Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in Mathematics)
ISBN-13:
9780226077949
ISBN-10:
0226077942
Author:
Phillip Griffiths, Daniel Grossman, Robert L. Bryant
Publication date:
2003
Publisher:
University of Chicago Press
Format:
Paperback
216 pages
FREE US shipping
Book details
ISBN-13:
9780226077949
ISBN-10:
0226077942
Author:
Phillip Griffiths, Daniel Grossman, Robert L. Bryant
Publication date:
2003
Publisher:
University of Chicago Press
Format:
Paperback
216 pages
Summary
Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in Mathematics) (ISBN-13: 9780226077949 and ISBN-10: 0226077942), written by authors
Phillip Griffiths, Daniel Grossman, Robert L. Bryant, was published by University of Chicago Press in 2003.
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Description
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.
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