Main goal of this
note is to show the appropriate mathematics to a student of physics, roughly
familiar with all classes of theoretical physics except for quantum field
theory. Topics covered includes: Newtonian mechanics, Lagrangian mechanics,
Classical field theories, Hamiltonian mechanics, Quantum mechanics.
covers the following topics: General relativity, History of Quantum mechanics,
Orbits and gravitation, Special relativity, Topology and Scottish mathematical
physics, Light: Ancient Greece to Maxwell, Light in the relativistic and quantum
era, History of Time: Classic time, History of Time: 20th Century time,
Gravitation, Newton's bucket, Wave versus matrix mechanics, Kepler's planetary
laws and Kinematic planetary motion.
of Mathematics and Statistics, University of St Andrews, Scotland
This note aims to make students
aware of the physical origins of the main partial differential equations of
classical mathematical physics, including the fundamental equations of fluid and
solid mechanics, thermodynamics, and classical electrodynamics. Topics covered
includes: Kinematics and Conservation, Strain, Stress, Ideal Fluids and the
Euler Equations, Elastic Fluids and Acoustic Waves, Newtonian Fluids and the
Navier-Stokes Equations, Linear Elasticity, Thermodynamics and the Heat
Equation, Porous Flow, Electrodynamics and Maxwell’s Equations.