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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 Julio Gea Banacloche
This is a “minimalist” textbook for a first semester of university, calculus-based physics, covering classical mechanics, plus a brief introduction to thermodynamics. Topics covered includes: Acceleration, Momentum and Inertia, Kinetic Energy, Interactions and energy, Interactions, Forces, Impulse, Work and Power, Motion in two dimensions, Rotational dynamics, Gravity, Simple harmonic motion, Waves in one dimension, Thermodynamics.
Author(s): Julio Gea-Banacloche
NA 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
Notes for Classical Mechanics, Govind S. Krishnaswami
This note explains the following topics: Newtonian and Lagrangian mechanics of point particles, Hamiltonian formalism of mechanics, Canonical transformations, Rigid body mechanics, Dynamics of continuous media/deformable bodies: Lagrangian and Eulerian descriptions, Vibrations of a stretched string.
Author(s): Govind S. Krishnaswami
64 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 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 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
Lecture Notes on Classical Mechanics
The level of this note is appropriate for an advanced under graduate or a first year graduate course in classical mechanics. This note covers the following topics: introduction to Dynamics, Systems of Particles, one-Dimensional Conservative Systems, linear Oscillations, Calculus of Variations, Lagrangian Mechanics, Noether’s Theorem, Central Forces and Orbital Mechanics, Small Oscillations, Elastic Collisions, Noninertial Reference Frames, Rigid Body Motion and Rotational Dynamics, Continuum Mechanics, Special Relativity and Hamiltonian Mechanics.
Author(s): Daniel Arovas
453 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
Mathematical methods of classical mechanics (PDF 24p)
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism.
Author(s): Sergei Tabachnikov
24 Pages
Lectures on Classical Mechanics [PDF 76p]
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NA Pages
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NA Pages
Classical Mechanics Class Notes
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NA Pages
Classical Mechanics Course Material
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