Foundations of Projective Geometry This text is designed for a one-semester undergraduate course in projective geometry. In incorporates a synthetic approach starting with axioms from which the general theory is deduced, together with
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| Title | : | Foundations of Projective Geometry |
| Author | : | |
| Rating | : | 4.69 (517 Votes) |
| Asin | : | 4871878376 |
| Format Type | : | Paperback |
| Number of Pages | : | 190 Pages |
| Publish Date | : | 2009-12-23 |
| Genre | : |
Editorial : About the Author
Robin Hartshorne is a professor of mathematics, emeritus, at the University of California at Berkeley. His area of research is algebraic geometry, about which he has written a textbook and many research articles. He also has a life-long interest in elementary geometry, starting from his class in mechanical drawing in the fifth grade of elementary school. Recently, based on a course he taught at Berkeley, he wrote a text of Euclidean and non-Euclidean geometry, called Geometry, Euclid and Beyond. Aside from mathematics, he is a musician (flute, piano, shakuhachi), and an avid mountain climber. He also likes languages, speaking fluent English, French, German and Japanese. His wife, Edie, is a therapist, musician, and author. They have two children, Ben, a computer systems engineer, and Joemy, a third grade elementary school teacher.
This text is designed for a one-semester undergraduate course in projective geometry. In incorporates a synthetic approach starting with axioms from which the general theory is deduced, together with an analytic approach using the real projective plane as a model. The first is refined as the second is generalized until the two coincide via the introduction of coordinates in an abstract projective plane. Special attention is paid to the role of Desargues' and Pappus' axioms in the theory. At the end of the book is a list of problems that can be used as exercises while reading. The emphasis on the various groups of transformations that arise in projective geometry introduces the reader to group theory in a practical context. While the book does not assume any previous knowledge of abstract algebra, some familiarity with group theory would be useful. First published in 1967 and long out of print, this book is now reissued with a new preface, an appendix on the simple group of order 168, w
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