Editing History of science (section)

===Developments in mathematics===
In mathematics, the notion of complex numbers finally matured and led to a subsequent analytical theory; they also began the use of [[hypercomplex number]]s. [[Karl Weierstrass]] and others carried out the [[arithmetization of analysis]] for functions of [[Function of a real variable|real]] and [[complex variable]]s. It also saw rise to [[Non-Euclidean geometry|new progress in geometry]] beyond those classical theories of Euclid, after a period of nearly two thousand years. The mathematical science of logic likewise had revolutionary breakthroughs after a similarly long period of stagnation. But the most important step in science at this time were the ideas formulated by the creators of electrical science. Their work changed the face of physics and made possible for new technology to come about such as electric power, electrical telegraphy, the telephone, and radio.