Overview

"This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's ""Elements"" leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants. Also included are complete proofs, introduction of coordinates, the theory of area, geometrical constructions and finite field extensions, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra. The text is intended for junior-senior level mathematics majors. Robin Hartshorne is a professor of mathematics at the University of California, Berkeley, and is the author of ""Foundations of Projective Geometry"" (Benjamin, 1967) and ""Algebraic Geometry"" (Springer, 1977)."

Full Product Details

Author:   Robin Hartshorne
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1st Corrected ed. 2000. Corr. 3rd printing 2005
Dimensions:   Width: 17.80cm , Height: 3.10cm , Length: 25.40cm
Weight:   1.332kg
ISBN:  

9780387986500

ISBN 10:   0387986502
Pages:   528
Publication Date:   08 June 2000
Audience:   College/higher education ,  General/trade ,  Professional and scholarly ,  Undergraduate ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Euclid’s Geometry.- 2. Hilbert’s Axioms.- 3. Geometry over Fields.- 4. Segment Arithmetic.- 5. Area.- 6. Construction Problems and Field Extensions.- 7. Non-Euclidean Geometry.- 8. Polyhedra.- Appendix: Brief Euclid.- Notes.- References.- List of Axioms.- Index of Euclid’s Propositions.

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