Geometry: Euclid and Beyond

Paperback Engels 2010 2000e druk 9781441931450
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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.

Specificaties

ISBN13:9781441931450
Taal:Engels
Bindwijze:paperback
Aantal pagina's:528
Uitgever:Springer New York
Druk:2000

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Inhoudsopgave

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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        Geometry: Euclid and Beyond