Geometry and Topology
Geometry
Euclid and Beyond
Author:
Hartshorne, Robin
Isbn 13:
9780387986500
ISBN: 0387986502
Pub Date:
Jun 1, 2000
Publisher:
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Shipping Weight: 2.40 pounds
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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. Also included are complete proofs, 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-senior level mathematics majors. 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). This book offers a unique opportunitiy to understand the essesnce of one of the great thinkers of western civilization. A guided reading of Eulid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs, introduction of coordinates, the theory of area, geometrical condtructions and finite field extensions, history of the parallel postulate, the various non-Eclidean geometries, and the regular and semi-regular polyhedra. The text is intended for junior-senior level college mathematics majors. 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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