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One-form (differential geometry)
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Green Functions: Theory and Applications
Explores the theory and applications of Green functions in classical electrodynamics, emphasizing the importance of choosing the right function based on boundary conditions.
Electrodynamics: Coulomb Force and Ampere Law
Explores the Coulomb force and Ampere law in classical electrodynamics.
Electric Field & Gauss's Law
Explores electric fields, work done on charges, flux, and Gauss's law.
Mathematical Complements: df or δf, Consequences
Explores the consequences of exact differential forms and necessary conditions for total exact differentials, using examples from mountain hiking.
Second Maxwell's equation: Magnetic dipole
Covers Maxwell's equations, magnetic dipoles, vector potential, torque, and field patterns.