Courant was born March 26, 1920, in Göttingen, Germany, the first of four children of Richard Courant and Nerina Runge Courant, a year after their marriage.[7]
He wrote that he "came by science naturally".[8] His mother's father, Carl Runge, is credited with the Runge-Kutta method for numerical solutions of differential equations. A maternal great-grandfather (Runge's father-in-law ) was Emil DuBois-Reymond, a pioneer in electrophysiology. Affinity for science and mathematics extended further than his biological family. Ernest Courant's childhood neighbors included the mathematician David Hilbert (his father's thesis director, in whose honor Ernest received the middle name of David) and the physicists Max Born and James Franck. Further, his father's students and colleagues became friends of the family, and often visited.
Ernest's early interests centered on chemistry. "I had a lab at home full of test tubes, Bunsen burners, and chemicals. Once there was a small fire (easily put out), but I got a sense of how things were put together."[8]
Adolf Hitler came to power in 1933, and the neighborhood and its intellectual society were disrupted—along with the mathematics department at the University. Ernest's father had been born to a Jewish family of small businessmen, and he was now identified as a Jew, and an undesirable, by the new regime.[9] Expelled from his position at the University of Göttingen, Richard Courant took a temporary teaching position in England, and the family abandoned Göttingen in favor of Cambridge for a few months. Forewarned by a Nazi acquaintance that the anti-Semitic storm would not settle but intensify, the family made plans to emigrate permanently. They returned only briefly to Germany before embarking to New York City, where his father had secured a post at New York University—and immigration visas to the US. Ernest became an American citizen in 1940.
Fluent in English from both early lessons and the recent period enrolled at the Perse School in Cambridge, Ernest was accepted at the Fieldston School of the School for Ethical Culture, with a scholarship, thanks to intervention by family friend (and Fieldston alumnus), J. Robert Oppenheimer.