Name: Mathematical Physics i: Dynamical Systems and Classical Mechanics: Lecture Notes (en Inglés)
Price: 77.95 USD
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Author: Matteo Petrera
ISBN: 9783832535698

portada Mathematical Physics i: Dynamical Systems and Classical Mechanics: Lecture Notes (en Inglés)

Mathematical Physics i: Dynamical Systems and Classical Mechanics: Lecture Notes (en Inglés)

Formato

Libro Físico

Editorial

Logos Verlag

Autor

Matteo Petrera

Idioma

Inglés

N° páginas

264

Encuadernación

Tapa Blanda

ISBN13

9783832535698

Mathematical Physics i: Dynamical Systems and Classical Mechanics: Lecture Notes (en Inglés)

Matteo Petrera (Autor) · Logos Verlag · Tapa Blanda

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Reseña del libro "Mathematical Physics i: Dynamical Systems and Classical Mechanics: Lecture Notes (en Inglés)"

These Lecture Notes provide an introduction to the theory of finite-dimensional dynamical systems. The first part presents the main classical results about continuous time dynamical systems with a finite number of degrees of freedom. Among the topics covered are: initial value problems, geometrical methods in the theory of ordinary differential equations, stability theory, aspects of local bifurcation theory. The second part is devoted to the Lagrangian and Hamiltonian formulation of finite-dimensional dynamical systems, both on Euclidean spaces and smooth manifolds. The main topics are: variational formulation of Newtonian mechanics, canonical Hamiltonian mechanics, theory of canonical transformations, introduction to mechanics on Poisson and symplectic manifolds. The material is presented in a way that is at once intuitive, systematic and mathematically rigorous. The theoretical part is supplemented with many concrete examples and exercises.