Goldbach’s conjecture is one of the best-known unsolved problems in mathematics.

The starting point for rigorous reasoning in mathematics is a system of axioms. An axiom is a statement that is assumed, without demonstration, to be (...)

Leonhard Euler revolutionised mathematics, greatly extending its boundaries. He was inexhaustible: no other mathematician has been so prolific

Mathematicians are an odd bunch. Isaac Newton was decidedly unpleasant, secretive and resentful while Carl Friedrich Gauss, according to several biogr(...)

Stormy weather:  Ophelia pictured as the storm was about to hit Ireland last year

The atmospheric temperature at a fixed spot may change in two ways. First, heat sources or sinks may increase or decrease the thermal energy; for exam(...)

Sanssouci Palace in Potsdam, Germany, now with its fountain

When Frederick the Great was crowned King of Prussia in 1740 he immediately revived the Berlin Academy of Sciences and invited scholars from throughou(...)

For the Paris problems, both banks of the Seine have seven bridges, an odd number. The two islands each have an even number of links. Thus, the left and right banks must be at the start and end of the route

Leonhard Euler, the outstanding Swiss mathematician, considered a problem known as The Seven Bridges of Königsberg. It involves a walk around the city(...)

A football and the geometric shape on which it is based, a truncated icosahedron with 20 hexagons and 12 pentagons

The highlight of the 13th and final book of Euclid’s Elements was the proof that there are just five “Platonic solids”. Recall that a regular polygon (...)