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Essentials of Hamiltonian dynamics /
"Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry, and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in d...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; ESSENTIALS OF HAMILTONIAN DYNAMICS; Title; Copyright; Dedication; Contents; Preface; 1: Fundamentals of classical dynamics; 1.1 Newtonian mechanics; 1.2 Configuration space; 1.2.1 Particle on a sphere; 1.2.2 Planar double pendulum; 1.2.3 Independence of constraints; 1.2.4 Configuration space as a differential manifold; 1.3 Lagrangian formulation of Newtonian mechanics; 1.4 Hamiltonian formulation; 1.4.1 Introduction of the Hamiltonian; 1.4.2 Phase space; 1.5 Examples; 1.5.1 Harmonic oscillator; 1.5.2 Simple pendulum; 1.5.3 Exact solution of the pendulum equations.