Projective Geometry: An introduction

Paperback | August 3, 2006

byRey Casse

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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.

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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 pro...

Louis Reynolds Antoine Casse (Rey Casse) is currently Adjunct Associate Professor in the department of Pure Mathematics, University of Adelaide. He has more than 35 years of experience in lecturing and supervising PhD and Honours students in London and in Adelaide.
Format:PaperbackDimensions:216 pages, 9.21 × 6.14 × 0.47 inPublished:August 3, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199298866

ISBN - 13:9780199298860

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Table of Contents

Foreword1. Assumed knowledge2. Introduction3. Introduction to axiomatic geometry4. Field planes and PG(r,F)5. Coordinatising a projective plane6. Non-Desarguesian planes7. Conics8. Quadrics in PG(3,F)Reference textbooksIndex