Correspondence, notebooks, reports, legal documents, contracts, research data, publications, all of which relate to Goldstine's professional contributions as a professor of mathematics at the University of Chicago, 1936-1939 and University of Michigan, 1939-1950; United States Army, Lieutenant Colonel in charge of the governement development of the ENIAC and EDVAC computers, 1941-1945; Institute for Advanced Study, Assistant Project Director for electronic computer project, 1946-1958; International Business Machines Corporation: Director of Mathematical Sciences, Research 1958-1960; Director Mathematical Sciences Department, IBM Research, 1960-1965; Director of Scientific Development, Data Processing Division, 1965-1967; Consultant to Director of Research, 1967-1969; IBM Fellow, 1969-1984; American Philosophical Society, Executive Officer, 1984-1997. Dr. Goldstine's contributions to the development of the computer are documented in the collection, especially in relation to his work with John von Neumann.