Projective Differential Geometry Old and New PDF
By:V. Ovsienko,S. Tabachnikov
Published on 2004-12-13 by Cambridge University Press
Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and 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.
This Book was ranked at 34 by Google Books for keyword mathematics symbol.
Book ID of Projective Differential Geometry Old and New's Books is 59eZEeHVp2oC, Book which was written byV. Ovsienko,S. Tabachnikovhave ETAG "nBT1I+pX4iA"
Book which was published by Cambridge University Press since 2004-12-13 have ISBNs, ISBN 13 Code is 9781139455916 and ISBN 10 Code is 1139455915
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