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Adolf Kneser
Adolf
Kneser
was a
German mathematician
.
He was
born
in
Grüssow
,
Mecklenburg, Germany
and
died
in
Breslau, Germany
.
He is the
father of
the
mathematician
Hellmuth Kneser
and the
grandfather
of the mathematician
Martin Kneser
.
Kneser is known for the first
proof
of the
four-vertex theorem
that applied in general to non-convex
curves
.
Kneser's theorem on differential equations
is named after him, and provides
criteria
to
decide
whether
a
differential equation
is
oscillating
. He is also one of the namesakes of the
Tait-Kneser theorem
on
osculating
circles
.
Selected
publications
;
;