Leonhard Euler Research Paper

Leonhard Euler, a pioneering Swiss mathematician and physicist, was very successful in his life due to his discoveries in infinitesimal calculus and the graph theory. Preeminent mathematician of the eighteenth century, Leonhard Euler, has been believed to be one of the greatest mathematicians to ever live. Euler has been given recognition for introducing much of the modern mathematical terminology and notation, mostly for mathematical analysis, such as the notion of a mathematical function. His work in mechanics, fluid dynamics, astronomy, optics, and music theory have also contributed to him being well known. April 15, 1707 Leonhard Euler was born in Basel, Switzerland. He is the son of Paul Euler, a reformed church pastor, and Marguerite

Euler also decided to take an additional job as a medic in the Russian Navy. Euler swiftly rose through the ranks in the academy and was made professor of physics in 1731 after the death of Peter II. January 7, 1734 Leonhard married Katharina Gsell, daughter of a painter, Georg Gsell. The couple began their family in a house close to the Neva River. The Eulers had only five out of their thirteen children to survive. During Euler's mathematical career, his eyesight slowly deteriorated. Even though his eyesight slowly went away, Euler had many achievements. If all the works of Euler were printed onto a sheet of paper, it would take sixty to eighty quarto volumes. The Euler's number in calculus, and Euler's constant are named after him. Euler introduced the concept of a function and was the first to write f(x) to denote the function f applied to the argument x. The modern notation for trigonometric functions, the letter e for the base of the natural (Euler's number), the Greek letter Σ for summations and the letter i to denote the imaginary unit were introduced by Leonhard. The use of the Greek letter π to denote the ratio of a circle's circumference to its diameter was also popularized by Euler, but it did not originate from him. Euler proved the power series expansions for e and the inverse tangent function. In 1735, Euler solved the famous Basel Problem. He discovered