## Blackbody Thermodynamics

Blackbody radiation as an application of the foundation of thermodynamics

Read moreBlackbody radiation as an application of the foundation of thermodynamics

Read moreI want to show some simple heuristic calculations which show how monad rules stem from a functor adjunction.

Suppose we have some sort of duality product, and some "operators" \(A\) and \(A^*\).

Adjunctions means that \[ \langle y , A x \rangle \equiv \langle A^* y , x \rangle \]

We assume …

Read moreA natural derivation of the entropy from maximum likelihood.

Read moreThe fundamental mathematical ideas behind thermodynamics

Read moreSome notes on the elementary properties of the exponential families

Read moreA proof of the divergence of the harmonic series with the Coq proof assistant.

Read moreA companion matrix is a matrix with a prescribed characteristic polynomial. I would like to show them from a broader perspective: companion matrices are the matrix version of a shift operator.

Read moreMy goal is to derive Maxwell's equations of electromagnetism with almost no effort at all.
As often in mathematics, things look simpler when there is *less* structure.
Here, as in mechanics, we do not assume any prior metric, so the geometry of the space at hand is very simple.