Contributions To Mathematics
Ernst Hellinger studied integral equations, the infinite system of equations, real functions and continued fractions. A type of integral which he introduced in his dissertation became known as "the Hellinger integral", used for defining the Hellinger distance. In addition, the Hilbert-Hellinger theory of forms in infinitely many variables profoundly influenced mathematical analysis.
Read more about this topic: Ernst Hellinger
Famous quotes containing the words contributions to and/or mathematics:
“The vast material displacements the machine has made in our physical environment are perhaps in the long run less important than its spiritual contributions to our culture.”
—Lewis Mumford (1895–1990)
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)