A Mathematical Abecedarian Poem
A problem is to calculate the
Beta function at alpha = 1/2, where it is
Continuous, has a transcendental value and is
Divisible by Beta at 3/2.
Easy enough using
Familiar properties of this function.
Galois theory does not come into play nor do
Hilbert spaces and their special properties.
Jordan curves should be avoided. You might get sucked into a
Klein bottle and never get out.
Latin squares may befuddle you or
Manifolds on Lie groups.
Never try to understand
Ordinary differential equations without
Practice in Fourier analysis and knowledge of
Quaternion valued matrices.
Riemannian metrics are essential in talking about
Space that is very curvy.
Time and time again they are
Useful in describing unexpected worlds.
Vector spaces are helpful too
When defining one’s place in space.
Xeno did not know about them when he fashioned his paradox.
Yet it confused philosophers long ago. By the way, this poem has
Zero mathematical meaning.