Classical Mechanics by H.C. Rosu

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 Sahra Haji

This lecture note explains the following topics: Newtons laws of motion, Scalars and Vector, Units and Dimensions, Time rate of change of vectors, Motion in one dimension, Motion under a constant force, Force of friction, Kinematical relations, Simple Harmonic motion, Motion in a plane, Central force, Rotating frame of reference.

Author(s): Sahra Haji

82 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

Graduate Classical Mechanics

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 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 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

Classical Mechanics An introductory course

This note covers the following topics: Motion in 1 dimension, Motion in 3 dimension, Newton's laws of motion, Conservation of energy, Circular motion, Rotational motion, Angular momentum, Statics, Oscillatory motion and Orbital motion.

Author(s): Richard Fitzpatrick, University of Texas at Austin

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

Classical Mechanics (Joel A. Shapiro PDF 252p)

This note covers the following topics: Particle Kinematics, Lagrange’s and Hamilton’s Equations, Two Body Central Forces, Rigid Body Motion, Small Oscillations, Hamilton’s Equations, Perturbation Theory and Field Theory.

Author(s): Joel A. Shapiro

252 Pages

Classical Mechanics

This note covers the following topics: Centres of Mass, Moment of Inertia, Systems of Particles, Rigid Body Rotation, Collisions, Motion in a Resisting Medium, Projectiles, Conservative Forces, Rocket Motion, Simple and Damped Oscillatory Motion, Forced Oscillations, Lagrangian Mechanics, Hydrostatics, The Cycloid, Central Forces and Equivalent Potential, Vibrating Systems and Dimensions.

Author(s): Dr. J. B. Tatum

NA Pages

Lectures on Classical Mechanics [PDF 76p]

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Author(s): NA

NA Pages

Classical Mechanics Notes

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NA Pages

Classical Mechanics Lecture Notes [PDF 8p]

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NA Pages

Classical Mechanics Course Material

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NA Pages