Geometry Euclid and Beyond

ISBN-10: 0387986502
ISBN-13: 9780387986500
Edition: 2000
Authors: Robin Hartshorne
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Description: 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...

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Book details

Copyright year: 2000
Publisher: Springer
Publication date: 9/28/2005
Binding: Hardcover
Pages: 528
Size: 7.00" wide x 9.50" long x 1.00" tall
Weight: 2.640
Language: English

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, 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- to senior-level mathematics majors. Robin Hartshorne is a professor of mathematics at the University of California at Berkeley, and is the author of Foundations of Projective Geometry (Benjamin, 1967) and Algebraic Geometry (Springer, 1977).

Euclid's Geometry
Hilbert's Axioms
Geometry over Fields
Segment Arithmetic
Area
Construction Problems and Field Extensions
Non-Euclidean Geometry
Polyhedra

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