Overview

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.

ISBN-13

9780226077932

ISBN-10

0226077934

Weight

0.94 Pounds

Dimensions

6.00 x 0.70 x 9.00 In

List Price

$99.00

Edition

1st Edition

Format

Hardcover

Language

English

Pages

216 pages

Publisher

University of Chicago Press

Published On

2003-07-01



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