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.
- Detailed examples help readers learn and understand the analytical methods presented.
- Matlab codes for programmes allow users to implement, on their own, some of the techniques described in the text. Visit http:/www.ccs.fau.edu/~liebovitch/larry.html 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.
Dr. Clifford T. Brown was awarded a B.A. in archaeology cum laude from Yale University. He earned his Master's and doctoral degrees from Tulane University. He has published a number of articles on fractal analysis in archaeology and anthropology. He teaches both undergraduate and graduate classes in the Department of Anthropology at Florida Atlantic University. Among the graduate classes is a required seminar entitled "Quantitative Reasoning in Anthropology' that includes extensive statistical content for social scientists. Dr. Larry S. Liebovitch was awarded a B.S. in physics summa cum laude from the City College of New York and his A.M. and Ph.D. in astronomy from Harvard University. He has published articles on fractal and nonlinear analysis in biophysical, medical, and psychological systems. He teaches both undergraduate and graduate classes in psychology, interdisciplinary science, and mathematics at Florida Atlantic University. Among his undergraduate courses are Applications of Fractals to Psychology for psychology students.
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: Levy 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