Projective Differential Geometry Old and New ebook Ovsienko, V., Tabachnikov, S. Diesel eBooks

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Home > Education > Mathematics > Projective Differential Geometry Old and New-eBook

Projective Differential Geometry Old and New

Ovsienko, V., Tabachnikov, S.

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Projective Differential Geometry Old and New

Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give new results and new proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features strongly. Related topics include differential operators, the cohomology of the group of diffeomorphisms of the circle, and the classical four-vertex theorem. The classical theory of projective hypersurfaces is surveyed and related to some very recent results and conjectures. A final chapter considers various versions of multi-dimensional Schwarzian derivative. In sum, here is a rapid route for graduate students and researchers to the frontiers of current research in this evergreen subject.

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Title of ebook: Projective Differential Geometry Old and New
ISBN: 9780511261886
Publisher: Cambridge University Press
Internet download file size: 1251 kb
Pages: 262
Released online for download: 12-13-2004
Author of eBook: Ovsienko, V.
Author of eBook: Tabachnikov, S.