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Euler's equation. That conservation laws follow from deeper symmetry principles (Noether's theorem). Symmetry under translation corresponds to conservation of
by ashu 19y ago
Euler's equation.
That conservation laws follow from deeper symmetry principles (Noether's theorem). Symmetry under translation corresponds to conservation of momentum, symmetry under rotation to conservation of angular momentum, symmetry in time to conservation of energy!
http://mathworld.wolfram.com/NoethersSymmetryTheorem.html http://mathworld.wolfram.com/NoethersSymmetryTheorem.html
- tel 19y agoThis has to do with the context where I learned Euler's Equation, but I can never separate it from Fourier and (later) Laplace transforms. Those are all so beautiful and mind blowing.
- maximilian 19y agoI'll second that Fourier transform. The idea that you could represent basically a list of numbers with a sum of sines, or any other orthonormal set is mindblowing to me. Nothing in math has blown my mind as much as functional analysis.
- tel 19y agoAddendum after the edit period: Wavelet transforms also go on this list.