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The Geometry of Fractal Sets by Kenneth Falconer

Related Categories:
Geometry Elementary Geometry Analytic Geometry Differential Geometry Algebraic Geometry Non Euclidean Geometry Computational Geometry Topology



Fractal Geometry - Table of Contents

  • PART I: FOUNDATIONS
  • 1. Mathematical Background
  • 2. Hausdorff Measure and Dimension
  • 3. Alternative Definitions of Dimension
  • 4. Techniques for Calculating Dimension
  • 5. Local Structure of Fractals
  • 6. Projections of Fractals
  • 7. Products of Fractals
  • 8. Intersections of Fractals
  • PART II: APPLICATIONS AND EXAMPLES
  • 9. Iterated Function Systems: Self-Similar and Self-Affine Sets
  • 10. Examples from Number Theory
  • 11. Graphs of Functions
  • 12. Examples from Pure Mathematics
  • 13. Dynamical Systems
  • 14. Iteration of Complex Functions – Julia Sets
  • 15. Random Fractals
  • 16. Brownian Motion and Brownian Surfaces
  • 17. Multifractal Measures
  • 18. Physical Applications

What You Will Learn in Fractal Geometry

The Geometry of Fractal Sets by Kenneth Falconer serves as a seminal text in pure mathematics and real analysis. Accessing this kenneth falconer the geometry of fractal sets pdf allows graduate students and researchers to study fractional dimensions, capacity, and density theorems in rigorous detail.

The monograph systematically explores outer measures, projections of fractal sets, self-similar sets, and harmonic analysis. Studying this classic geometry of fractal sets falconer book provides essential analytical tools necessary for advanced research in geometric measure theory and dynamical systems.

Available as an open academic reference the geometry of fractal sets pdf download, this fundamental work remains an indispensable guide for analysts, topologists, and theoretical mathematicians worldwide.

Book Details & Specifications

Title: The Geometry of Fractal Sets by Kenneth Falconer
Publisher: John Wiley &Sons
Year: 1990
Pages: 155
Type: PDF
Language: English
ISBN-10 #: 0521337054
ISBN-13 #: 978-0521337052
License: University Educational Resource
Amazon: Amazon

About the Author: Kenneth J. Falconer

The author Kenneth J. Falconer is a distinguished Professor of Mathematics and Regius Professor at the University of St Andrews, Scotland.

A internationally acclaimed authority in fractal geometry and geometric measure theory, his foundational publication The Geometry of Fractal Sets by Kenneth Falconer laid the rigorous mathematical groundwork for modern fractal analysis.

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