The Elements of Cantor Sets
With Applications
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A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematicsThe 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 ...
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.
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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