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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups - Couverture rigide
Synopsis
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.
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Présentation de l'éditeur
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.
Revue de presse
'... 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
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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)
Edité par
Cambridge University Press, 2004
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
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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)
Edité par
Cambridge University Press, 2004
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
Edité par
Cambridge University Press, 2005
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Ancien ou d'occasion
Couverture rigide
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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)
Edité par
Cambridge University Press, 2004
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
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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)
Edité par
Cambridge University Press, 2004
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups (Hardcover)
Edité par
Cambridge University Press, Cambridge, 2005
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
Vendeur : Grand Eagle Retail, Mason, OH, Etats-Unis
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Hardcover. Etat : 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 book provides a rapid route for graduate students and researchers to contemplate the frontiers of contemporary research in this classic subject. The authors include exercises and historical and cultural comments relating the basic ideas to a broader context. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521831864
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
Edité par
Cambridge University Press, 2004
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 590. N° de réf. du vendeur C9780521831864
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
Edité par
Cambridge Univ Pr, 2005
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Hardcover. Etat : Brand New. 262 pages. 9.25x6.00x1.00 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521831865
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Projective Differential Geometry Old and New
Edité par
Cambridge University Press CUP, 2004
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 262. N° de réf. du vendeur 26547759
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Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups (Hardcover)
Edité par
Cambridge University Press, Cambridge, 2005
ISBN 10 : 0521831865
ISBN 13 : 9780521831864
Neuf
Couverture rigide
Vendeur : CitiRetail, Stevenage, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : 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 book provides a rapid route for graduate students and researchers to contemplate the frontiers of contemporary research in this classic subject. The authors include exercises and historical and cultural comments relating the basic ideas to a broader context. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521831864
Quantité disponible : 1 disponible(s)