Geometry : Euclid and beyond

著者

• Hartshorne, Robin

書誌事項

Geometry : Euclid and beyond

Robin Hartshorne

（Undergraduate texts in mathematics）

Springer, c2000

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

詳細情報

• NII書誌ID(NCID): BA47590615
• ISBN:
  • 9780387986500
• LCCN: 99044789
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York ; Tokyo
• ページ数/冊数: xi, 526 p., [2] p. of col. plates
• 大きさ: 25 cm
• 分類:
  • NDC9 : 414
  • LCC : QA451
  • DC21 : 516
• 件名:
  • LCSH : Geometry
• 親書誌ID:
  • BA00018418