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- Title: Fractal Geometry: Mathematical Foundations and Applications
- Author(s) Kenneth Falconer
- Publisher: John Wiley &Sons; 2nd edition; eBook (Internet Archive Edition)
- Paperback: 368 pages
- eBook: PDF, ePub, Kindle, etc.
- Language: English
- ASIN/ISBN-10: 0470848626
- ISBN-13: 978-0470848623
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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.
- Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals.
- Each topic is carefully explained and illustrated by examples and figures.
- Includes all necessary mathematical background material.
- Includes notes and references to enable the reader to pursue individual topics.
- Features a wide selection of exercises, enabling the reader to develop their understanding of the theory.
- Supported by a Web site featuring solutions to exercises, and additional material for students and lecturers.
It is aimed at undergraduate and graduate students studying courses in fractal geometry. The book also provides an excellent source of reference for researchers who encounter fractals in mathematics, physics, engineering, and the applied sciences.
About the Authors- 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".
- Fractal Geometry and Fractals
- Geometry and Topology
- Differential Equations and Dynamical Systems
- Computer Graphics, 3D, Animation and Imaging
- Computer, Digital, Electronic, and Mathematical Music
- Fractal Geometry: Mathematical Foundations and Applications (Kenneth Falconer)
- 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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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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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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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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