Projective Geometry
by H.S.M. Coxeter
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Book Summary Information
Author: H.S.M. CoxeterEdition: Paperback
Audio: English (Unknown); English (Original Language); English (Published)
Published: 2003-10-09
ISBN: 0387406239
Number of pages: 174
Publisher: Springer
Accessories:
- Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics)
- Advanced Euclidean Geometry
- Introduction to Classical Geometries
Book Reviews of Projective Geometry
Book Review: Good Concise Coverage of Synthetic Projective Geometry
Summary: 4 Stars
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.
Summary of Projective Geometry
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.Mathematics Books
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