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The Elements of Cantor Sets - With Applications (Hardcover)
Loot Price: R2,463
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The Elements of Cantor Sets - With Applications (Hardcover)
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A systematic and integrated approach to Cantor Sets and their
applications to various branches of mathematics The Elements of
Cantor Sets: With Applications features a thorough introduction to
Cantor Sets and applies these sets as a bridge between real
analysis, probability, topology, and algebra. The author fills a
gap in the current literature by providing an introductory and
integrated perspective, thereby preparing readers for further study
and building a deeper understanding of analysis, topology, set
theory, number theory, and algebra. The Elements of Cantor Sets
provides coverage of: * Basic definitions and background theorems
as well as comprehensive mathematical details * A biography of
Georg Ferdinand Ludwig Philipp Cantor, one of the most significant
mathematicians of the last century * Chapter coverage of fractals
and self-similar sets, sums of Cantor Sets, the role of Cantor Sets
in creating pathological functions, p-adic numbers, and several
generalizations of Cantor Sets * A wide spectrum of topics from
measure theory to the Monty Hall Problem An ideal text for courses
in real analysis, topology, algebra, and set theory for
undergraduate and graduate-level courses within mathematics,
computer science, engineering, and physics departments, The
Elements of Cantor Sets is also appropriate as a useful reference
for researchers and secondary mathematics education majors.
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