are Fractals?
- Fractal Dimension: Quantifying Fractal Properties
- The Formal Definition of Fractals
- Discussion
Chapter 2. Fractal Analysis of Frequency Distributions
- Power Laws
- Summary
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
- Multifractals
- Lacunarity
- Conclusion
Chapter 6. Final Considerations
- Should I Try Fractal Analysis?
References
References
Author Index
Author Index
Subject Index
Subject Index
Description
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.
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.
Contents
About the Authors
About the Authors
Series Editor's Introduction
Series Editor's Introduction
Preface
Preface
Chapter 1. Introduction to Fractal Analysis
- Mandelbrot
- What Are Fractals?
- Fractal Dimension: Quantifying Fractal Properties
- The Formal Definition of Fractals
- Discussion
Chapter 2. Fractal Analysis of Frequency Distributions
- Power Laws
- Summary
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
- Multifractals
- Lacunarity
- Conclusion
Chapter 6. Final Considerations
- Should I Try Fractal Analysis?
References
References
Author Index
Author Index
Subject Index
Subject Index
April 2010 | 112 pages | Sage US
| Format | Published Date | ISBN | Price |
|---|
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.
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.
Table Of Contents:
- About the Authors
- Series Editor's Introduction
- Preface
- Chapter 1. Introduction to Fractal Analysis
- Mandelbrot
- What Are Fractals?
- Fractal Dimension: Quantifying Fractal Properties
- The Formal Definition of Fractals
- Discussion
- Chapter 2. Fractal Analysis of Frequency Distributions
- Power Laws
- Summary
- 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
- Multifractals
- Lacunarity
- Conclusion
- Chapter 6. Final Considerations
- Should I Try Fractal Analysis?
- References
- Author Index
- Subject Index