Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

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 Poincare-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.

About the author

Summary

This study presents the results of the authors' development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms.

Product details

• Authors: Bonnie Bryant, Robert Bryant, Dawn Griffiths, Phillip Griffiths, Grossman, Daniel Grossman
• Publisher: University Of Chicago Press
• Languages: English
• Product format: Hardback
• Released: 01.07.2003
• EAN: 9780226077932
• ISBN: 978-0-226-07793-2
• No. of pages: 216
• Dimensions: 240 mm x 162 mm x 14 mm
• Weight: 428 g
• Series: Chicago Lectures in Mathematics; Chicago Lectures in Mathematic; Chicago Lectures in Mathematics; Chicago Lectures in Mathematics Series CLM (CHUP); Chicago Lectures in Mathematics Series CLM
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis