The Real Projective Plane : With an Appendix for Mathematica® by George Beck Macintosh Version /
This introduction to projective geometry can be understood by anyone familiar with high-school geometry and algebra. The restriction to real geometry of two dimensions allows every theorem to be illustrated by a diagram. The subject is, in a sense, even simpler than Euclid, whose constructions invol...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
1993.
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| Edition: | Third edition. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This introduction to projective geometry can be understood by anyone familiar with high-school geometry and algebra. The restriction to real geometry of two dimensions allows every theorem to be illustrated by a diagram. The subject is, in a sense, even simpler than Euclid, whose constructions involved a ruler and compass: here we have constructions using rulers alone. A strict axiomatic treatment is followed only to the point of letting the student see how it is done, but then relaxed to avoid becoming tedious. After two introductory chapters, the concept of continuity is introduced by means of an unusual but intuitively acceptable axiom. Subsequent chapters then treat one- and two-dimensional projectivities, conics, affine geometry, and Euclidean geometry. Chapter 10 continues the discussion of continuity at a more sophisticated level, and the remaining chapters introduce coordinates and their uses. An appendix by George Beck describes Mathematica scripts that can generate illustrations for several chapters; they are provided on a diskette included with the book. (Both PC and Macintosh versions are available) Mathematica is a registered trademark. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xiv, 222 pages) |
| ISBN: | 9781461227342 (electronic bk.) 1461227348 (electronic bk.) |