
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.
This text investigates the fundamental properties and invariants of geometric figures under projection, serving as a comprehensive introduction to the field of projective geometry. Rey Casse, an experienced mathematician, utilizes a structured pedagogical approach to bridge the gap between elementary coordinate geometry and advanced algebraic structures. The book establishes a rigorous framework for understanding projective spaces, relying on the reader's prior knowledge of linear algebra and group theory to explore complex geometric configurations.
What You Will Find
Scope Limits
Experts and educators identify this work as a standard, accessible resource for upper-level mathematics undergraduates. Readers frequently note the clarity of the prose and the effectiveness of the included exercises in reinforcing complex geometric concepts.
Page Count:
216
Publication Date:
2006-01-01
Publisher:
Oxford University Press
ISBN-10:
0191538361
ISBN-13:
9780191538360
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