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A Long Way from Euclid
     

A Long Way from Euclid

3.6 3
by Constance Reid
 

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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

Overview

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.

Product Details

ISBN-13:
9780486152028
Publisher:
Dover Publications
Publication date:
02/20/2013
Series:
Dover Books on Mathematics
Sold by:
Barnes & Noble
Format:
NOOK Book
Pages:
304
File size:
8 MB

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Long Way from Euclid 3.7 out of 5 based on 0 ratings. 3 reviews.
mbratch More than 1 year ago
I really enjoyed this book. Just the right combination of survey level and detail, highlighting key theorems and directions in the primary branches of mathematics since Euclid. This eBook version can be a little tough to read in spots since it was converted using OCR. Some diagrams are scanned images, but many equations are OCR'ed which makes them unintelligible. That's a shame. But, still, it's a great book.
Anonymous More than 1 year ago
As a lover ofmathematics *and* history I can say this is a great book! Thank you.
Anonymous More than 1 year ago