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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

The topics in this lecture notes are : Linear and Nonlinear Oscillators, Lagrangian and Hamiltonian equations of motion, Canonical transformations, Liouville�s theorem, Action-angle variables, Coordinate system and Hamiltonian in an accelerator, Equations of motion in accelerator, Action-angle variables for circular machines, Field errors and nonlinear resonances, Resonance overlapping and dynamic aperture, The kinetic equation, Radiation damping effects, Primer in Special Relativity, Selected electrostatic and magnetostatic problems, Self field of a relativistic beam, Effect of environment on electromagnetic field of a beam, Plane electromagnetic waves and Gaussian beams, Radiation and retarded potentials, Scattering of electromagnetic waves, Synchrotron radiation, Undulator radiation, Transition and diffraction radiation, Formation length of radiation and coherent effects, Synchrotron radiation reaction force, Waveguides and RF cavities, Laser acceleration in vacuum. Inverse FEL acceleration.

Author(s): G. Stupakov, The US Particle Accelerator School

214 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

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 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

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

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Classical Mechanics by Tom W.B. Kibble and Frank H. Berkshire

Classical Mechanics by Tom W.B. Kibble and Frank H. Berkshire

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