The Elements of Cantor Sets (ePub)

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.