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Real Projective Plane
Bok av G Beck
Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (3.34). This makes the logi cal development self-contained: the footnotes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, not to fill gaps in the argument. H.S.M.C. November 1992 v Preface to the Second Edition Why should one study the real plane? To this question, put by those who advocate the complex plane, or geometry over a general field, I would reply that the real plane is an easy first step. Most of the prop erties are closely analogous, and the real field has the advantage of intuitive accessibility. Moreover, real geometry is exactly what is needed for the projective approach to non* Euclidean geometry. Instead of introducing the affine and Euclidean metrics as in Chapters 8 and 9, we could just as well take the locus of 'points at infinity' to be a conic, or replace the absolute involution by an absolute polarity.
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The Real Projective PlaneEngelska - Pocket
ISBN: 9781461392835
ISBN: 9781461392835
The Real Projective PlaneEngelska - Pocket
ISBN: 9781461276470
ISBN: 9781461276470
The Real Projective PlaneEngelska - Okänt
ISBN: 9783540978893
ISBN: 9783540978893
The Real Projective Plane : With an Appendix for MathematicaEngelska - Okänt
ISBN: 9780387978895
ISBN: 9780387978895
Real Projective PlaneEngelska - E-bok
ISBN: 9781461227342
ISBN: 9781461227342
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The Real Projective Plane
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