Collection comprising three manuscript notebooks of theoretical problems relating to mechanics compiled by James Clerk Maxwell mainly during his employment at King's College London, including exam questions on aspects of mechanics and geometry, 1860-1865; problems on the collision of elastic spheres and the dynamic relation between other solid bodies; the refraction of light; the relationship between heat and volume in materials; attraction between particles, 1860-1873; notes on the works of leading authorities on mathematics and physics including Arthur Cayley, Franz Neumann and Siméon Poisson, 1867-1873; bibliography of textbooks mainly on mechanics, [1860-1865]; list of scientific instrument suppliers, [1860-1865]; outline of the contents of Maxwell's Treatise on electricity and magnetism (1873).

Papers of Hudson comprising 'Angle Generator for use in the study of trigonometry' by W B Bushell, 1873; a letter from H Orfleur concerning surfaces, with photograph of geometrical model attached, 1898; invitation to Hudson from Principal Henry Wace to the Medical Department Prize Distribution, with geometrical drawing on the reverse; mathematical model (quadratic surface: ellipsoid).

Papers of Professor Albrecht Fröhlich,1916-2001, reflecting his mathematical research, publications and correspondence with colleagues. Papers are divided into six sections comprising biographical papers; research papers; publications; papers relating to visits, conferences and lectures; correspondence and theses and examinations.

Biographical papers include obituaries, memoirs and papers relating to memorials including a service in the Chapel of Robinson College Cambridge, 10 Feb 2002; autobiographical papers including copy of Fröhlich's entry for Personal Records of Fellows of the Royal Society; papers relating to Fröhlich's career, honours and awards including his Ph.D. thesis 'On some topics in the theory of representation of groups and in class field theory', and correspondence and papers relating to his university appointments and some of his principal honours, including election to the Fellowship of the Royal Society.Research papers chiefly comprise mathematical workings, notes and drafts: notably relating to work on the decomposition of primes [1950] and work on Galois module theory and Gauss sums.

Publications comprise published material by Fröhlich,1950-2000, drafts and unpublished drafts, including work with Charles Terence Clegg Wall on Brauer groups, 'Galois modules and the functional equation', and draft of a longer text entitled 'mathematical theory of ostensive and consequently of empirical predicates'.

Visits, conferences and lectures include papers relating to Fröhlich's conference attendance and overseas visits 1956-1998, documentation of his participation in mathematics meetings held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany and papers relating to Visiting Professorships, including invitations, programmes, and texts or abstracts of lectures.

Correspondence,1950-2000, on subjects including progress of Fröhlich's research, discussions of problems with mathematical workings and drafts of papers. Notable correspondents include Fröhlich's Ph.D. supervisor Hans Arnold Heilbronn, colleagues Jean-Pierre Serre, Olga Taussky-Todd, Stephen Virgil Ullom and Charles Terence Clegg Wall, and former research students Colin J. Bushnell, Martin J. Taylor and Stephen Mark Johnson Wilson.

Theses and examinations comprise, theses of Ph.D. students supervised or examined by Fröhlich,including his research students at King's College London and examination papers, some with Fröhlich's manuscript calculations of answers, 1980-1990.