Scottish education in the nineteenth century world. His students founded practical chemistry at Aberdeen soon after. William Thomson, 1st Baron Kelvin was appointed to the chair of natural philosophy at Glasgow aged only 22. His work included the mathematical analysis of electricity and formulation of the first and second laws of thermodynamics. By 1870 Kelvin and Rankine made Glasgow the leading centre of science and engineering education and investigation in Britain. At Edinburgh, major figures included David Brewster (1781–1868), who made contributions to the science of optics and to the development of photography. Fleeming Jenkin (1833–85) was the first professor of engineering at the university and
19th century in science a cube twice the volume of a given cube, nor to construct a square equal in area to a given circle. Mathematicians had vainly attempted to solve all of these problems since the time of the ancient Greeks. On the other hand, the limitation of three dimensions in geometry was surpassed in the 19th century through considerations of parameter space and hypercomplex numbers. In the later 19th century, Georg Cantor established the first foundations of set theory, which enabled the rigorous treatment of the notion of infinity and has become the common language of nearly all mathematics. Cantor's set theory,