Analytical Mechanics

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Focused on classical Mathematical Physics, this textbook introduces key concepts such as Classical Mechanics, Lagrangian and Hamiltonian formulations, and significant theorems like Lyapunov stability and Poincaré recurrence. It rigorously explores Special Relativity through an axiomatic approach, emphasizing the logical-mathematical structure of the theories. The text highlights critical themes like Galilean and Poincaré symmetries, the interplay between symmetries and constants of motion, and the global description of Dynamics. Designed for flexibility, it caters to diverse curricula and student needs.