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- Title: The Fractal Geometry of Nature
- Author(s) Benoit Mandelbrot
- Publisher: Echo Point Books & Media, LLC (July 16, 2021)
- Hardcover: 490 pages
- eBook: PDF, ePub, Kindle, etc.
- Language: English
- ASIN/ISBN-10: 1648370403
- ISBN-13: 978-1648370403
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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, economist, and visionary Benoit B Mandelbrot's fascinating work has inspired popular interest in the geometry inherent in the natural world.
This definitive overview builds on Mandelbrot's 1977 work, Fractals: Form, Chance and Dimension (also published by Echo Point Books), revealing an in-depth look at this still-emerging field.
Richly illustrated and presented in an engaging manner which embraces geometric and visual dimensions interspersed with aspects of theory, this book will inspire curiosity and wonder in artists, mathematicians and naturalists alike.
As technology has improved, mathematically accurate, computer-drawn fractals have become more detailed. Early drawings were low-resolution black and white; later drawings were higher resolution and in color. Many examples were created by programmers working with Mandelbrot, primarily at IBM Research. These visualizations have added to persuasiveness of the books and their impact on the scientific community.
About the Authors- 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".
- The Fractal Geometry of Nature (Benoit Mandelbrot)
- The Mirror Site (1) - PDF
- The Mirror Site (2) - PDF
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Fractals: Art to Applied Science (Benjamin Kenwright)
This text is a reference for learning and mastering Fractals (theoretical and applied perspective). It discuss how the fractal algorithms function, present code examples in editable sandboxes with explanations.
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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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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.
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Fractal Geometry (Mark McClure, et al.)
Fractal geometry is a new way of looking at the world. 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.
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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.
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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.
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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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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.
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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.
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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.
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