nptel.ac.in
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NPTEL is a major Indian online learning platform offering free courses from IITs and IISc across engineering, science, and mathematics. It provides lecture videos, downloadable notes, assignments, and quizzes for self-paced study, including topics like calculus, differential equations, and dynamical systems such as Hamiltonian mechanics.
More resources on Hamiltonian Systems
Scholarpedia - Hamiltonian Systems
Encyclopedic article on Hamiltonian systems
ChaosBook.org
Free online book on chaotic dynamical systems including Hamiltonian chaos
Classical Mechanics III: Hamiltonian and Lagrangian Mechanics
Explore Hamiltonian and Lagrangian Mechanics with Leonard Susskind. Learn advanced classical physics concepts in this engaging course.
Mathematical Methods of Classical Mechanics
Mathematical Methods of Classical Mechanics - A book resource
mathworld.wolfram.com
MathWorld is an online, comprehensive mathematics encyclopedia from Wolfram that provides in-depth articles on a wide range of topics, including Hamiltonian systems. Each entry includes definitions, explanations, formulas, examples, diagrams, and references.
ocw.mit.edu
MIT OpenCourseWare provides free, openly licensed MIT course materials across science and engineering, including resources for learning Hamiltonian systems. It offers lecture notes, assignments, exams, and sometimes video lectures, enabling self-paced study of topics like Hamiltonian mechanics.