Exterior Differential Systems and the Calculus of Variations
15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Va...
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| Format: | eBook |
| Language: | English |
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Boston, MA
Birkhäuser
1983, 1983
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| Edition: | 1st ed. 1983 |
| Series: | Progress in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 0. Preliminaries
- I. Euler-Lagrange Equations for Differential Systems with One Independent Variable
- II. First Integrals of the Euler-Lagrange System; Noether’s Theorem and Examples
- III. Euler Equations for Variational Problems in Homogeneous Spaces
- IV. Endpoint Conditions; Jacobi Equations and the 2nd Variation; Conjugate Points; Fields and the Hamilton-Jacobi Equation; the Lagrange Problem
- Appendix: Miscellaneous Remarks and Examples
- a) Problems with Integral Constraints; Examples
- b) Classical Problems Expressed in Moving Frames