Projective Geometry Bibliography

In this section I will list, with some annotation, other sources for information on Projective Geometry.

Books that I do not have in my personal library are marked with an asterisk (*).


A.A. Albert and R. Sandler, An Introduction to Finite Projective Planes. Holt, Rinehart and Winston, New York, 1968.
This marvelous little book is a great introduction to coordinatization, planar ternary rings and collineation groups.
E. Artin, Geometric Algebra. Wiley and Sons, New York. 1957.
One of the original sources for the theory of coordinatization.
F. Ayers, Theory and Problems of Projective Geometry. Schaum's Outline Series, McGraw-Hill, New York, 1967.
No classical subject can exist without a Schaum's Outline.
*R. Baer, Linear Algebra and Projective Geometry. Academic Press, New York, 1952.
One of the original sources for the theory of Automorphism Groups.
L.M. Blumenthal, A Modern View of Geometry. Dover, New York, 1980.
Starts with a clear exposition of logic, axiomatics, consistency and independence with examples from geometry. Ternary rings and the basic postulational systems in Euclidean and non-Euclidean geometry.
R.J. Bumcrot, Modern Projective Geometry. Holt, Rinehart and Winston, New York, 1969.
H.M.S. Coxeter, Projective Geometry. Springer-Verlag, Heidelberg, 1987.
Synthetic projective geometry, with several chapters on polarity and conics.
H.M.S. Coxeter, The Real Projective Plane, ( With an Appendix for Mathematica by George Beck). Springer-Verlag,Heidelberg, 1993.
Characterizes the real projective plane with a complete set of axioms.
P. Dembowski, Finite Geometries. Springer-Verlag, Berlin, 1968.
The single most important reference in the area of finite geometries. However, this is not a text, rather a compilation of research results with most of the proofs only sketched, but lots of references.
T.E. Faulkner, Projective Geometry. Interscience, New York, 1949.
L.E. Garner, An Outline of Projective Geometry. North-Holland, New York, 1981.
A very nicely written book at the senior/graduate level.
K.W. Gruenberg and A.J. Weir, Linear Geometry. GTM, Springer-Verlag, New York, 1977.
The vector space approach to projective geometry.
M. Hall Jr., The Theory of Groups. Chelsea, New York, 1972.
The last chapter of this book is entirely devoted to the subject of general projective planes and how they relate to groups and several classes of ring-like structures.
R. Hartshorne, Foundations of Projective Geometry. Benjamin Press, 1967.
Book on which our text is based.
D. Hilbert, Foundations of Geometry. Open Court, La Salle, 1971.
The original monograph on the role of Desargues' theorem and Pappus' theorem (or Pascal's theorem as Hilbert would have it) in coordinatizing affine space.
J.W.P. Hirschfeld, Projective Geometries over Finite Fields. Clarendon Press, Oxford, 1979.
Excellent monograph, but the notation is hard to take.
J.W.P. Hirschfeld, Finite Projective Spaces of Three Dimensions. Clarendon Press, Oxford, 1985.
Continuation of the above text, with emphasis on dimension 3 material.
D. Hughes and F. Piper, Projective Planes. Springer-Verlag, New York, 1973.
Now a classic in the area. Easy to read and very complete.
F. Kárteszi, Introduction to Finite Geometries. North-Holland, Amsterdam, 1976.
An interesting book, lots of unusual material, very idyosyncratic.
B.E. Meserve, Fundamental Concepts of Geometry. Dover, New York, 1983.
H. Pickert, Projektive Ebenen. Springer-Verlag, Berlin, 1975.
If you read German this is a classic.
E.G. Rees, Notes on Geometry. Universitext, Springer-Verlag,Heidelberg, 1983.
Treats Euclidean, projective and hyperbolic geometry at a high level using linear algebra, group theory, metric spaces and complex analysis.
T.G. Room and P.B. Kirkpatrick, Miniquaternion Geometry. Cambridge Univ. Press, 1971.
Deals with the four projective planes of order 9. A great introduction to nondesarguesian planes. Notation is terrible.
P. Samuel, Projective Geometry. UTM, Springer-Verlag,Heidelberg, 1988.
A general n-dimensional treatment of projective geometry including conics, quadrics, polarities and their classification.
H. Schwerdtfeger, Geometry of Complex Numbers. Dover, New York, 1979.
The geometry of conics and cross ratios over the complex numbers.
*A. Seidenberg, Lectures in Projective Geometry. van Nostrand, Princeton, 1962.
Well-written book with chapters on conics, axioms for n-space, as well as projective geometry as an extension of a basic course in Euclidean geometry.
F. Stevenson, Projective Planes. Freeman, San Francisco, 1972.
Mainly interested in nondesarguesian planes. Thorough treatment.
T. Tsuzuku, Finite Groups and Finite Geometries. Cambridge Univ. Press, 1982.
Mostly groups but with some solid work about how groups and finite geometries are related.
C.R. Wylie, Jr., Introduction to Projective Geometry. McGraw-Hill, New York, 1970.
Chapters on involutory hexads, the Cayley-Laguerre metrics and subgeometries of the real projective plane. Incidence table for a finite nondesarguesian geometry.
P. Yale, Geometry and Symmetry. Dover, New York, 1988.
The similarities of n-dimensional projective geometry and the planar case is clearly seen in this book. Geometry from the transformation group viewpoint.
J.W. Young, Projective Geometry. MAA Carus Monograph, Open Court, La Salle, 1930.
A pleasant read, but a little dated.
*O. Veblen and J.W. Young, Projective Geometry. Vol I, Ginn, Boston, 1938; Vol II, Blaisdell, New York, 1946.
These books are considered the start of modern projective geometry.
<hr><center> <em>Back to <a href="m4220.html"> index</a></em></center>
Last updated Jan. 20, 2003