Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups: 165 (Cambridge Tracts in Mathematics, Series Number 165) - Hardcover
Synopsis
A rapid route for graduate students and researchers to the frontiers of research in this evergreen subject, first published in 2005.
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Review
'... this is an introduction to global projective differential geometry offering felicitous choice of topics, leading from classical projective differential geometry to current fields of research in mathematics and mathematical physics. The reader is guided from simple facts concerning curves and derivatives to more involved problems and methods through a world of inspiring ideas, delivering insights in deep relations. Historical comments as well as stimulating exercises occur frequently throughout the text, making it suitable for teachings.' Zentralblatt MATH
Book Description
Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. This 2005 book provides a rapid route for graduate students and researchers to the frontiers of contemporary research in this evergreen subject. Exercises play a prominent role: historical and cultural comments relate the basic notions to a broader context.
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups (Cambridge Tracts in Mathematics, Series Number 165)
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ISBN 13: 9780521831864
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups (Cambridge Tracts in Mathematics, 165)
Published by
Cambridge University Press., 2005
ISBN 10: 0521831865
ISBN 13: 9780521831864
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Projective Differential Geometry Old and New (Hardcover)
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Cambridge University Press, Cambridge, 2004
ISBN 10: 0521831865
ISBN 13: 9780521831864
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Hardcover. Condition: new. Hardcover. 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. Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. This 2005 book provides a rapid route for graduate students and researchers to the frontiers of contemporary research in this evergreen subject. Exercises play a prominent role: historical and cultural comments relate the basic notions to a broader context. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521831864
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups (Cambridge Tracts in Mathematics, Series Number 165)
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ISBN 10: 0521831865
ISBN 13: 9780521831864
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
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ISBN 10: 0521831865
ISBN 13: 9780521831864
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups: 165 (Cambridge Tracts in Mathematics, Series Number 165)
Published by
Cambridge University Press, 2005
ISBN 10: 0521831865
ISBN 13: 9780521831864
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Condition: New. A rapid route for graduate students and researchers to the frontiers of research in this evergreen subject, first published in 2005. Series: Cambridge Tracts in Mathematics. Num Pages: 262 pages, 53 b/w illus. 35 exercises. BIC Classification: PBM. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 19. Weight in Grams: 497. . 2005. Illustrated. hardcover. . . . . Seller Inventory # V9780521831864
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Projective Differential Geometry Old and New (Hardcover)
Published by
Cambridge University Press, Cambridge, 2004
ISBN 10: 0521831865
ISBN 13: 9780521831864
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Hardcover. Condition: new. Hardcover. 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. Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. This 2005 book provides a rapid route for graduate students and researchers to the frontiers of contemporary research in this evergreen subject. Exercises play a prominent role: historical and cultural comments relate the basic notions to a broader context. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521831864
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Projective Differential Geometry Old and New
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Cambridge University Press CUP, 2004
ISBN 10: 0521831865
ISBN 13: 9780521831864
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Condition: New. pp. 262. Seller Inventory # 26547759