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The Tortoise and Achilles

using Geometry Expressions to investigate the infinite

Larry Ottman

$69.95   $63.15

Paperback

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English
Saltire Software, Incorporated
03 February 2011
Calculus is the study of the infinite and since much of secondary mathematics is designed to prepare one for the study of calculus, wrestling with the ideas of the infinite, even if informally, is extremely important for a student's mathematical development. That is the purpose of this book. Among the first to discuss these ideas was the Greek philosopher / mathematician Zeno, and not long after him, Archimedes came the closest to discovering Calculus without the tools of modern mathematics. Though none of Zeno's actual writings survive, Aristotle recorded accounts of Zeno's thoughts on the infinite, time and space in what have come to be known as Zeno's Paradoxes. One of those specifically involves the idea of a race in which a slower runner is given a head start and investigates the possibilities of the faster runner catching up . This has come to be known as Achilles and the Tortoise . These characters are our hosts as we use Geometry Expressions to investigate Archimedes methods, ideas of the infinite, and Zeno's Paradoxes in an introduction to Calculus, without using Calculus.

By:  
Imprint:   Saltire Software, Incorporated
Country of Publication:   United States
Dimensions:   Height: 254mm,  Width: 203mm,  Spine: 7mm
Weight:   277g
ISBN:   9781882564248
ISBN 10:   1882564243
Pages:   132
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

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