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The Elements of Cantor Sets – With Applications

RW Vallin (Autor)

Software / Digital Media
256 Seiten
2013
John Wiley & Sons Inc (Hersteller)
978-1-118-54874-5 (ISBN)
90,08 inkl. MwSt
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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.

ROBERT W. VALLIN, PhD, is Professor of Mathematics at Slippery Rock University. The recipient of numerous grants and awards, Dr. Vallin is also the author of over forty journal articles and has given many undergraduate and research talks on a variety of topics.

Erscheint lt. Verlag 5.8.2013
Verlagsort New York
Sprache englisch
Maße 203 x 231 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Geschichte der Mathematik
ISBN-10 1-118-54874-4 / 1118548744
ISBN-13 978-1-118-54874-5 / 9781118548745
Zustand Neuware
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