The calculus of variations /
The calculus of variations has a long history of interaction with other branches of mathematics, such as geometry and differential equations, and with physics, particularly mechanics. More recently, the calculus of variations has found applications in other fields such as economics and electrical en...
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| Format: | eBook |
| Language: | English |
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New York :
Springer,
[2004]
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| Series: | Universitext
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book Connect to the full text of this electronic book |
Table of Contents:
- Preface
- Introduction
- The First Variation
- Some Generalizations
- Isoperimetric Problems
- Applications to Eigenvalue Problems
- Holonomic and Nonholonomic Constraints
- Problems with Variable Endpoints
- The Hamiltonian Formulation
- Noether's Theorem
- The Second Variation
- Appendix A: Some Results from Analysis and Differential Equations
- Appendix B: Function Spaces
- References
- Index.