Geometry: Euclid and Beyond - Rilegato

Hartshorne, Robin

 
9780387986500: Geometry: Euclid and Beyond

Sinossi

<p>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.</p>

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Contenuti

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.

Product Description

Book by Hartshorne Robin

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9781441931450: Geometry: Euclid and Beyond

Edizione in evidenza

ISBN 10:  1441931457 ISBN 13:  9781441931450
Casa editrice: Springer Nature, 2010
Brossura