Geometry: Euclid and Beyond

Geometry: Euclid and Beyond

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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, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
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Product details

  • Hardback | 528 pages
  • 178 x 254 x 33.02mm | 1,327g
  • New York, NY, United States
  • English
  • 1st Corrected ed. 2000. Corr. 3rd printing 2005
  • XII, 528 p.
  • 0387986502
  • 9780387986500
  • 68,831

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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About Robin Hartshorne

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).
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16 ratings
4.37 out of 5 stars
5 56% (9)
4 25% (4)
3 19% (3)
2 0% (0)
1 0% (0)
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