Projective Geometry (This book is the first volume in the Readings in Mathematics sub-series of the UTM.) - Softcover

Samuel, Pierre

9783540967521: Projective Geometry (This book is the first volume in the Readings in Mathematics sub-series of the UTM.)

Softcover

ISBN 10: 3540967524 ISBN 13: 9783540967521

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1988

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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.

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Review

From the reviews: "...The book of P. Samuel thus fills a gap in the literature. It is a little jewel. Starting from a minimal background in algebra, he succeeds in 160 pages in giving a coherent exposition of all of projective geometry. ... one reads this book like a novel. " D.Lazard in Gazette des Math�maticiens#1

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