Projective Geometry
Pierre Samuel(Author)
Springer (Publisher)
Published on 31. December 1988
Book
Paperback/Softback
156 pages
978-3-540-96752-1 (ISBN)
Description
The purpose of this text is to revive some of the results obtained by various geometers of the 19th century, and to give its readers a taste of concrete algebraic geometry. A good deal of space is devoted to cross-ratios, conics, quadrics, and various interesting curves and surfaces. The fundamentals of projective geometry are dealt with by using a modest amount of linear algebra. An axiomatic characterization of projective planes is also given. While the topology of projective spaces over real and complex fields is described, and while the geometry of the complex projective libe is applied to the study of circles and Mobius transformations, the book is not restricted to these fields. Properties of projective spaces, conics, and quadrics over finite fields are also given.
More details
Series
Language
German
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
Illustrations
56 figs. X,156 pages.
Weight
245 gr
ISBN-13
978-3-540-96752-1 (9783540967521)
Schweitzer Classification
Persons
Content
Projective spaces; one-dimensional projective geometry; classification of conics and quadrics; polarity with respect to a quadric.