Joel S. Silverberg ’63, ’70 ScM, ’76 PhD,

Joel S. Silverberg ’63, ’70 ScM, ’76 PhD, of Providence; Aug. 11, of lymphoma. After earning degrees in music, electrical engineering, and biomedical engineering, he received a postdoctoral certificate from the Institute for Retraining in Computer Science and held faculty positions at Vassar College, Boston University, Roger Williams University, and Brown. In retirement he pursued his long-standing fascination for navigational mathematics and the practical mathematics of the 17th and 18th centuries, writing several papers and conference presentations. He enjoyed singing and playing several instruments. He was an avid sailor and liked birding. He is survived by his wife, Patricia Brennan ’75; a daughter; a sister; and a niece and nephew.