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.

Correspondence and reports relating principally to medical research (tuberculosis, cancer, lymphatic system, pernicious anemia), writings and publications. There is material of note on the following organizations: American Association of Anatomists, American Association of University Women, American Woman's Association, Henry Strong Denison Medical Foundation, John Simon Guggenheim Memorial Foundation (re. fellowships), Hall of Fame for Great Americans, Institute for Advanced Study, Johns Hopkins School of Medicine, Medical Aid to China, Medical Aid to Spain, Naples Table Association (this existed to promote laboratory research by women); National Academy of Sciences, National Tuberculosis Association, Peking Union Medical College, Rockefeller Institute, Ellen Richards Prize (awarded by the Association to Aid Scientific Research by Women), Society for Experimental Biology and Medicine, University in Exile (i.e. New School for Social Research), White House Conference on Child Health and Protection, and the World Center for Women's Archives. There are abstracts and notes of unpublished scientific papers, and also materials for her biography of Franklin Paine Mall, 1934.