Hello friends
Google pays tribute to Leonhard Euler on his 306th anniversary of his birth.
Leonhard Euler was born in Basel, Switzerland, Euler spent most of his
career in
St. Petersburg and Berlin. He joined the St. Petersburg Academy of Sciences
in 1727.
Euler's important contributions were so numerous that terms like
"Euler's formula" or "Euler's theorem" can mean many different things
depending on context. Just in mechanics, one has Euler angles (to specify
the orientation of a rigid body), Euler's theorem (that every rotation
has an axis), Euler's equations for motion of fluids, and the Euler-Lagrange
equation (that comes from calculus of variations). The "Euler's formula"
with which most American calculus students are familiar defines the
exponentials of imaginary numbers in terms of trigonometric functions.
But there is another "Euler's formula" that (to use the modern terminology
adopted long after Euler's death) gives the values of the Riemann zeta
function at positive even integers in terms of Bernoulli numbers. There are
both Euler numbers and Eulerian numbers, and they aren't the same thing.
Euler's study of the bridges of Königsberg can be seen as the
beginning of combinatorial topology.
