A Long Way from Euclid

Nonfiction, Science & Nature, Mathematics, History
Cover of the book A Long Way from Euclid by Constance Reid, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Constance Reid ISBN: 9780486152028
Publisher: Dover Publications Publication: February 20, 2013
Imprint: Dover Publications Language: English
Author: Constance Reid
ISBN: 9780486152028
Publisher: Dover Publications
Publication: February 20, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Young Man, I Think You're Dying by Constance Reid
Cover of the book N-Person Game Theory by Constance Reid
Cover of the book The Simplex Method of Linear Programming by Constance Reid
Cover of the book Piano Music of Robert Schumann, Series I by Constance Reid
Cover of the book Composition by Constance Reid
Cover of the book Henry Hobson Richardson and His Works by Constance Reid
Cover of the book The Genealogy of Morals by Constance Reid
Cover of the book Theories of the World from Antiquity to the Copernican Revolution by Constance Reid
Cover of the book The New York World's Fair, 1939/1940 by Constance Reid
Cover of the book Fundamentals of Musical Acoustics by Constance Reid
Cover of the book A Tale of Two Cities by Constance Reid
Cover of the book Fairy Tales for Young Readers by Constance Reid
Cover of the book The Ice Cream Book by Constance Reid
Cover of the book Spanish Stories by Constance Reid
Cover of the book Psychology of Music by Constance Reid
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy