Projective geometry : an introduction

Rey Casse

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[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

[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

この本の情報

書名 Projective geometry : an introduction
著作者等 Casse Rey
出版元 Oxford University Press
刊行年月 2006
ページ数 xii, 198 p.
大きさ 24 cm
ISBN 0199298866
0199298858
NCID BA78761439
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言語 英語
出版国 イギリス
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