Why projective geometry

Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle. We cannot process tax exempt orders online. If you wish to place a tax exempt order please contact us. Add to cart. Sales tax will be calculated at check-out. Free Global Shipping. Description Projective Geometry and Algebraic Structures focuses on the relationship of geometry and algebra, including affine and projective planes, isomorphism, and system of real numbers.

The book first elaborates on euclidean, projective, and affine planes, including axioms for a projective plane, algebraic incidence bases, and self-dual axioms. The text then ponders on affine and projective planes, theorems of Desargues and Pappus, and coordination. If and are distinct points on a plane , there is not more than one line containing both and. Any two lines in a plane have at least one point of the plane which may be the point at infinity in common.

Every line contains at least three points of the plane. All the points of the plane do not belong to the same line. Birkhoff, G. New York: Macmillan, pp.

Casey, J. Chasles, M. Paris, Coxeter, H. Projective Geometry, 2nd ed. New York: Springer-Verlag, Cremona, L. Elements of Projective Geometry, 3rd ed. New York: Dover, Kadison, L.

Projective Geometry and Modern Algebra. Kasner, E. Mathematics and the Imagination. Redmond, WA: Microsoft Press, pp. Lachlan, R. London: Macmillian, pp. Ogilvy, C. New York: Dover, pp. Pappas, T. Pedoe, D. An Introduction to Projective Geometry.

New York: Pergamon, Poncelet, J. Semple, J. Algebraic Projective Geometry. Oxford, England: Oxford University Press, Seidenberg, A. Lectures in Projective Geometry. Princeton, NJ: Van Nostrand, Staudt, K. Geometrie der Lage.

Steiner, J. Berlin,