**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

**Orthonormal Basis in Minkowski Space**

by

**Aleks Kleyn, Alexandre Laugier**-

**arXiv**

In this paper, we considered the definition of orthonormal basis in Minkowski space, the structure of metric tensor relative to orthonormal basis, procedure of orthogonalization. Contents: Preface; Minkowski Space; Examples of Minkowski Space.

(

**10230**views)

**Cusps of Gauss Mappings**

by

**Thomas Banchoff, Terence Gaffney, Clint McCrory**-

**Pitman Advanced Pub. Program**

Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.

(

**15690**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.

(

**8347**views)

**Projective Differential Geometry Old and New**

by

**V. Ovsienko, S. Tabachnikov**-

**Cambridge University Press**

This book provides a route for graduate students and researchers to contemplate the frontiers of contemporary research in projective geometry. The authors include exercises and historical comments relating the basic ideas to a broader context.

(

**17467**views)