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The action principle and partial differential equations /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
2000.
|
| Colección: | Annals of mathematics studies ;
no. 146. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Dedication; Contents; General Introduction; 1; 1.0 Introduction; 1.1 The Lagrangian Picture; 1.2 The Hamiltonian Picture; 1.3 Examples; 2; 2.0 Introduction; 2.1 The Canonical and Symplectic Forms; 2.2 Symplectic Transformations; 2.3 The Equations of Variation; 2.4 The Circulation Theorem; 2.5 The Euler System; 2.6 Irrotational Solutions; 2.7 The Equation of Continuity; 3 ; 3.0 Introduction; 3.1 Compatible Currents; 3.2 Null Currents and Null Lagragians; 3.3 The Source Equations; 3.4 The Generic Case n> 1 & m> 2; 3.5 The Separable Case m> 2; 3.6 The Case m = 2.
- 3.7 Lie Flows and the Noether Current4; 4.1 Sections of Vector Bundles; 5; 5.0 Introduction; 5.1 Relative Lagrangians; 5.2 Ellipticity and Hyperbolicity; 5.3 The Domain of Dependence; 6; 6.1 The Electromagnetic Field; 6.2 Electromagnetic Symplectic Structure; 6.3 Electromagnetic Compatible Currents; 6.4 Causality in Electromagnetic Theory; Bibliography; Index.