




Exterior Differential Systems and EulerLagrange Partial Differential Equations
University of Chicago Press, 2003 Paper: 9780226077949  Cloth: 9780226077932 Library of Congress Classification QA649.B744 2003 Dewey Decimal Classification 516.36
ABOUT THIS BOOK  AUTHOR BIOGRAPHY  TOC
ABOUT THIS BOOK
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 PoincaréCartan 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, EulerLagrange PDE systems, and higherorder 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. See other books on: Differential  Geometry  Mathematics See other titles from University of Chicago Press 
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