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Non-commuting Variations in Mathematics and Physics A Survey /
This text presents and studies the method of so -called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule us...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Interaction of Mechanics and Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Basics of the Lagrangian Field Theory
- Lagrangian Field Theory with the Non-commuting (NC) Variations
- Vertical Connections in the Congurational Bundle and the NCvariations
- K-twisted Prolongations and -symmetries (by Works of Muriel,Romero
- Applications: Holonomic and Non-Holonomic Mechanics,H.KleinertAction Principle, Uniform Materials,and the Dissipative Potentials
- Material Time, NC-variations and the Material Aging
- Fiber Bundles and Their Geometrical Structures, Absolute Parallelism
- Jet Bundles, Contact Structures and Connections on Jet Bundles
- Lie Groups Actions on the Jet Bundles and the Systems of Differential Equations.