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.
- M.K. Bennett, Affine and Projective Geometry. Wiley and
Sons, New York. 1995.
- An undergraduate text. Includes a chapter on the Lattice of Flats
- A. Beutelspacher and U. Rosenbaum, Projective Geometry: from
foundations to applications. Cambridge University Press, Cambridge.
- A text that I like and have used in this course in the past.
- 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.
- R. Casse, Projective Geometry: an introduction. Oxford
University Press, New York. 2006.
- 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).
- 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.
- A nice introduction to classical projective geometry.
- 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.
- 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.
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Last updated August 1, 2008