The calculus of variations /
"The book focuses on variational problems that involve one independent variable. The fixed endpoint problem and problems with constraints are discussed in detail. In addition, more advanced topics, such as the inverse problem, eigenvalue problems, separability conditions for the Hamilton-Jacobi...
Основен автор: | Van Brunt, B. |
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Формат: | Книга |
Език: | English |
Публикувано: |
New York :
Springer,
c2004.
|
Серия: |
Universitext.
|
Предмети: | |
Онлайн достъп: |
Table of contents Available to Stanford-affiliated users at: Available to Stanford-affiliated users at: Publisher description |
Съдържание:
- 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
- Analysis and differential equations
- Function spaces.