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- Title: Fractal Geometry
- Author(s) Mark McClure, Michael Frame, Benoit Mandelbrot, Nial Neger
- Publisher: University of North Carolina, Yale University 2022
- Paperback: N/A
- eBook: HTML and PDF
- Language: English
- ASIN/ISBN-10: N/A
- ISBN-13: N/A
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Fractal geometry is a new way of looking at the world. We have been surrounded by natural patterns, unsuspected but easily recognized after only an hour's training. This is a collection of pages meant to support a first course in fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. Each of the topics contains examples of fractals in the arts, humanities, or social sciences.
This book combines text and graphics to offer the most accessible amount that any reader is likely to find, helping in the overall move toward scientific literacy.
The term fractal was coined around 1975 by Benoit Mandelbrot to intuitively describe an object as complicated, rough, or fractured.
About the Authors- Mark McClure is a Professor of Mathematics at University of North Carolina - Asheville.
- Michael Frame is an American mathematician and retired Yale professor.
- Benoit Mandelbrot was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".
- Geometry and Topology
- Differential Equations and Dynamical Systems
- Computer Graphics, 3D, Animation and Imaging
- Computer, Digital, Electronic, and Mathematical Music

- Fractal Geometry (Mark McClure, et al.)
- The Mirror Site (1) - HTML
- The Mirror Site (2) - PDF
- The Mirror Site (3) - PDF
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Strange Attractors: Creating Patterns in Chaos (Julien C. Sprott)
This book describes a simple method for generating an endless succession of beautiful Fractal patterns by iterating simple maps and ordinary differential equations with coefficients chosen automatically by the computer.
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Fractal Geometry: Mathematical Foundations and Applications
This book has become a seminal text on the mathematics of Fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines.
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The Fractal Geometry of Nature (Benoit Mandelbrot)
Explore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, etc.
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Topology without Tears (Sidney A. Morris)
General topology is the branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. The aim of this is to provide a thorough grouding of general topology. It offers an ideal introduction to the fundamentals of topology.
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Curves and Surfaces in Geometric Modeling: Theory and Algorithms
This book offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation. It is also an exellent introduction to geometry concepts used in computer graphics, vision, robotics, geometric modeling.
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