Symmetries and Overdetermined Systems of Partial Differential Equations: 144 (The IMA Volumes in Mathematics and its Applications) - Tapa blanda

 
9781441925336: Symmetries and Overdetermined Systems of Partial Differential Equations: 144 (The IMA Volumes in Mathematics and its Applications)
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ISBN 10: 1441925333 ISBN 13: 9781441925336
Editorial: Springer, 2010

Sinopsis

Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not only those of first order but of higher order too. This three-week summer program considered the symmetries preserving various natural geometric structures. Often these structures are themselves derived from partial differential equations whilst their symmetries turn out to be contrained by overdetermined systems. This leads to further topics including separation of variables, conserved quantities, superintegrability, parabolic geometry, represantation theory, the Bernstein-Gelfand-Gelfand complex, finite element schemes, exterior differential systems and moving frames.

There are two parts to the Proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

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De la contraportada

Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not only those of first order but of higher order too. This three-week summer program considered the symmetries preserving various natural geometric structures. Often these structures are themselves derived from partial differential equations whilst their symmetries turn out to be contrained by overdetermined systems. This leads to further topics including separation of variables, conserved quantities, superintegrability, parabolic geometry, represantation theory, the Bernstein-Gelfand-Gelfand complex, finite element schemes, exterior differential systems and moving frames.

There are two parts to the Proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

These Proceedings are dedicated to the memory of Thomas P. Branson who played a leading role in the conception and organization of this Summer Program but did not live to see its realization.

 

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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441925333
ISBN 13 
9781441925336
Encuadernación
Tapa blanda
Número de páginas
584
Editor
Eastwood Michael, Miller Willard
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780387738307: Symmetries and Overdetermined Systems of Partial Differential Equations: 144 (The IMA Volumes in Mathematics and its Applications)

Edición Destacada

ISBN 10:  0387738304 ISBN 13:  9780387738307
Editorial: Springer, 2007
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