Projective Geometry (9780387967523)

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The purpose of this book is to revive some of the beautiful 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 efficiently 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 Moebius transformations, the book is not restricted to these fields. Interesting properties of projective spaces, conics, and quadrics over finite fields are also given. This book is the first volume in the Readings in Mathematics sub-series of the UTM. 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 Mathematiciens#1

Product details

• Format Paperback | 156 pages
• Dimensions 155 x 235 x 11.18mm | 271g
• Publication date 01 Oct 1988
• Publisher Springer-Verlag New York Inc.
• Publication City/Country New York, NY, United States
• Language English
• Edition Statement Softcover reprint of the original 1st ed. 1988
• Illustrations note X, 156 p.
• ISBN10 0387967524
• ISBN13 9780387967523
• Bestsellers rank 2,361,320

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