

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




Classical Dynamics IntroductionChennai Mathematical InstitutePDF  123 Pages  EnglishThis 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, HamiltonJacobi Theory, Nonlinear Maps and Chaos.
 One Dimensional DynamicsWelington de Melo and Sebastian van StrienPDF  594 Pages  EnglishThis 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 VibrationsAllan Bower, Jimmy XuOnline  NA Pages  EnglishThis 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 BodiesOliver M.
OReillyPDF  368 Pages  EnglishThis 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 DynamicsRichard FitzpatrickPDF  300 Pages  EnglishThis note the explains the following
topics: Newton’s Laws of Motion, OneDimensional Motion, MultiDimensional
Motion, Planetary Motion, TwoBody 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 HallerProf. George HallerOnline  NA Pages  EnglishThis course reviews
momentum and energy principles, and then covers the following topics:
Hamilton's principle and Lagrange's equations; threedimensional kinematics
and dynamics of rigid bodies, steady motions and small deviations therefrom,
gyroscopic effects, and causes of instability, free and forced vibrations of
lumpedparameter and continuous systems; nonlinear oscillations and the phase
plane, nonholonomic systems, and an introduction to wave propagation in
continuous systems.
 Lectures on Dynamics and RelativityDavid Tong, Cambridge
UniversityOnline  NA Pages  EnglishThis 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, NonInertial Frames and Special Relativity.The lecture
notes can be downloaded in both PDF and PS formats
 Lectures on Classical DynamicsDavid Tong, Cambridge UniversityOnline  NA Pages  EnglishThis 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 NotesProf. Sheila Widnall, Prof. John Deyst and Prof. Edward
GreitzerOnline  NA Pages  EnglishThis note covers the following topics: Projectile
Motion, scillations: Mass on a Spring, forced Oscillations, Polar coordinates,
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 GravitationA. S. EddingtonPDF  219 Pages  EnglishThis 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.
  Dynamics in One Complex Variable Introductory LecturesJohn
MilnorPDF  130 Pages  EnglishThese 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 








