Analytical Mechanics

Valter Moretti is Full Professor of Mathematical Physics at University of Trento (Italy) and currently head of the doctoral school in mathematics. He is the coordinator of the research group in mathematical physics and of the local research group on quantum and quantum relativistic theories at Trento Institute for Fundamental Physics and Applications, within the Italian National Institute for Nuclear Physics. He is author/co-author of several books on quantum and quantum relativistic theories and has published over 70 papers in international journals on the subject, including quantum information. He is co-owner of an international patent on quantum technologies. He is member of the managing board of the interdepartmental Laboratory Quantum@TN on quantum sciences and technologies.

• 1 The Space and Time of Classical Physics.- 2 The Spacetime of Classical Physics and Classical Kinematics.- 3 Newtonian dynamics: a conceptual critical review.- 4 Balance equations and first integrals in Mechanics.- 5 Introduction to Rigid Body Mechanics.- 6 Introduction to stability theory with applications to Mechanics.- 7 Foundations of Lagrangian Mechanics.- 8 Symmetries and conservation laws in Lagrangian Mechanics.- 9 Advanced topics in Lagrangian Mechanics.- 10 Mathematical introduction to Special Relativity and the relativistic Lagrangian formulation.- 11 Fundamentals of Hamiltonian Mechanic.- 12 Canonical Hamiltonian theory, Hamiltonian symmetries and Hamilton-Jacobi theory.- 13 Hamiltonian symplectic structures: an introduction.- 14 Complement: elements of the theory of ordinary differential equations.- 15 Complement: the physical principles at the foundations of Special Relativity.- Appendix A: elements of Topology, Analysis, Linear Algebra and Geometry.- Appendix B: advanced topics in Differential Geometry.- Appendix C: Solutions and/or hints to suggested exercises.

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