{"product_id":"the-real-projective-plane-g-beck-9781461276470","title":"The Real Projective Plane","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e G. Beck, H. S. M. Coxeter\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1461276470\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781461276470\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/02\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 227\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.76lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.51d","brand":"G. Beck","offers":[{"title":"Paperback","offer_id":43936024035583,"sku":"9781461276470","price":79.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_113b887c-2e6c-49bd-8ec5-f4b7adc433c7.jpg?v=1681423169","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-real-projective-plane-g-beck-9781461276470","provider":"WR Book House","version":"1.0","type":"link"}