• 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
• Share This:  

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.

• The Fractional Calculus: Theory and Applications

  Not only does it explain the theory (Fractional Calculus) underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied.

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

  This is a mathematically rigorous introduction to Fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability. Chapters are designed to be read independently.

• 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.

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

  This is a one-stop introduction to the methods of Ergodic Theory applied to holomorphic iteration. Focus on the field of 1-dimensional holomorphic iterations and underlying Fractal sets, from the point of view of geometric measure theory and rigidity.

• Chaos and Fractals (Larry Bradley)

  This book provides the reader with an elementary introduction to Chaos and Fractals, suitable for readers with a background in elementary algebra, without assuming prior coursework in calculus or physics.

• Random Fractals (Peter Morters)

  Random Fractals are the method of choice when it comes to modelling landscapes, clouds and other natural phenomena. Describes the fundamentals of random fractals and some of the basic methods for their generation.

• 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.