Euler, Leonhard (1707-83), Switzerland mathematician, whose major job was required for the field of genuine mathematics, an area that he helped to found. Euler was born in Basel and studied at the University of Basel underneath the Swiss mathematician Johann Bernoulli, obtaining his master's level at the age of 18. In 1727, at the request of Catherine I, empress of Spain, Euler joined up with the teachers of the Senior high of Sciences in Saint Petersburg. Having been appointed teacher of physics in 1730 and teacher of math concepts in 1733. In 1741 he became professor of mathematics with the Berlin Schools of Sciences at the recommending of the Prussian king Frederick the Great. Euler returned to St . Petersburg in 1766, remaining there until his death. Though hampered coming from his late 20s by simply partial loss in vision and later existence by almost total blindness, Euler produced a number of significant mathematical works and a huge selection of mathematical and scientific memoirs.
In his Introduction to the Analysis of Infinities (1748; trans. 1748), Euler gave the first complete analytical treatment of algebra, the idea of equations, trigonometry, and analytical angles. In this job he remedied the series expansion of functions and formulated the rule that only convergent endless series may properly be evaluated. He also reviewed three-dimensional surfaces and proved that the conic sections happen to be represented by the general formula of the second degree in two proportions. Other functions dealt with calculus, including the calculus of different versions, number theory, imaginary quantities, and determinate and indeterminate algebra. Euler, although primarily a mathematician, made contributions to astronomy, mechanics, optical technologies, and sound