vbid/9783031276125

Description

This textbook aims at introducing readers, primarily students�enrolled in undergraduate Mathematics or Physics courses, to the�topics and methods of classical Mathematical Physics, including Classical Mechanics, its�Lagrangian and Hamiltonian formulations, Lyapunov�stability, plus the Liouville theorem and�the Poincar� recurrence theorem among others. The material also rigorously covers the theory of Special Relativity. The logical-mathematical structure of the physical theories of concern is�introduced in an axiomatic way, starting from a limited�number of physical assumptions. Special attention is paid to�themes with a major impact on Theoretical and Mathematical�Physics beyond Analytical Mechanics, such as the Galilean symmetry of classical Dynamics and the Poincar� symmetry of�relativistic Dynamics, the far-fetching relationship between symmetries�and constants of motion, the coordinate-free nature of the underpinning mathematical objects, or the possibility of�describing Dynamics in a global way while still working in local�coordinates. Based on the author�s established teaching experience, the text was conceived to be�flexible and thus adapt to different curricula and to the needs of�a wide range of students and instructors.Typham this is the title: Analytical Mechanics Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity