Geometry of Partial Differential Equations: Geometry and Differential Equations - Couverture souple

Bracken, Paul

9783659251214: Geometry of Partial Differential Equations: Geometry and Differential Equations

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ISBN 10 : 3659251216 ISBN 13 : 9783659251214

Editeur : LAP LAMBERT Academic Publishing, 2012

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The study of partial differential equations has been the object of much investigation and seen a great many advances recently. This is primarily due to the fact that certain classes of these equations fall under the category of being integrable. These kinds of equations have many useful properties such as the existence of Lax pairs, Backlund transformations, explicit solutions and the existence of a correspondence with geometric manifolds. There have also been many applications of solutions to these equations in the study of solitons and other objects which have seen applications in physics. It is the objective here to study some of these equations in a general way by using various ideas that have evolved in the evolution of the subject of differential geometry. The first sections give some introductory material related to the subject, and then the latter sections seek to apply these ideas to obtain many useful results with regard to nonlinear equations and to some examples of nonlinear equations in particular. Each chapter is self-contained and can be read on its own if desired.

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� propos de l'auteur

The author is a Professor in the Mathematics Departmentat the University of Texas in Edinburg, TX. He obtained hisPhD from the University of Waterloo in Canada.His research interests include many subjects from the areasof Mathematics and Physics, which include differential geometry,differential equations, analysis, quantum theory and gravity.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: LAP LAMBERT Academic Publishing
Date d'�dition: 2012
Langue: anglais
ISBN 10: 3659251216
ISBN 13: 9783659251214
Reliure: Broch�
Nombre de pages: 152
Coordonn�es du fabricant: non disponible
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Geometry of Partial Differential Equations : Geometry and Differential Equations

Paul Bracken

Edit� par LAP Lambert Academic Publishing, 2012

ISBN 10 : 3659251216 ISBN 13 : 9783659251214

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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The study of partial differential equations has been the object of much investigation and seen a great many advances recently. This is primarily due to the fact that certain classes of these equations fall under the category of being integrable. These kinds of equations have many useful properties such as the existence of Lax pairs, Backlund transformations, explicit solutions and the existence of a correspondence with geometric manifolds. There have also been many applications of solutions to these equations in the study of solitons and other objects which have seen applications in physics. It is the objective here to study some of these equations in a general way by using various ideas that have evolved in the evolution of the subject of differential geometry. The first sections give some introductory material related to the subject, and then the latter sections seek to apply these ideas to obtain many useful results with regard to nonlinear equations and to some examples of nonlinear equations in particular. Each chapter is self-contained and can be read on its own if desired. N� de r�f. du vendeur 9783659251214

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Geometry of Partial Differential Equations

Paul Bracken

Edit� par LAP LAMBERT Academic Publishing, 2012

ISBN 10 : 3659251216 ISBN 13 : 9783659251214

Neuf Couverture souple

impression � la demande

Vendeur : moluna, Greven, Allemagne

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Bracken PaulThe author is a Professor in the Mathematics Departmentat the University of Texas in Edinburg, TX. He obtained hisPhD from the University of Waterloo in Canada.His research interests include many subjects from the areasof. N� de r�f. du vendeur 5143123

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