Springer, 2023. — 848 p. — (UNITEXT 150). — ISBN 978-3031276118.
This textbook aims at introducing readers, primarily students enrolled in undergraduate Mathematics or Physics courses, to the topics and methods of classical Mathematical Physics, together with a mathematical formulation of the theory of special relativity. Special attention is devoted to classical mechanics, its Lagrangian formulation—including an introduction to Lyapunov stability, and to the Hamiltonian formulation, together with a few important results such as the Liouville theorem and Poincaré’s recurrence theorem. The general purpose is to present the logical-mathematical structure of physical theories, by introducing them in an axiomatic way, and start from a limited number of physical assumptions. To do so, we use the tools of analysis and elementary differential geometry.
The Space and Time of Classical Physics
The Spacetime of Classical Physics and Classical Kinematics
Newtonian Dynamics: A Conceptual Critical Review
Balance Equations and First Integrals in Mechanics
Introduction to Rigid Body Mechanics
Introduction to Stability Theory with Applications to Mechanics
Foundations of Lagrangian Mechanics