Selected Topics in the Geometrical Study of Differential Equations [electronic resource]
- Kamran, Niky 1959-
- Providence : American Mathematical Society June 2002
- Physical Description:
- 115 p. ill
- Restrictions on Access:
- License restrictions may limit access.
- Annotation The geometrical study of differential equations has a long and distinguished history, dating back to the classical investigations of Sophus Lie, Gaston Darboux, and Elie Cartan. Currently, these ideas occupy a central position in several areas of pure and applied mathematics. In this book, the author gives an overview of a number of significant ideas and results developed over the past decade in the geometrical study of differential equations. Topics covered in the book include symmetries of differential equations and variational problems, the variational bi-complex and conservation laws, geometric integrability for hyperbolic equations, transformations of submanifolds and systems of conservation laws, and an introduction to the characteristic cohomology of differential systems. The exposition is sufficiently elementary so that non-experts can understand the main ideas and results. The book is also suitable for graduate students and researchers interested in the study of differential equations from a geometric perspective.
0821826395 (Trade Paper)
- Audience Notes:
- Scholarly & Professional American Mathematical Society
View MARC record | catkey: 37766338