Projective geometry

Projective geometry by G. B. Mathews Download PDF EPUB FB2

Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations/5(4).

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 by: The book examines some very unexpected topics like the use of tensor calculus in projective geometry, building on research by computer scientist Jim Blinn.

It would be difficult to read that book from cover to cover but the book is fascinating and has splendid illustrations in color. It is wholly different than any other textbook I’ve seen on projective geometry."—Jessica Sidman, Mount Holyoke College "From Menelaus and elations to window taping and writing mathematics, this book provides a delightful mesh of classical geometry, perspective in art, beautiful graphics, and an exploratorium of exercises.

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.

Author: M. Bennett; Publisher: John Wiley & Sons ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» An important new perspective on AFFINE AND PROJECTIVEGEOMETRY This innovative book treats math majors and math education studentsto a fresh look at affine and projective geometry from algebraic,synthetic, and lattice theoretic points of view.

projective properties of gures and the invariance by projection. This is the rst treaty on projective geometry: a projective property is a prop-erty invariant by projection. Chasles et M obius study the most general Grenoble Universities 3File Size: KB. A nice interesting book which has a couple of chapters at the start on Projective Geometry, and really the applications of it in Algebraic Geometry is Miles Reid's Undergraduate Algebraic Geometry.

It has a section on plane curves and proves things in a rigorous way, before going onto. Hey, here are some books for projective geometry which can help you 1) Lectures on Curves, Surfaces and Projective Varieties by Beltrametti, Carletti, Gallarati, Bragadin.

This is a fat textbook written by four Italian geometers in a very classica.