Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets.
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Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals.
Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.
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Thanks in advance for your time. Skip to content. Search for books, journals or webpages All Pages Books Journals. However, due to transit disruptions in some geographies, deliveries may be delayed. View on ScienceDirect. Author: Michael F. Imprint: Academic Press. Published Date: 5th August Page Count: Flexible - Read on multiple operating systems and devices.
Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle. Institutional Subscription. Free Shipping Free global shipping No minimum order. Spaces 2. Metric Spaces 3. The Completeness of the Space of Fractals 8. Transformations on the Real Line 2. Affine Transformations in the Euclidean Plane 3. Analytic Transformations 5. How to Change Coordinates 6. The Contraction Mapping Theorem 7. Contraction Mappings on the Space of Fractals 8.
Condensation Sets The Addresses of Points on Fractals 2. Continuous Transformations from Code Space to Fractals 3. Introduction to Dynamical Systems 4. Equivalent Dynamical Systems 6. The Shadow of Deterministic Dynamics 7. Fractal Dimension 2. The Theoretical Determination of the Fractal Dimension 3.
The Experimental Determination of the Fractal Dimension 4. Introduction: Applications for Fractal Functions 2.
Fractal Interpolation Functions 3. Hidden Variable Fractal Interpolation 5. Mandelbrot Sets for Pairs of Transformations 3. The Mandelbrot Set for Julia Sets 4. Introduction to Invariant Measures on Fractals 2. Fields and Sigma-Fields 3.
Measures 4. Integration 5. A Contraction Mapping on P X 7. Elton's Theorem 8. Fractal Systems 2. Recurrent Iterated Function Systems 3. Powered by. You are connected as. Connect with:. Thank you for posting a review! We value your input. Share your review so everyone else can enjoy it too. Your review was sent successfully and is now waiting for our team to publish it. Reviews 0.
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Fractals Everywhere: New Edition
By Michael F. This new Dover edition, first published in , is a corrected, unabridged republication of the second edition of the work originally published in by Academic Press, Inc. For this new Dover edition, the author has provided an Introduction, an additional sixteen page color insert, and a fractal software CD. NET Framework Version 2. For contact information and any questions regarding the fractal software CD, go to www. Each year I teach the course differently, always trying to make the subject new, fresh, immediate, and related to my research interests at the time. In , when I first taught this material, in effect an introduction to iterated function systems, there was no suitable text.
Fractals Everywhere. Michael F. Wessel, Santa Clara University "The style of writing is technically excellent, informative, and entertaining. An exploration of the tools, methods, and theory of deterministic geometry, the treatment focuses on how fractal geometry can be used to model real objects in the physical world. Two sixteen-page full-color inserts contain fractal images, and a bonus CD of an IFS Generator provides an excellent software tool for designing iterated function systems codes and fractal images. Subsequent chapters examine transformations on metric spaces, dynamics on fractals, fractal dimension and interpolation, Julia sets, and parameter spaces. A final chapter introduces measures on fractals and measures in general.