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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Green's functions
A Green's function is a kernel representing a linear operator's response to a point source with specified boundary conditions.
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Distributions as generalized functions
A distribution acts linearly and continuously on test functions, allowing generalized derivatives.
Fourier transform
A Fourier transform represents a suitable function through continuous frequency components.
Calculus of variations
Variational calculus studies extrema of functionals depending on functions.
Dimensional similarity
Dimensionless groups compare physical systems while respecting the dimensions of quantities.
Euler–Lagrange equations
Stationarity of a smooth variational problem gives differential conditions with appropriate boundary constraints.
Knowledge connections
- Fourier transform · Related · Map context
- Distributions as generalized functions · Related · Map context