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
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Readings in Mathematics |
| Release date: |
September 1988 |
| First published: |
1988 |
| Authors: |
Pierre Samuel
|
| Translators: |
Silvio Levy
|
| Dimensions: |
235 x 155 x 15mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
156 |
| Edition: |
Softcover reprint of the original 1st ed. 1988 |
| ISBN-13: |
978-0-387-96752-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
Promotions
|
| LSN: |
0-387-96752-4 |
| Barcode: |
9780387967523 |
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