**Exterior Differential Systems and Euler-Lagrange Partial Differential Equations**

by R. Bryant, P. Griffiths, D. Grossman

**Publisher**: University Of Chicago Press 2008**ISBN/ASIN**: 0226077942**ISBN-13**: 9780226077949**Number of pages**: 219

**Description**:

The authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and PoincarĂ©-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study.

Download or read it online for free here:

**Download link**

(1.6MB, PDF)

## Similar books

**A Geometric Approach to Differential Forms**

by

**David Bachman**-

**arXiv**

This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.

(

**14272**views)

**Lectures on Minimal Surface Theory**

by

**Brian White**-

**arXiv**

The goal was to give beginning graduate students an introduction to some of the most important basic facts and ideas in minimal surface theory. Prerequisites: the reader should know basic complex analysis and elementary differential geometry.

(

**7116**views)

**Advances in Discrete Differential Geometry**

by

**Alexander I. Bobenko (ed.)**-

**Springer**

This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.

(

**6768**views)

**Lectures on Exterior Differential Systems**

by

**M. Kuranishi**-

**Tata Institute of Fundamental Research**

Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.

(

**10714**views)