Pierre Samuel

(Author)

Projective Geometry (Softcover Reprint of the Original 1st 1988)Paperback - Softcover Reprint of the Original 1st 1988, 12 September 1988

Projective Geometry (Softcover Reprint of the Original 1st 1988)
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Part of Series
Undergraduate Texts in Mathematics
Part of Series
Readings in Mathematics
Print Length
156 pages
Language
English
Publisher
Springer
Date Published
12 Sep 1988
ISBN-10
0387967524
ISBN-13
9780387967523

Description

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 Möbius 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 Mathématiciens#1

Product Details

Author:
Pierre Samuel
Book Edition:
Softcover Reprint of the Original 1st 1988
Book Format:
Paperback
Country of Origin:
US
Date Published:
12 September 1988
Dimensions:
23.57 x 15.7 x 1.12 cm
ISBN-10:
0387967524
ISBN-13:
9780387967523
Language:
English
Location:
New York, NY
Pages:
156
Publisher:
Weight:
249.48 gm

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