Product Description: You've seen him in the magazines. You've seen him on the campaign trail. You've seen him in the mug shots. You've seen him drunk. You've seen him sober. Mostly drunk. Now, if you can handle it, you can see all of him.In your hands, you hold one of the most hotly anticipated biographies of our time...read more

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. (view table of contents)