Precalculus-level Projective Geometry Reference

Question

I'm teaching a course right now at the pre-calculus level (an "ideas in math" class) and would like to know if anyone knows of

1) A nice source of problems and/or 2) An accessible set of notes that the students can read.

I don't need a lot of material; we're not going much beyond the definitions (adding "points at infinity" to the plane, and a short discussion of projective coordinates). I'll write my own materials if I can't find anything I really like, but I'd rather not re-invent the wheel, and a quick Google search hasn't turned up anything useful.

Answer 1

I think the text:

Viewpoints: Mathematical Perspective and Fractal Geometry in Art

by Marc Frantz, Annalisa Crannell

ISBN-13: 978-0691125923 ISBN-10: 0691125929

might be something you're looking for.

I have worked some of the problems and read some of the text and it seems to be a hands on introduction to some of the basic concepts in projective geometry.

Get back to me if you look at it and think it works for you.

Answer 2

checked my mostly unread Dover math used book collection

Introduction to Projective Geometry, Wylie

Linear Geometry, Artzy

Projective Geometries and Projective Metrics, Busemann and Kelly

A Modern View of Geometry, Blumenthal

all have at least a chapter on Projective Geometry

Geometric Algebra is useful in Projective/Homogeneous modeling

Geometric Algebra for Computer Science, Dorst, Fontain, Mann has a chapter or two that are relevant, although the doulbly homogeneous 5-D model of 3-D Euclidean space is the main thrust

Answer 3

Projective Geometry by Coxeter (2nd edition, Springer-verlag) could be helpful for you and your students.

This small book contains a lot of exercices and their solutions (since there are solutions, it might be more suitable for you, in order to prepare your notes and your problems, than for your students).