Herman Heine Goldstine was born in Chicago in 1913 to Jewish parents. He attended the University of Chicago, where he joined the Phi Beta Kappa fraternity, and graduated with a degree in Mathematics in 1933, a master's degree in 1934, and a PhD in 1936. For three years he was a research assistant under Gilbert Ames Bliss, an authority on the mathematical theory of external ballistics. In 1939 Goldstine began a teaching career at the University of Michigan, until the United States' entry into World War II, when he joined the U. S. Army. In 1941 he married Adele Katz, who was an ENIAC programmer and who wrote the technical description for ENIAC. He had a daughter and a son with Adele, who died in 1964. Two years later he married secondly Ellen Watson.