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The Elements of Cantor Sets: With Applications
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The Elements of Cantor Sets: With Applications Hardback - 2013 - 1st Edition

by Robert W. Vallin

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From the publisher

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.

From the rear cover

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.

Details

  • Title The Elements of Cantor Sets: With Applications
  • Author Robert W. Vallin
  • Binding Hardback
  • Edition number 1st
  • Edition 1
  • Pages 256
  • Volumes 1
  • Language ENG
  • Publisher Wiley
  • Publication date 2013-07-30
  • Features Bibliography, Index, Table of Contents
  • ISBN 9781118405710 / 1118405714
  • Weight 1.05 lbs (0.48 kg)
  • Dimensions 9.3 x 6.3 x 0.8 in (23.62 x 16.00 x 2.03 cm)
  • Category Mathematics
  • Library of Congress subjects Mathematical analysis, Measure theory
  • Library of Congress Catalogue Number 2013009452
  • Dewey Decimal Code 515.8

Media reviews

Citations

  • Choice, 03/01/2014, Page 0

About the author

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.

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THE ELEMENTS OF CANTOR SETS - WITH APPLICATIONS
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THE ELEMENTS OF CANTOR SETS - WITH APPLICATIONS

by Vallin, Robert W.

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Hoboken: John Wiley and Sons, Inc, 2013. First Edition, First Printing. Hardcover. Octavo, xi, xiv, xvi, xvii, xx, 225 pages. In Very Good condition. Bound in the publisher's blue cloth bearing black lettering to the spine. Boards shows minimal wear including very sparse instances of soiling. Text block shows extremely light wear to the edges. Previous bookshop's small sticker to each pastedowns. Illustrated. First edition, first printing. NOTE: Shelved in Netdesk Column M, ND-M. 1384764. FP New Rockville Stock.
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The Elements of Cantor Sets: With Applications

The Elements of Cantor Sets: With Applications

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The Elements of Cantor Sets: With Applications

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The Elements of Cantor Sets – With Applications
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The Elements of Cantor Sets: With Applications
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The Elements of Cantor Sets: With Applications

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The Elements of Cantor Sets: With Applications
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The Elements of Cantor Sets: With Applications

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The Elements of Cantor Sets
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The Elements of Cantor Sets

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