A clean notebook on Hamiltonian mechanics: Legendre transform, phase space, Poisson brackets, and canonical transformations at the advanced-undergrad level.

For students preparing for graduate classical mechanics or GR/QFT later.

• From Lagrangians to Hamiltonians
• Hamilton’s equations on standard systems
• Poisson brackets and conserved quantities
• Canonical transformations and generating functions
• Problem sets with phase-portrait commentary