WRITE A BRIEF TWO PAGE ASSIGNMENT ON BIOGRAPHY AND MATHEMATICAL WORKS OF EULER.
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Leonhard Euler (15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function.[3] He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory.
Euler is held to be one of the greatest mathematicians in history, and, most likely, the greatest of the 18th century. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all."[4][5] Carl Friedrich Gauss remarked: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it."[6] Euler is also widely considered to be the most prolific, his more than 850 publications are collected in 92 quarto volumes,[7] (including his Opera Omnia) more than anyone else in the field.[8] He spent most of his adult life in Saint Petersburg, Russia, and in Berlin, then the capital of Prussia.
Euler is credited for popularizing the Greek letter π (lowercase pi) to denote Archimedes' constant (the ratio of a circle's circumference to its diameter), as well as first employing the term f(x) to describe a function's y-axis, the letter i to express the imaginary unit equivalent to √-1, and the Greek letter Σ (uppercase sigma) to express summations. He gave the current definition of the constant e, the base of the natural logarithm, still known as Euler's number.[9] Euler was also responsible for the creation of the graph theory (partly as a solution for the Seven Bridges of Königsberg problem), a fundamental discipline of mathematics concerning the study of such abstract instrument. Parallely, he became famous – among others – for solving the Basel Problem, after proving that the summation of an infinite series of squared reciprocals equaled exactly, π 2/6 and for discovering that the sum of the edges and faces minus the vertexes equals 2, commonly known as the Euler characteristic. In the field of physics, Euler reformulated Newton's laws of physics into new laws in his two-volume work Mechanica to explain the motion of rigid bodies more easily. He also made substantial contributions to the study of elastic deformations of solid objects.
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