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Item Details
| Title:
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THE REAL PROJECTIVE PLANE
WITH AN APPENDIX FOR MATHEMATICA |
| By: |
H. S. M. Coxeter, G. Beck |
| Format: |
Mixed media product |
| List price:
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£59.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0387978895 |
| ISBN 13: |
9780387978895 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
23 December, 1992 |
| Edition: |
3rd ed. 1993 |
| Pages: |
227 |
| Description: |
With an appendix for Mathematica. PC Version |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Non-returnable |
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