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Lagrangian and hamiltonian geometries. Aplications to analytical mechanics
Lagrangian and hamiltonian geometries. Aplications to analytical mechanics
Preț: 49.90 lei
  • Carte în stoc
  • Livrare estimativă în 2 zile
Cod produs: 186658
Autor(i): Radu Miron
Editura: Editura Fair Partners
Anul aparitiei: 2011
Nr. pagini: 266 pagini
Limba: engleza
Tip coperta: tare
ISBN: 9789732721292
Categorii: Carte scolara, Matematica, Matematici superioare, Manuale scolare
The aim of this present monograph is twofold:

1. To provide a compendium of lagrangian and hamiltonian geometries;

2. To introduce and investigate a new analytical mechanics: finslerian, lagrangian and hamiltonian.

One knows that the geometrical theory of nonconservative mechanical systems cannot be rigourously constructed without the use of the geometry of the tangent bundle of the configuratuion space.

The solution of this problem is based on the lagrangian and hamiltonian geometries. In fact, the construction of these geometries relies on the mechanical principles and on the notion of Legendre transformation.

Contents

Part I lagrange and hamilton spaces

Part II lagrangian and hamiltonian spaces

Part III analytical mechanics of lagrangian and hamiltonian mechanical systems

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