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

Dynamics Books
Online Books
Dynamics by Dr Nopdanai Ajavakom

Online | NA Pages | English
This note covers the following topics: Kinematics of Particles, Rectilinear, Curvilinear x-y, Normal-tangential n-t, Polar r-theta, Relative motion, Force Mass Acceleration, Work Energy, Impulse Momentum, Kinematics of Rigid Bodies, Rotation, Absolute Motion, Relative Velocity, Relative Acceleration, Motion Relative to Rotating Axes, Force Mass Acceleration and Kinetics of Rigid Bodies.

 
Dynamics by James Sparks

PDF | 95 Pages | English
This note describes the following topics: Newtonian mechanics, Forces and dynamics, Motion in one dimension, Motion in higher dimensions, Constrained systems, The Kepler problem, Systems of particles, Rotating frames and rigid bodies.

 
Classical Dynamics Notes

Online | NA Pages | English
This note explains the following topics: Newtonian Mechanics, Newtonian Gravitation, Simple Dynamical Systems, Fixed Points and Limit Cycles, Lagranian Mechanics, Central Force Motion, Scattering from Central Force Potential, Dynamics in Rotating Frames of Reference, Rigid Body Dynamics , Oscillations, Hamiltonian Mechanics, Canonical Transformations, Action-Angle Coordinates, Hamilton-Jacobi Theory.

 
Classical Dynamics Introduction

PDF | 123 Pages | English
This set of lecture notes is an attempt to convey the excitement of classical dynamics from a contemporary point of view. Topics covered includes: Dynamical Systems, Newtonian System, Variational Principle and Lagrange equations, The Hamiltonian Formulation, Hamilton-Jacobi Theory, Non-linear Maps and Chaos.

 
One Dimensional Dynamics

PDF | 594 Pages | English
This note covers the following topics: Circle Diffeomorphisms, The Combinatorics of Endomorphisms, Structural Stability and Hyperbolicity, Structure of Smooth Maps, Ergodic Properties and Invariant Measures, Renormalization.

 
Introduction To Dynamics And Vibrations

Online | NA Pages | English
This note provides a broad introduction to Newtonian dynamics of particles and rigid bodies with applications to engineering design. Topics covered includes: kinematics and dynamics of particles and rigid bodies, conservation laws, vibrations of single degree of freedom systems, and use of MATLAB to solve equations of motion and optimize engineering designs.

 
Lecture Notes on the Dynamics of Particles and Rigid Bodies

PDF | 368 Pages | English
This note covers the following topics:Dynamics of a Single Particle, Kinematics of a Single Particle, Kinetics of a Single Particle, Lagrange’s Equations of Motion for a Single Particle, Dynamics of a System of Particles, Dynamics of Systems of Particles, Kinematics and Dynamics of a Single Rigid Body, Constraints on and Potentials for Rigid Bodies, Kinetics of a Rigid Body, Lagrange’s Equations of Motion for a Single Rigid Body.

 
Newtonian Dynamics

PDF | 300 Pages | English
This note the explains the following topics: Newton’s Laws of Motion, One-Dimensional Motion, Multi-Dimensional Motion, Planetary Motion, Two-Body Dynamics, Rotating Reference Frames, Rigid Body Rotation, Lagrangian Dynamics, Hamiltonian Dynamics, Coupled Oscillations, Gravitational Potential Theory, Lunar Motion and  The Chaotic Pendulum.

 
Dynamics by Prof. George Haller

Online | NA Pages | English
This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies, steady motions and small deviations therefrom, gyroscopic effects, and causes of instability, free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane, nonholonomic systems, and an introduction to wave propagation in continuous systems.

 
Lectures on Dynamics and Relativity

Online | NA Pages | English
This is an introductory course on Newtonian mechanics and special relativity given to first year undergraduates. The notes were last updated in April 2012. Individual chapters and problem sheets are available on the link below. The full set of lecture notes come in around 145 pages and can be downloaded here. This covers the following topics: Newtonian Mechanics, Forces, Interlude, Dimensional Analysis, Systems of Particles, Central Forces, Rigid Bodies, Non-Inertial Frames and Special Relativity.The lecture notes can be downloaded in both PDF and PS formats

 
Lectures on Classical Dynamics

Online | NA Pages | English
This is a second course in classical mechanics, given to final year undergraduates. They were last updated in July 2012. Individual chapters and problem sheets are available below. The full set of lecture notes, weighing in at around 130 pages, can be downloaded here. This contains the following categories: Newtonian Mechanics, The Lagrangian Formulation, The Motion of Rigid Bodies, The Hamiltonian Formulation. The lecture notes can be downloaded in both PDF and PS formats

 
Dynamics Notes

Online | NA Pages | English
This note covers the following topics: Projectile Motion, scillations: Mass on a Spring, forced Oscillations, Polar co-ordinates, Simple Pendulum, Motion Under a Central Force, Kepler’s Laws, Polar equations of motion, Differential Equation for the Particle Path, Planetary motion, Momentum, Angular Momentum and Energy, Particle Motion under Gravity on Surface of Revolution with Vertical Axis of Symmetry, Stability and Instability, Rotating Systems, Many particle systems, Rigid body motion, Axisymmetric top.

 
Space, Time and Gravitation

PDF | 219 Pages | English
This book covers the following topics: What Is Geometry, The Fitzgerald Contraction, Relativity, The World Of Four Dimensions, Fields Of Force, Kinds Of Space, The New Law Of Gravitation And The Old Law, Momentum And Energy, Electricity And Gravitation.

 
Mechanism of the Heavens (1831), by Mary Somerville

Online | NA Pages | English
This note covers the following topics: Dynamics, Universal Gravitation, Lunar Theory and the Satellites.

 
Dynamics in One Complex Variable Introductory Lectures

PDF | 130 Pages | English
These note explains the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. Topics covered includes: Riemann Surfaces, The Julia Set, Local Fixed Point Theory, Global Fixed Point Theory, Structure of the Fatou Set, Caratheodory Theory and Polynomial Maps.

 
Introduction to Statics and Dynamics
Ordinary Differential Equations and Dynamical Systems [PDF]
Applied Nonlinear Dynamics Lecture Notes
Chaos Hypertextbook
Introduction to Chaos[PDF]
Introduction to Finite Element Methods (ASEN 5007)
Advanced Finite Element Methods
Nonlinear Finite Element Methods
Engineering Dynamics
Dynamical Theories of Brownian Motion [PDF 120p]
Topics in Dynamics I Flows
Dynamics and Relativity (Part II)
Dynamical Systems
Geometrical theory of dynamical systems
Dynamical Systems and Fractals Lecture Notes
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