Robin Hartshorne

Geometry: Euclid and Beyond (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 528
• Erscheinungstermin: 11. November 2013
• Englisch
• ISBN-13: 9780387226767
• Artikelnr.: 44177979

Autorenporträt

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).

Inhaltsangabe

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.