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The collection consists primarily of a long series of research notebooks beginning in 1938 and running through to the early 1970s. Additionally, there are some student notes and notes of G. H. Hardy's lectures, which complement those of Bosanquet's brother-in-law E. H. Linfoot.

Mathematical notes on differential geometry, with a small collection of nearly 100 tripos and examination questions dated c. 1884-1924 [A59-60] and 8 more dated 1889-1897 [A185].