Foundations of Projective Geometry by Robin Hartshorne

[samsloan]

Foundations of Projective Geometry by Robin Hartshorne

This text is designed for a one-semester undergraduate course in
projective geometry. In incorporates a synthetic approach starting
with axioms from which the general theory is deduced, together with an
analytic approach using the real projective plane as a model. The
first is refined as the second is generalized until the two coincide
via the introduction of coordinates in an abstract projective plane.
Special attention is paid to the role of Desargues’ and Pappus’ axioms
in the theory. At the end of the book is a list of problems that can
be used as exercises while reading.

The emphasis on the various groups of transformations that arise in
projective geometry introduces the reader to group theory in a
practical context. While the book does not assume any previous
knowledge of abstract algebra, some familiarity with group theory
would be useful.

First published in 1967 and long out of print, this book is now
reissued with a new preface, an appendix on the simple group of order
168, which appears as the group of automorphisms of a projective plane
of seven points, and a list of errata.

ISBN 4-87187-837-6
978-4-87187-837-1

http://search.barnesandnoble.com/booksearch/isbninquiry.asp?ISBN=4871878376
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