Fractals Everywhere
eBook - PDF

Fractals Everywhere

  1. 548 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Fractals Everywhere

About this book

Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-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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Yes, you can access Fractals Everywhere by Michael F. Barnsley in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780120790616
eBook ISBN
9781483257693
Edition
2
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Fractals Everywhere
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Foreword to the Second Edition
  7. Acknowledgments
  8. Chapter I. Introduction
  9. Chapter II. Metric Spaces; Equivalent Spaces; Classification of Subsets; and the Space of Fractals
  10. Chapter III. Transformations on Metric Spaces; Contraction Mappings; and the Construction of Fractals
  11. Chapter IV. Chaotic Dynamicson Fractals
  12. Chapter V. Fractal Dimension
  13. Chapter VI. Fractal Interpolation
  14. Chapter VII. Julia Sets
  15. Chapter VIII. Parameter Spaces and Mandelbrot Sets
  16. Chapter IX. Measures on Fractals
  17. Chapter X. Recurrent Iterated Function Systems
  18. References
  19. Selected Answers
  20. Index
  21. Credits for Figures and Color Plates