Physics
Classical Mechanics
Fictitious forces, ballistic pendulum, Poisson’s equation, Kepler’s problem, inertia tensor — 60 pages: Classical_mechanics.pdf
Thermodynamics
By studying the Carnot cycle and the associated thermodynamic temperature scale, Clausius discovers a new state function he calls entropy — 36 pages: Thermodynamics.pdf
Statistical Thermodynamics
Derivation of thermodynamic probabilities in classical Maxwell–Boltzmann statistics and in the quantum statistics of Maxwell–Boltzmann, Bose–Einstein, and Fermi–Dirac — 54 pages: Statistical_thermodynamics.pdf
Schrödinger Equation
The Schrödinger equation is the quantum counterpart of the fundamental relation of dynamics. It can be derived from the conservation of mechanical energy and the Planck–Einstein relations — 14 pages: Schrodinger_equation.pdf
Equation of time
Explanation of the origin of the variation of the true solar day — 11 pages: Equation_of_time.pdf
Length of Day and Night
Calculation of the length of day and night depending on the date and latitude — 4 pages: Length_of_day_and_night.pdf
Special Relativity
The Lorentz–Poincaré transformations — 39 pages: Lorentz_transformations.pdf