Abstract
This short chapter discusses fractals and iterated function systems in terms of the Hausdorff metric and gives a vivid illustration of the power of the abstract methods developed in the previous chapter.
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- 1.
We prefer to use the term ‘operator’ rather than ‘map’.
- 2.
This result appears in some form, often without proof, in every undergraduate or high school text on Calculus.
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The paradox is now fully established that the utmost abstractions are the true weapons with which to control our thought of concrete fact. Alfred North Whitehead, from Science and the Modern World [29].
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Field, M. (2017). Fractals and Iterated Function Systems. In: Essential Real Analysis. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-67546-6_8
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DOI: https://doi.org/10.1007/978-3-319-67546-6_8
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