Leonhard Euler (1707 - 1783) was a mathematician, physicist and economist. Born and educated in Switzerland, he worked as a professor of mathematics in Saint Petersburg, later in Berlin, and then returned to Saint Petersburg. He is considered to be the most prolific mathematician of all times. He dominated the eighteenth century and deduced many consequences of the then new calculus. He was blind for the last seventeen years of his live. |

Leonhard Euler (born April 15 1707 - died September 18 1783) was a mathematician, physicist and economist. Born and educated in Switzerland, he worked as a professor of mathematics in Saint Petersburg, later in Berlin, and then returned to Saint Petersburg. He is considered to be the most prolific mathematician of all times. He dominated the eighteenth century and deduced many consequences of the then new calculus. He was blind for the last seventeen years of his life. |

This is Euler's formula, which establishes the central role of the exponential function. In essence, all functions studied in elementary analysis are either variations of the exponential function or they are polynomials. |

This is Euler's formula, which establishes the central role of the exponential function. In essence, all functions studied in elementary analysis are either variations of the exponential function or they are polynomials. |

He defined the constant gamma?: |

In 1735, he defined the constant gamma? useful for differential equations: |

difficult integrals, sums and series. |

of difficult integrals, sums and series. |

His contribution to analysis, for example, came through his synthesis of Leibniz?'s differential calculus with Newton's method of fluxions. Euler wrote Tentamen novae theoriae musicae in 1739 which was an attempt to combine mathematics and music, a comment in a biography of Euler regarding it was that the work was for musicians too advanced in its mathematics and for mathematicians too musical. |

In geometry and [algebraic topology]?, there is a relationship is called Euler's Formula which relates the number of edges, vertices, and faces of a convex solid with planar faces and no holes. (i.e. not toroidal). Given such a polyhedron, the sum of the vertices and the faces is always the number of edges plus two ie:(V + F = 2 + E). |