• 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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Book Description

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.

• 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".

• Amazon (Fractal Worlds: Grown, Built, and Imagined)
• Amazon (Fractals: A Very Short Introduction)

• Fractal Geometry and Fractals
• Geometry and Topology
• Differential Equations and Dynamical Systems
• Computer Graphics, 3D, Animation and Imaging

• Fractal Geometry (Mark McClure, et al.)
• The Mirror Site (1) - HTML
• The Mirror Site (2) - PDF
• The Mirror Site (3) - PDF

• 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.

• A Tale of Two Fractals (A.A. Kirillov)

  This book provides an original treatment of Fractals that is at once accessible to beginners and sufficiently rigorous for serious mathematicians. It is designed to give young, non-specialist mathematicians a solid foundation in the theory of fractals.

• Fractals in Probability and Analysis (Christopher J. Bishop, et al.)

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• Strange Attractors: Creating Patterns in Chaos (Julien C. Sprott)

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• Conformal Fractals: Ergodic Theory Methods (Feliks Przytycki, ...)

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• Chaos and Fractals (Larry Bradley)

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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.