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This section contains free e-books and guides on Classical Mechanics, some of the resources in this section can be viewed online and some of them can be downloaded.

Classical Mechanics Books
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Variational Principles In Classical Mechanics

PDF | 587 Pages | English
The goal of this book is to introduce the reader to the intellectual beauty, and philosophical implications, of the fact that nature obeys variational principles that underlie the Lagrangian and Hamiltonian analytical formulations of classical mechanics. Topics covered includes: History of classical mechanics, Newtonian mechanics, Linear oscillators, Nonlinear systems and chaos, Calculus of variations, Lagrangian dynamics, Symmetries, Invariance and the Hamiltonian, Hamiltonian mechanics, Rigid-body rotation, Relativistic mechanics, The transition to quantum physics.

 
Classical Mechanics a Critical Introduction

PDF | 364 Pages | English
The first draft of this book was composed many years ago and was intended to serve either as a stand-alone text or as a supplementary tutor for the student. Topics covered includes: Kinematics: The Mathematical Description Of Motion, Newton’s First And Third Laws: Statics Of Particles, Newton’s Second Law; Dynamics Of Particles, Conservation And Non-conservation Of Momentum, Work And Energy, Simple Harmonic Motion, Static Equilibrium Of Simple Rigid Bodies, Rotational Motion, Angular Momentum And Dynamics Of Rigid Bodies, Newton’s Law Of Universal Gravitation.

 
Classical Mechanics by Eric D Hoker

PDF | 135 Pages | English
This note explains the following topics: Review of Newtonian Mechanics, Lagrangian Formulation of Mechanics, Quadratic Systems: Small Oscillations, Hamiltonian Formulation of Mechanics, Lie groups and Lie algebras, Motion of Rigid Bodies, Special Relativity, Fluid Mechanics, Completely integrable systems, Global properties of Hamiltonian mechanics.

 
Classical Mechanics III by Prof. Iain Stewart

Online | NA Pages | English
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.

 
Classical Mechanics Konstantin Likharev

PDF | 231 Pages | English
This note covers the following topics: Lagrangian Formalism, Oscillations, From Oscillations to Waves, Rigid Body Motion, Deformations and Elasticity, Fluid Mechanics, Deterministic Chaos, Analytical Mechanics.

 
Classical Mechanics II by Joel Franklin

Online | NA Pages | English
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.

 
Classical Mechanics by Matthew Hole

Online | NA Pages | English
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).

 
Classical Mechanics and Dynamical Systems

PDF | 211 Pages | English
This note explains the following topics: Classical mechanics, Lagrange equations, Hamilton’s equations, Variational principle, Hamilton-Jacobi equation, Electromagnetic field, Discrete dynamical systems and fractals, Dynamical systems, Bifurcations.

 
Classical Mechanics by Robert L. Dewar

PDF | 109 Pages | English
This note covers the following topics:Generalized Kinematics, Constrained variation, Lagrangian Mechanics, Lagrange’s equations, Hamiltonian Mechanics, Canonical transformations.

 
Classical Mechanics MIT Course Notes

Online | NA Pages | English
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.

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

Online | NA Pages | English
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.

 
Classical Mechanics by Charles B. Thorn

PDF | 76 Pages | English
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.

 
Classical Mechanics by H.C. Rosu

Online | 131 Pages | English
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.

 
Lecture Notes on Classical Mechanics

PDF | 453 Pages | English
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.

 
Classical Mechanics a Critical Introduction

PDF | 284 Pages | English
This book covers the standard topics and the fundamental concepts of mechanics. Each chapter includes a number of Examples, which are problems relating to the material in the chapter, together with solutions and relevant discussions.

 
Physics I Classical Mechanics II

Online | NA Pages | English
This note covers the following topics: introduction to mechanics, mathematics the language of science, translational kinematics, force and Newton's laws of motion, circular motion, conservation of energy, momentum, two-dimensional rotational motion, angular momentum, rotation and translation, central force motion.

 
Physics I Classical Mechanics III

Online | NA Pages | English
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.

 
Classical Mechanics An introductory course

Online | NA Pages | English
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.

 
Classical Mechanics An introductory course (PDF 297p)

PDF | 297 Pages | English
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.

 
Classical Mechanics (Joel A. Shapiro PDF 252p)

PDF | 252 Pages | English
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.

 
Mathematical methods of classical mechanics (PDF 24p)

PDF | 24 Pages | English
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.

 
Classical Mechanics

Online | NA Pages | English
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.

 
Lecture Notes in Classical Mechanics (PDF 125p)

PDF | 125 Pages | English
This book explains the following topics: Newtonian Mechanics, Variational Calculus, Lagrangian mechanics, The two-body central force problem, Hamiltonian mechanics, Canonical transformations, The Hamilton-Jacobi theory and Quantum mechanics.

 
Lectures on Classical Mechanics [PDF 76p]
Classical Mechanics Notes
Lecture Notes on Classical Mechanics for Physics [Sunil Golwala PDF 396p]
Classical Mechanics Lecture Notes [PDF 8p]
Lecture Notes for Classical Mechanics [PDF 14p]
Physics I Classical Mechanics
Classical Mechanics Class Notes
LAGRANGIAN MECHANICS [PDF 18p]
Classical Mechanics Course Material
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