E-book: Projective Geometry: An introduction

3.50/5 (4 ratings by Goodreads)

Rey Casse (University of Adelaide)

Format: PDF+DRM
Pub. Date: 03-Aug-2006
Publisher: Oxford University Press
Language: eng
ISBN-13: 9780191538360

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Geometry

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Format: PDF+DRM
Pub. Date: 03-Aug-2006
Publisher: Oxford University Press
Language: eng
ISBN-13: 9780191538360

Other books in subject:

Geometry

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This lucid, 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 examples and exercises, this text is ideal for year 3 and 4 mathematics undergraduates.

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.

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

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.

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