Rosenhead matriculated from Leeds High School and went to the
University of Leeds to study medicine, but after four weeks changed his studies to mathematics. His decision was influenced by
Selig Brodetsky. Rosenhead graduated with first class honours in 1926, and continuing, eventually to attain a
Ph.D. in 1928, studying under Brodetsky. He then earned another Ph.D. at
St John's College, Cambridge, studying under
Harold Jeffreys. This was followed by spending the academic year 1930-31 in
Göttingen where
Ludwig Prandtl was active. Rosenhead spent time there along with
Sydney Goldstein and
H. B. Squire, all working on theoretical fluid mechanics. ==Career==