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Classical Mechanics by Matthew Hole
Classical mechanics is the abstraction and generalisation of Newton's laws of motion undertaken, historically, by Lagrange and Hamilton. This note will introduce the two main approaches to classical mechanics: 1. the variational formulation 2. the phase space formulation (Hamilton's equations, Poisson brackets, canonical transformations, action-angle variables).
Author(s): Matthew Hole
NA Pages 
Classical Dynamics by Dr David Tong
The contents include: Newton’s Laws of Motion, The Lagrangian Formalism, The Motion of Rigid Bodies , The Hamiltonian Formalism, Introduction to Dynamics, Systems of Particles, Linear Oscillations, Calculus of Variations, Lagrangian Mechanics, Constraints, Central Forces and Orbital Mechanics, Small Oscillations, Elastic Collisions, Noninertial Reference Frames, Rigid Body Motion and Rotational Dynamics, Continuum Mechanics, Special Relativity, Hamiltonian Mechanics.
Author(s): Dr David Tong, University of Cambridge
139 Pages
Classical Mechanics by James Sparks
This note is about the Lagrangian and Hamiltonian formulations of classical mechanics. Topics covered includes: Newtonian mechanics, Lagrangian mechanics, Small oscillations, Rigid body dynamics, Hamiltonian mechanics and Levi-Civita alternating symbol.
Author(s): James Sparks
96 Pages
This note describes the following topics: The Calculus of Variations, Fermat's Principle of Least Time, Hamilton's Principle and Noether's Theorem, Mechanical Similarity, Hamilton's Equations, Poisson Brackets, A New Expression for the Action, Maupertuis' Principle, Canonical Transformations, Liouville's Theorem, The Hamilton-Jacobi Equation, Adiabatic Invariants and Action-Angle Variables, Mathematics for Orbits, Keplerian Orbits, Elastic Scattering, Small Oscillations, Driven Oscillator, One-Dimensional Crystal Dynamics, Parametric Resonance, The Ponderomotive Force, Resonant Nonlinear Oscillations, Rigid Body Motion, Moments of Inertia, Rigid Body Moving Freely, Euler Angles, Eulers Equations, Non Inertial Frame, Coriolis effect, A Rolling Sphere on a Rotating Plane.
Author(s): Michael Fowler
NA Pages
Classical Mechanics III by Prof. Iain Stewart
This lecture note covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. It provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos.
Author(s): Prof. Iain W. Stewart
NA Pages
Classical Mechanics II by Joel Franklin
This note covers the following topics: Lagrangian, metric and coordinates, Legendre transform and the Hamiltonian, Canonical transformations, Tensor transformation and the derivative, Parallel transport on a sphere, Infinitesimal transformations, Newtonian gravity, The Riemann tensor and curvature, Matter coupling and variation, Linearized gravity and metric interpretation, Schwarzschild geodesics.
Author(s): Joel Franklin
NA Pages
Classical Mechanics MIT Course Notes
This lecture note explains the following topics: History and Limitations of Classical Mechanics, Units, Dimensional Analysis, Problem Solving, and Estimation, Vectors, Dimensional Kinematics, Newton’s Laws of Motion, Circular Motion, Momentum, System of Particles, and Conservation of Momentum, Potential Energy and Conservation of Energy, Angular Momentum, Simple Harmonic Motion, Celestial Mechanics, Kinetic Theory.
Author(s): MIT
NA Pages
Classical Mechanics by Tom W.B. Kibble and Frank H. Berkshire
This book is designed for students with some previous acquaintance with the elementary concepts of mechanics, but the book starts from first principles, and little detailed knowledge is assumed. An essential prerequisite is a reasonable familiarity with differential and integral calculus, including partial differentiation.
Author(s): Tom W.B. Kibble and Frank H. Berkshire
NA Pages
Classical Mechanics by Charles B. Thorn
This book explains the following topics: Hamilton’s Principle of Least Action, Conservation Laws and Symmetries of the Lagrangian, Solving the Equations of Motion, Scattering Processes, Small Oscillations, Rigid body motion and Hamiltonian Formulation of Mechanics.
Author(s): Charles B. Thorn
76 Pages
Classical Mechanics by H.C. Rosu
This note covers the following topics: The 'minimum' principles , Motion in central forces, Rigid body, Small oscillations, Canonical transformations, Poisson parentheses, Hamilton-Jacobi Equations, Action-Angle variables, Perturbation theory, Adiabatic invariants, Mechanics of continuous systems.
Author(s): H.C. Rosu
131 Pages
Physics I Classical Mechanics III
This note covers the following topics: introduction , force as a vector, static equilibrium, addition and subtraction of vectors ,kinematics: describing 1D motion and relative velocity , kinematics and velocity , kinematics: 2D motion and circular motion , Newton's three laws , friction , springs , circular motion with gravity , potential energy diagrams, potential energy of springs , conservation of momentum , momentum, combining momentum and energy , 2D collisions , power, impulse, center of mass , simple harmonic motion , gravity, properties of fluids , introduction to angular motion , statics and dynamics of angular motion , pendulums and kinetic energy of rotation , energy and momentum of rotation.
Author(s): Dr. George Stephans
NA Pages
Classical Mechanics An introductory course (PDF 297p)
This note covers the following topics: Motion in 1 dimension, Motion in 3 dimension, Conservation of energy, Newton's laws of motion, Conservation of momentum, Circular motion, Rotational motion, Angular momentum, Statics, Oscillatory motion, Orbital motion and Wave motion.
Author(s): Richard Fitzpatrick, University of Texas at Austin
297 Pages
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Lecture Notes on Classical Mechanics for Physics [Sunil Golwala PDF 396p]
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Author(s): NA
NA Pages
Classical Mechanics Lecture Notes [PDF 8p]
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Lecture Notes for Classical Mechanics [PDF 14p]
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Classical Mechanics Course Material
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