Geometry : Euclid and beyond
著者
書誌事項
Geometry : Euclid and beyond
（Undergraduate texts in mathematics）
Springer, c2000
大学図書館所蔵 全65件
注記
Previous ed. published under title: Companion to Euclid : a course of geometry, c1997
Bibliography: p. 495-501
Includes indexes
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より