1 child, Helen Joyce. Bachelor of Science, Kings College, University London, 1939. Master of Science, 1941, Doctor of Philosophy., 1943, Doctor of Science, 1961.
Honorary doctor Open University, England, 1994. Science officer Air Ministry, 1939-1946. Lecturer University Durham, England, 1946-1954, professor mathematics, 1965-1984, emeritus professor, since 1984.
Lecturer, reader University Liverpool, England, 1954-1965.