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Basic IFS Theory

In: Fractal-Based Methods in Analysis

Author

Listed:
  • Herb Kunze

    (University of Guelph, Department of Mathematics and Statistics)

  • Davide La Torre

    (University of Milan, Department of Economics, Business and Statistics)

  • Franklin Mendivil

    (Acadia University, Department of Mathematics and Statistics)

  • Edward R. Vrscay

    (University of Waterloo, Department of Applied Mathematics)

Abstract

In this chapter, we give a short presentation of the classical theory of iterated function systems (IFSs). Our main purpose in doing this is to make this book as self-contained as possible. We also hope that this chapter might be used by a beginner to learn this theory. As such, the tone in this chapter is more expository than in some of the other chapters, and we give more attention to pedagogical motivation.

Suggested Citation

  • Herb Kunze & Davide La Torre & Franklin Mendivil & Edward R. Vrscay, 2012. "Basic IFS Theory," Springer Books, in: Fractal-Based Methods in Analysis, chapter 0, pages 21-85, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1891-7_2
    DOI: 10.1007/978-1-4614-1891-7_2
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