A. Adrian Albert and Reuben Sandler, An Introduction to Finite Projective Planes (1968).
Frank Ayres, Jr., Projective Geometry, Schaum's Outline Series, McGraw-Hill, 1967.
A first course on synthetic and analytic projective geometry for undergraduates. Many worked examples. Coverage through pencils of conics. Explains clearly the connections with affine and Euclidean geometry. A free copy of this book will be given out in class.
Reinhold Baer, Linear Algebra and Projective Geometry (1952, reissued 1965).
C.H. Clemens, A Scrapbook of Complex Curve Theory, Plenum Press, 1980
Beginning with a quick review of projective geometry, an intuitive and highly readable account is given of curves over the complex numbers leading quickly to many of the important ideas of manifolds, integrals, and algebraic geometry. Though not an undergraduate text, it is very inspiring.
J.L. Coolidge, A Treatise on the Circle and the Sphere, OUP, 1916.
J.L. Coolidge, The Geometry of the Complex Domain, OUP, 1924.
An early systematic attempt to compare real and complex geometry. There is much emphasis on how to represent complex geometric objects in real spaces.
J.L. Coolidge, A Treatise on Algebraic Plane Curves, OUP, 1931 (Dover reprint, 1959).
A detailed review in English covering the accomplishments of the German and Italian schools of algebraic geometry. Not for beginners.
J.L. Coolidge, A History of Geometrical Methods, OUP, 1940 (Dover reprint, 1963).
A sweeping survey from ancient times through the first third of the century. No one has time to write books like this anymore.
J.L. Coolidge, A History of the Conic Sections and Quadric Surfaces, OUP, 1945.
H.S.M. Coxeter, The Real Projective Plane, McGraw-Hill, 1949. 3rd ed., Springer-Verlag, 1993.
A standard, meticulous, but very readable and well known general reference at the text-book level on synthetic (axiomatic) projective geometry in two dimensions.
H.S.M. Coxeter, Introduction to Geometry, Wiley, 1961.
An exceptionally inspiring survey of many topics in geometry.
H.S.M. Coxeter, Projective Geometry, University of Toronto Press, 1974 (Second edition)
An elementary undergraduate presentation that provides a survey of all the basic topics.
Luigi Cremona, Elements of Projective Geometry, 3rd ed. (1913, reprinted 1960).
Stands as a classic in the field.
J. Dieudonne, History of Algebraic Geometry, Wadsworth,, 1985.
An up-dated translation of the 1974 classic. History is divided into seven epochs, with the periods surveyed by Coolidge covered in less than 60 pages. The last 50 pages put recent research results (since 1960) and open problems in a striking perspective.
Lynn E. Garner, An Outline of Projective Geometry,1981.
Employs an abstract approach.
Robin Hartshorne, Foundations of Projective Geometry, Benjamin, 1967.
Brief, elegant treatment from both algebraic and axiomatic points of view.
A. Heyting, Axiomatic Projective Geometry, 2nd ed. (1980).
J.Dennis Lawrence, A Catalog of Special Plane Curves, Dover, 1972.
An illustrated study of plane algebraic and transcendental curves, emphasizing analytic equations and parameter studies. A mine of examples.
G.B. Mathews, Projective Geometry (1914).
An easy and comparatively unsophisticated account for beginners.
E.A. Maxwell, The Methods of Plane Projective Geometry based on the Use
of General Homogeneous Coordinates, Cambridge University Press, 1952
(original edition 1946).
Old fashioned in exposition in the style of Baker and Todd and the Cambridge Tripos, but the book is well organized and a very good source of problems.
E.A. Maxwell, General Homogeneous Coordinates in Space of Three Dimensions, Cambridge University Press, 1951.
Sequel to the book on plane geometry; it has the same virtues.
C.W. O'Hara and D.R. Ward, An Introduction to Projective Geometry (1937, reprinted 1949).
Dan Pedoe, Geometry: A Comprehensive Course, Dover Publications, 1988.
Plane and higher-dimensional projective geometry are ably related to Euclidean and non-Euclidean geometry.
E.J.F. Primrose, Plane Algebraic Curves, Macmillian/St.Martin's Press, 1955.
Intended for (British) undergraduates and to be easier than the books on curves by Coolidge and Walker, it takes up where Maxwell leaves off. It does a lot in just over 100 pages.
P.J. Ryan, Euclidean and Non-Euclidean Geometry: An Analytic Approach, Cambridge University Press, 1986.
A rigorous treatment of fundamentals of real plane geometry: Euclidean, spherical elliptic, and hyperbolic, with the relations to projective geometry explained. Written at the advanced undergraduate level, the book details thorough connections with group theory and vector-space theory.
G. Salmon, A Treatise on Conic Sections, London, 1879. (Reprinted, Chelsea,1954)
G. Salmon, A Treatise on the Higher Plane Curves, Dublin, 1879. (Reprinted, Stechert, 1934)
P. Samuel, Projective Geometry, Springer-Verlag, 1988.
Well translated from the French edition of 1986, it breathes new life into the subject by giving an elementary, yet serious and interesting exposition by a first-rate mathematician; also introduces basic ideas of algebraic geometry.
Beniamino Segre, Lectures on Modern Geometry (1961).
Combines and contrasts the axiomatic and algebraic approaches to projective geometry, with a substantial algebraic introduction and a good deal of attention to finite, non-Pappian, and non-Desarguesian geometries.
A. Seidenberg, Lectures in Projective Geometry, Van Nostrand, 1963.
An easy-to-follow axiomatic treatment.
A. Seidenberg, Elements of the Theory of Algebraic Curves, Addison-Wesley, 1968.
Developed from a beginning graduate course and aimed here at advanced undergraduates; requires only a modest amount of algebraic knowledge; favors a concrete approach, devoting quite a bit of time to plane curves.
J.G. Semple & G.T. Kneebone, Introduction to Algebraic Curves, OUP, 1949.
J.G. Semple & L. Roth, Introduction to Algebraic Geometry, OUP, 1949.
A hefty, introductory graduate-level text in the Baker tradition.
Dirk J. Struik, Lectures on Analytic and Projective Geometry, 1953.
J.A.Todd, Projective and Analytical Geometry, Pitman & Sons, 1947.
Another well organized text in the British style from the Cambridge school of Baker and Hodge. It has numerous problems and examples. The approach connects more to invariant theory than does the book of Maxwell.
O.Veblen and J.W.Young, Projective Geometry, Vol. I., 1910, Vol. II., 1917, Reprinted by Blaisdel Publishing Company, 1946.
One of the classics. In the first volume, geometry of one, two, and three dimensions is treated axiomatically and on the basis of coordinates. The second volume treats foundations in more depth, particularly as regards properties of order and topology. Euclidean and non-Euclidean geometries are also studied.
R.J. Walker, Algebraic Curves, Princeton University Press, 1950.
Written as an introduction to algebraic geometry of the van der Waerden-Zariski school, it is very readable and helpful.
A.N. Whitehead, The Axioms of Projective Geometry (1906, reissued 1971).