Erschienen: 23.08.2013 Abbildung von Vallin | The Elements of Cantor Sets | 2013 | With Applications


The Elements of Cantor Sets

With Applications

2013. Buch. 248 S. Hardcover

wiley. ISBN 978-1-118-40571-0

Format (B x L): 16,1 x 24,2 cm

Gewicht: 471 g

In englischer Sprache


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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