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Mathematical & Computational Physics

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Variational Principle Mathematical & Computational Physics Stationary Action Principle A fundamental physical principle asserting that true physical trajectories minimize or render stationary a scalar functional (such as action). δ S = δ ∫_t₁^t₂ L(q, q̇, t) dt = 0 (Hamilton's Principle) Vector Calculus Mathematical & Computational Physics Differential Operators 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)