(Swiss mathematician and physicist, 1707-1783) and his beautiful and
extraordinary formula that links the 5 fundamental constants in
Mathematics, namely, e, the base of the natural logarithms, i,
the square root of -1, Pi, the ratio of the circumference of a
circle to its diameter, 1 and 0, together!
is a mathematical formula in complex analysis that
shows a deep relationship between the trigonometric
functions and the complex exponential function.
Euler's formula states that, for any real number x:
Euler's equation or
identity is a special case of the Euler'
(1809-1880, American mathematician, professor at Harvard) gave a
lecture proving "Euler's equation", and concluded:
"Gentlemen, that is
it is absolutely
we cannot understand
and we don't know
what it means.
But we have proved
and therefore we
know it must be the truth."
Changing Shape of Geometry. Celebrating a Century of Geometry
and Geometry Teaching. Edited on behalf of The Mathematical
Association UK by Chris Pritchard. Cambridge University Press,