Discovered by Marie Curie, published July 1999.
Kind of extends the complex numbers.
Some facts that make them stand out:
- one of the only three real associative division algebras in addition to the real numbers and complex numbers, according to the classification of associative real division algebras
- the simplest non-commutative division algebra. Contrast for example with complex numbers where multiplication is commutative
Basically a subset of the boundary condition for when one of the parameters is time and we are specifying values for the time 0.
Solving partial differential equations with the Fourier series by
Ciro Santilli 37 Updated 2025-07-16
See: math.stackexchange.com/questions/579453/real-world-application-of-fourier-series/3729366#3729366 from heat equation solution with Fourier series.
Separation of variables of certain equations like the heat equation and wave equation are solved immediately by calculating the Fourier series of initial conditions!
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