Do not worry about your difficulties in mathematics, I assure
you that mine are greater.
(Albert
Einstein, physicist).
We are servants rather than masters in mathematics.
(Charles
Hermite, mathematician).
In precisely built mathematical structures, mathematicians find
the same sort of beauty others find in enchanting pieces of music, or
in magnificent architecture. There is, however, one great difference
between the beauty of mathematical structures and that of great
art. Music by Mozart, for instance, impresses greatly even those who
do not know musical theory; the cathedral in Cologne overwhelms
spectators even if they know nothing about Christianity. The beauty in
mathematical structures, however, cannot be appreciated without
understanding of a group of numerical formulae that express laws of
logic. Only mathematicians can read "musical scores" containing many
numerical formulae, and play that "music" in their
hearts. Accordingly, I once believed that without numerical formulae,
I could never communicate the sweet melody played in my
heart. Stochastic differential equations, called "Ito Formula," are
currently in wide use for describing phenomena of random fluctuations
over time. When I first set forth stochastic differential equations,
however, my paper did not attract attention. It was over ten years
after my paper that other mathematicians began reading my "musical
scores" and playing my "music" with their "instruments." By developing
my "original musical scores" into more elaborate "music," these
researchers have contributed greatly to developing "Ito Formula."
(Kiyosi
Ito, mathematician).
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.
(Felix
Klein, mathematician).
It is impossible to be a mathematician without being a poet in
soul. (Sofia
Kovalevskaya, mathematician).
Mind that when we speak of scientific problems you are completely
free to tell me that I am mistaken, because we are equal in front of
science.
(Mauro Picone, professor of mathematical analysis in Rome,
answering to his student Ennio
De Giorgi).
In mathematics you don't understand things. You just get used to
them.
(J.
Von Neumann, mathematician).
It is true that a mathematician who is not also something of a poet
will never be a perfect mathematician.
(Karl
Weierstrass, mathematician).