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Projective Geometry and Projective Metrics Summary:By HERBERT BUSEMANN, PAUL J. KELLY
view from traditional presentations of the subject. To a great extent, this departure is due to the changed attitude of contemporary, in partic- ular American, mathematicians toward geometry. Although reluctantly, geometers must admit that the beauty of synthetic geometry has lost its appeal for the new generation. The reasons are clear: not so long ago synthetic geometry was the only field in which the reasoning proceeded strictly from axioms, whereas this appeal - so fundamental to many mathematically interested people - is now made by many other fields. Moreover, much research is taking place in the new fields, but very little in synthetic geometry. There is an additional reason, more peculiar to the United States: individually attractive results, in which projective geometry abounds, are not appreciated, with very few exceptions as in number theory, because there is a tendency to use generality as the only criterion. [...] Please select one mirror to download
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Sponsored LinksProjective Geometry and Projective Metrics Keywordsgeometry synthetic projective fields appeal mathematically interested research fundamental proceeded reasons reasoning additional strictly axioms peculiar theory exceptions tendency generality criterion appreciated abounds traditional presentations changed attitude content methods differs widely projective metrics herbert busemann projective geometryProjective Geometry and Projective Metrics download copyrightThis site does not store Projective Geometry and Projective Metrics on its server. We only index and link to Projective Geometry and Projective Metrics provided by other sites. Please contact the content providers to delete Projective Geometry and Projective Metrics if any and email us, we'll remove relevant links or contents immediately. |
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