This note covers the
following topics: oscillators damped and driven and resonance (how to rock your
car out of a snow bank or use a swing), an introduction to Lagrangian mechanics
and optimization, symmetries and Noether's theorem, special relativity,
collisions and scattering, rotational motion, angular momentum, torque, the
moment of inertia tensor (dynamic balance), gravitation, planetary motion, and a
quantitative introduction to some of the mind-bending ideas of modern cosmology
like inflation and dark energy.
This note explains the following topics: Special relativity, Prelude to
general relativity, Differential geometry and tensor calculus, Curvature and
general relativity.
Author(s): Dr. Juan A. Valiente Kroon,University of
London
This book discusses one
of the crowning achievements of modern physics: the General Theory of
Relativity (GR). Major topics covered includes: Special Relativity, Index
Notation, Electromagnetism, Accelerated Motion, Equivalence Principle,
Curved Space and Metrics, Geodesics, Tensors, Black Holes, Einstein Equation
and Cosmology.
This a textbook on special relativity, aimed at undergraduates who have
already completed a freshman survey course. The treatment of electromagnetism
assumes previous exposure to Maxwell's equations in integral form, but no
knowledge of vector calculus. Topics covered includes: Spacetime,
Foundations, Kinematics, Dynamics, Inertia, Waves, Coordinates, Rotation, Flux
and Electromagnetism.
The aim of these lecture notes is
to provide a reasonably self-contained introduction to General Relativity,
including a variety of applications of the theory, ranging from the solar system
to gravitational waves, black holes and cosmology. This book covers the
following topics: Physics in a Gravitational Field and General Covariance,
General Relativity and Geometry, Dynamics of the Gravitational Field, General
Relativity and the Solar System, Black Holes, Cosmology, Varia, Kaluza-Klein
Theory.
This
note covers the following topics: Symmetry and Invariance, Relativistic
Kinematics, Variational Calculus, Relativistic Dynamics and Particle Physics,
The Equivalence Principle and General Relativity, Relativity and
Electromagnetism, General Relativity and Cosmology.
The purpose of this note is to introduce the theory of special relativity
in an easily understandable way.Covered topics are: The 2 Postulates,
The Relativity of Simultaneity, Length Contraction, Time Dilation, Lorentz
Transformation, The Metric, The Twins Paradox, Moving faster than light?,
Velocity Composition, Relativistic Dynamics and The 4-vector approach.
This book covers the
following topics: Newtonian Mechanics, Forces, Interlude: Dimensional
Analysis, Central Forces, Systems of Particles, Non-Inertial Frames and Special
Relativity.
This note provides an informal introduction to that beautiful and amazingly
accurate theory of gravity called general relativity. The goal is to explain the
basic equation in this theory - Einstein's equation - with a minimum of fuss and
muss.