Hamiltonian mechanics serves as a mathematical generalization of Newtonian mechanics, providing a framework that extends beyond mere calculations to explore fundamental relationships in physics. Developed by William Rowan Hamilton, this approach emphasizes the role of energy and coordinates in understanding physical systems. The discussion also touches on Lagrangian mechanics as a potential intermediary between Newtonian and Hamiltonian frameworks, highlighting the evolution of classical mechanics.
PREREQUISITESPhysicists, students of classical mechanics, and anyone interested in the historical and mathematical evolution of physical theories will benefit from this discussion.
Yesomie said:Is Hamiltonian mechanics a mathematical generalization of Newtonian mechanics
What is "extending into our nature" in the framework of physics? Isn't all physics describing nature?or is it explaining some fundamental relationship that has a meaning that extends into our nature ?
I absolutely can't speak for him. Historians may do a better job. What is about Langrangian mechanics? Do you think it is sort of step between?I guess my question is what would led William Rowan Hamilton to come up with his type of mechanics or anything relating to that.