Introduction
Objects of study in Vector Calc: Forces, Fields, Flows
What is Calc IV? Differential Geometry!
Electricity and Magnetism
Vector calculus was invented by O. Heaviside and J. W. Gibbs (1901) to simplify the presentation of electromagnetic theory that was originally written using quaternion fields by James Clerk Maxwell (1873). Since then it has been used extensively for fluid dynamics as well.
Maxwell:
Heaviside:
(also Telegrapher Equations)
Gibbs:
(also statistical mechanics)
Charged particles:
Current in solenoid:
Maxwell Equations:
EM Waves:
Fluid Dynamics
SpaceX Starship reentry:
Rayleigh-Taylor instability:
Laminar vs. turbulent flow:
Conservation of Mass:
Conservation of Momentum:
Conservation of Energy:
Plasma Physics: Fluids + EM Fields:
Tokomaks:
Stellerators:
Hall Effect Thruster:
Mathematics: Differential Geometry
Gravity:
Link: Gravitational lensing simulation
Optimization
