Understanding Infinity: The Mathematics of Infinite Processes

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

ISBN 10: 048642538X / ISBN 13: 9780486425382

Published by Dover Pubns, Mineola, New York, U.S.A., 2003

About this Item

This is a new book with a light crease to small portion of upper, outside corner. Provides: a detailed examination of the infinite processes; explores the extent to which familiar geometric notions depend on infinite processes; defines the evolution of the concept of functions. With exercises and analysis.

Seller Inventory # 4460-9

Bibliographic Details

• Title: Understanding Infinity: The Mathematics of Infinite Processes
• Publisher: Dover Pubns, Mineola, New York, U.S.A.
• Publication Date: 2003
• Language: English
• ISBN 10: 048642538X
• ISBN 13: 9780486425382
• Binding: Soft cover
• Condition: Very Good
• Seller catalogs:
  • Mathematics

About this title

Synopsis

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.