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Understanding Infinity: The Mathematics of Infinite Processes
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Understanding Infinity: The Mathematics of Infinite Processes Paperback - 2010

by A. Gardiner; Mathematics


From the publisher

Conceived by the author as an introduction to "why the calculus works" (otherwise known as "analysis"), this volume represents a critical reexamination of the infinite processes encountered in elementary mathematics. Part I presents a broad description of the coming parts, and Part II offers a detailed examination of the infinite processes arising in the realm of number--rational and irrational numbers and their representation as infinite decimals. Most of the text is devoted to analysis of specific examples. Part III explores the extent to which the familiar geometric notions of length, area, and volume depend on infinite processes. Part IV defines the evolution of the concept of functions by examining the most familiar examples--polynomial, rational, exponential, and trigonometric functions. Exercises form an integral part of the text, and the author has provided numerous opportunities for students to reinforce their newly acquired skills. Unabridged republication of Infinite Processes as published by Springer-Verlag, New York, 1982. Preface. Advice to the Reader. Index.

Details

  • Title Understanding Infinity: The Mathematics of Infinite Processes
  • Author A. Gardiner; Mathematics
  • Binding Paperback
  • Pages 318
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, Mineola, NY
  • Date 2010-12-22
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9780486425382 / 048642538X
  • Weight 0.9 lbs (0.41 kg)
  • Dimensions 9.26 x 6.22 x 0.65 in (23.52 x 15.80 x 1.65 cm)
  • Library of Congress subjects Processes, Infinite
  • Library of Congress Catalog Number 2002071494
  • Dewey Decimal Code 515.243
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Understanding Infinity: The Mathematics of Infinite Processes (Dover Books on Mathematics)
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Understanding Infinity: The Mathematics of Infinite Processes (Dover Books on Mathematics)

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Understanding Infinity: The Mathematics of Infinite Processes

by Gardiner, A.;Gardiner, A. Infinite Processes, Background to Analysis

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