The Elements of Cantor Sets

With Applications

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Geometry, History
Cover of the book The Elements of Cantor Sets by Robert W. Vallin, Wiley
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Author: Robert W. Vallin ISBN: 9781118407431
Publisher: Wiley Publication: July 29, 2013
Imprint: Wiley Language: English
Author: Robert W. Vallin
ISBN: 9781118407431
Publisher: Wiley
Publication: July 29, 2013
Imprint: Wiley
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

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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