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 later in the 19th century by the German mathematician Bernhard Riemann; here no parallel can be found and the angles in a triangle add up to more than 180°. Riemann also developed Riemannian geometry, which unifies and vastly generalizes the three types of geometry. The 19th century saw the beginning of a great deal of abstract algebra. Hermann Grassmann in Germany gave a first version of vector spaces, William Rowan Hamilton in Ireland developed noncommutative algebra. The British mathematician George Boole devised an algebra that soon evolved into what is now called Boolean algebra, in which the only numbers were