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Mathematical & Computational Physics

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Mathematical & Computational Physics

Variational Principle

A fundamental physical principle asserting that true physical trajectories minimize or render stationary a scalar functional (such as…

δ S = δ ∫_t₁^t₂ L(q, q̇, t) dt = 0 (Hamilton's Principle) Stationary Action Principle
Mathematical & Computational Physics

Vector Calculus

A branch of mathematics dealing with multivariable differentiation and integration of vector fields in 3D Euclidean space.

∇f (Grad), ∇ · F (Div), ∇ × F (Curl), ∇²f (Laplacian) Differential Operators