Analytical Mechanics
portes grátis
Analytical Mechanics
Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity
Moretti, Valter; Chiossi, Simon G.
Springer International Publishing AG
06/2023
832
Mole
Inglês
9783031276118
15 a 20 dias
Descrição não disponível.
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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Lagrangian Mechanics;Hamiltonian Mechanics;Newtonian Mechanics;Noether Mechanics;Liapunov Stability;Geometrical Differential Methods;Special Relativity
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
