Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

Robert Bryant, Phillip Griffiths, Daniel Grossman

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English

University of Chicago Press
01 July 2003

Mathematics & Sciences; Differential calculus & equations

Series: Chicago Lectures in Mathematics Series CLM

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. 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.

By: Robert Bryant, Phillip Griffiths, Daniel Grossman
Imprint: University of Chicago Press
Country of Publication: United States
Edition: New edition
Dimensions: Height: 23mm, Width: 17mm, Spine: 1mm
Weight: 340g
ISBN: 9780226077949
ISBN 10: 0226077942
Series: Chicago Lectures in Mathematics Series CLM
Pages: 216
Publication Date: 01 July 2003
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Robert Bryant is the J. M. Kreps Professor in the Department of Mathematics at Duke University. Phillip Griffiths is the director of the Institute for Advanced Study and professor in the Department of Mathematics at Duke University. Daniel Grossman was an L. E. Dickson Instructor in the Department of Mathematics at the University of Chicago at the time of writing, and is now a consultant at the Chicago office of the Boston Consulting Group.

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Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

Robert Bryant, Phillip Griffiths, Daniel Grossman

$52.95

Paperback

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