Geometry : Euclid and beyond
Author(s)
Bibliographic Information
Geometry : Euclid and beyond
（Undergraduate texts in mathematics）
Springer, c2000
Available at / 65 libraries
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Note
Previous ed. published under title: Companion to Euclid : a course of geometry, c1997
Bibliography: p. 495-501
Includes indexes
Description and Table of Contents
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 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.
Table of Contents
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.
by "Nielsen BookData"
