Projective Geometry |
 enlarge | Author: H.s.m. Coxeter
Publisher: Springer
Category: Book
List Price: $39.95
Buy New: $21.00
You Save: $18.95 (47%)
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Rating:  1 reviews
Sales Rank: 490769
Media: Paperback
Edition: 2nd
Pages: 162
Number Of Items: 1
Shipping Weight (lbs): 0.6
Dimensions (in): 9.2 x 6.1 x 0.5
ISBN: 0387406239
Dewey Decimal Number: 516
EAN: 9780387406237
Publication Date: October 9, 2003
Availability: Usually ships in 1-2 business days
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Product Description
In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, repectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.
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Customer Reviews:
Good Concise Coverage of Synthetic Projective Geometry February 7, 2007
R. Schultz
6 out of 8 found this review helpful
Coxeter provides good coverage of the fundamental concepts of synthetic projective geometry. This is a good introductory book. The examples provided are clear. Coxeter's style is concise. Topics such as Desargues theorem , Pappus's theorem and conics are covered. The solutions to some exercises can be found in the back of the book. The book addresses finite geometries and analytic projective with a chapter on each.
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