Projective Geometry 2nd Edition

by H.S.M. Coxeter (Author)

2 customer reviews

ISBN-13: 978-0387406237

ISBN-10: 0387406239

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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, respectively. 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.

Projective Geometry

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Product Details

Paperback: 162 pages
Publisher: Springer; 2nd edition (October 9, 2003)
Language: English
ISBN-10: 0387406239
ISBN-13: 978-0387406237
Product Dimensions: 6.1 x 0.4 x 9.2 inches
Shipping Weight: 11.8 ounces (View shipping rates and policies)
Average Customer Review: 4.5 out of 5 stars See all reviews (2 customer reviews)
Amazon Best Sellers Rank: #1,057,064 in Books (See Top 100 in Books)
- #111 in Books > Science & Math > Mathematics > Geometry & Topology > Differential Geometry
- #517 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry

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24 of 27 people found the following review helpful

Good Concise Coverage of Synthetic Projective Geometry

By R. Schultz on February 7, 2007

Format: Paperback

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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Five Stars

By Jerry on May 7, 2015

Format: Paperback Verified Purchase

Very nice product. Shipping was very fast. I love this book.

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