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Eulero

Eulero is the Italian form of the surname of the Swiss-born mathematician Leonhard Euler (1707–1783). In Italian-language contexts, he is typically known as Ludovico Eulero. Euler is celebrated as one of the most productive and influential figures in the history of mathematics, with work spanning analysis, geometry, number theory, topology, mechanics, and astronomy.

His contributions include the introduction and development of many foundational ideas and notations. He formulated Euler's

In graph theory, Euler solved the Königsberg bridge problem and introduced the concepts of Eulerian paths and

Born in Basel, Euler spent much of his career in Saint Petersburg and Berlin, teaching at the

formula,
e^(iθ)
=
cos
θ
+
i
sin
θ,
linking
complex
exponentials
to
trigonometry,
and
Euler's
identity
e^(iπ)
+
1
=
0.
He
popularized
the
use
of
the
letter
e
for
the
base
of
natural
logarithms
and
developed
extensive
analytic
methods,
culminating
in
texts
such
as
Introductio
in
analysin
infinitorum
and
Institutiones
Calculi
Differentialis.
circuits,
laying
early
groundwork
for
the
field.
He
also
defined
the
Euler
characteristic
χ
=
V
−
E
+
F
for
polyhedra
and
contributed
to
the
calculus
of
variations
and
numerical
methods,
including
what
is
now
known
as
Euler's
method
for
approximating
differential
equations.
Russian
Academy
of
Sciences
and
the
Prussian
Academy
of
Sciences.
His
enduring
legacy
includes
numerous
theorems,
techniques,
and
notations
that
shaped
modern
mathematics
and
its
applications.