Mathematical Physics
Explore fields and transforms; variational and spectral methods; symmetry and conservation. Concepts and connections are available independently of video coverage.
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Dimensionless groups compare physical systems while respecting the dimensions of quantities.
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A Hamiltonian function generates evolution of paired position and momentum variables.
Tensors encode multilinear quantities with consistent transformation laws under coordinate changes.
Variational calculus studies extrema of functionals depending on functions.
A distribution acts linearly and continuously on test functions, allowing generalized derivatives.
Stationarity of a smooth variational problem gives differential conditions with appropriate boundary constraints.
Explore fields and transforms; variational and spectral methods; symmetry and conservation. Concepts and connections are available independently of video coverage.