Foundations of Projective Geometry
| Author | : | |
| Rating | : | 4.94 (614 Votes) |
| Asin | : | 0805337571 |
| Format Type | : | paperback |
| Number of Pages | : | 167 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
By Robin Hartshorne. The first method becomes more specialized while the second is gradually generalized until the two coincide.. This text/supplement is designed for a one-semester course in projective geometry on the senior or early graduate level. The book incorporates a synthetic approach starting with axioms from which the abstract theory is induced, and an approach which takes the real projective plane as a model and uses Euclidean and analytic geometry to make deductions
Good for math majors; perhaps annoying to graphics experts As the preface says, this book approaches the subject from two different directions: analytic and synthetic. The synthetic approach seems to contain both (1) the parts of the subject best suited to students who know only high-school math, and (2) the parts ill-suited to those who are not "pure" mathematicians. An example of the former is a high-school-geometry-style proof that any three points on any line may be. "axiom-theorem-example very good introduction in the area" according to A Customer. This is one of those both popular and scientific books. It deals rigorously and reader-friendly with projective (and, subsequently, affine) planes. Desargues and Pappus axioms/theorems interactions are described; projective collineations are studied. Best for freshmen and their advisors, as well.