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A Long Way from Euclid
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A Long Way from Euclid Paperback - 2004

by Constance Reid


From the publisher

Mathematics has come a long way indeed in the last 2,000 years, and this guide to modern mathematics traces the fascinating path from Euclid's Elements to contemporary concepts. No background beyond elementary algebra and plane geometry is necessary to understand and appreciate author Constance Reid's simple, direct explanations of the arithmetic of the infinite, the paradoxes of point sets, the "knotty" problems of topology, and "truth tables" of symbolic logic. Reid illustrates the ways in which the quandaries that arose from unsolvable problems promoted new ideas. Numerical concepts expanded to accommodate such concepts as zero, irrational numbers, negative numbers, imaginary numbers, and infinite numbers.
Geometry advanced into the widening territories of projective geometry, non-Euclidean geometries, the geometry of n-dimensions, and topology or "rubber sheet" geometry. More than 80 drawings, integrated with the text, assist in cultivating a grasp of the abstract foundations of modern mathematics, the search for truly consistent assumptions, the recognition that absolute consistency is unattainable, and the realization that some problems can never be solved.

Details

  • Title A Long Way from Euclid
  • Author Constance Reid
  • Binding Paperback
  • Pages 292
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, Mineola, New York, U.S.A.
  • Date April 19, 2004
  • Illustrated Yes
  • ISBN 9780486436135 / 0486436136
  • Weight 0.72 lbs (0.33 kg)
  • Dimensions 8.48 x 5.44 x 0.64 in (21.54 x 13.82 x 1.63 cm)
  • Library of Congress subjects Mathematics - History, Geometry - History
  • Library of Congress Catalog Number 2003070115
  • Dewey Decimal Code 510.9
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A Long Way from Euclid (Dover Books on Mathematics)
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A Long Way from Euclid (Dover Books on Mathematics)

by Constance Reid

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A Long Way from Euclid
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A Long Way from Euclid

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A Long Way from Euclid

A Long Way from Euclid

by Constance Reid

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ISBN 13
9780486436135
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A Long Way from Euclid

A Long Way from Euclid

by Constance Reid

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ISBN 13
9780486436135
ISBN 10
0486436136
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A Long Way From Euclid
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A Long Way From Euclid

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A Long Way from Euclid
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A Long Way from Euclid

by Constance Reid

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