The elements of Cantor sets. With applications (Q2842899)

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scientific article; zbMATH DE number 6196860
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English
The elements of Cantor sets. With applications
scientific article; zbMATH DE number 6196860

    Statements

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    8 August 2013
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    Cantor sets
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    continued fractions
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    p-adic numbers
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    self-similarity
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    dimensions
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    porosity
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    thickness
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    The elements of Cantor sets. With applications (English)
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    The present book is dealing with various subjects connected with the concept of Cantor sets. The author considers the role of these sets in the theories of continued fractions, p-adic numbers, self-similar fractals, fractional dimensions, porosity and thickness, and various generalizations and applications of Cantor's construction. In addition, the book contains a quick biography of Georg Cantor and numerous exercises. The book is written in a clear style and can be used as a source for a course for senior-level class students.
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