Projective geometry : an introduction

著者

• Casse, Rey

書誌事項

Projective geometry : an introduction

Rey Casse

Oxford University Press, 2006

• : hbk
• : pbk

注記

Includes bibliographical references (p. [193]) and index

内容説明・目次

巻冊次

: hbk ISBN 9780199298853

内容説明

This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinating a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates

目次

• Foreword
• 1. Assumed knowledge
• 2. Introduction
• 3. Introduction to axiomatic geometry
• 4. Field planes and PG(r,F)
• 5. Coordinatising a projective plane
• 6. Non-Desarguesian planes
• 7. Conics
• 8. Quadrics in PG(3,F)
• Reference textbooks
• Index

巻冊次

: pbk ISBN 9780199298860

内容説明

This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinatising a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.

目次

• Foreword
• 1. Assumed knowledge
• 2. Introduction
• 3. Introduction to axiomatic geometry
• 4. Field planes and PG(r,F)
• 5. Coordinatising a projective plane
• 6. Non-Desarguesian planes
• 7. Conics
• 8. Quadrics in PG(3,F)
• Reference textbooks
• Index

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA78761439
• ISBN:
  • 0199298858
  • 0199298866
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford
• ページ数/冊数: xii, 198 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA471
  • DC22 : 516.5
  • NDLC : MA94
• 件名:
  • LCSH : Geometry, Projective