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.
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.
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.
Author(s): Welington de Melo and Sebastian van Strien
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.
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.
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.