Exterior differential systems and euler-lagrange partial differential equations PDF

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INFORMATION
DATE DE PUBLICATION 2003-Jul-16
AUTEUR Robert Bryant
ISBN 9780226077949
TAILLE DU FICHIER 10,27 MB
NOM DE FICHIER Exterior differential systems and euler-lagrange partial differential equations.pdf
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DESCRIPTION

In Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, the authors further their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincaré-Carton forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the second variation, Euler-Lagrange PDE systems, and higher-order conservation laws. This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis.
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In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincaré-Cartan forms.They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study.

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in Mathematics) by Phillip Griffiths, Daniel Grossman, Robert L. Bryant (2003) Paperback on Amazon.com. *FREE* shipping on qualifying offers. Will be shipped from US. Used books may not include companion materials, may have some shelf wear, may contain highlighting/notes

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