Thomas John I’Anson Bromwich, who died on August 24, 1929, was one of the most accomplished and most versatile among English mathematicians of the last fifty years. He was born in Wolverhampton on February 8, 1875, but spent his youth in Natal, and was educated in Durban. He came to Cambridge, as a Pensioner of St. John’s College, in October, 1892. A brilliant career as an undergraduate ended when he was Senior Wrangler in 1895, in an exceptionally strong year which included also E. T. Whittaker and J. H. Grace- He obtained a Fellowship in 1897, but left Cambridge in 1902 to be Professor of Mathematics in Galway, returning in 1907 when appointed a permanent lecturer at St. John’s. He was also a University Lecturer from 1909 to 1926. He became a Fellow of the Royal Society in 1906 and a Doctor of Science in 1909. He was for many years a most enthusiastic and energetic member of the London Mathematical Society, of which he was Secretary from 1911 to 1919, and Vice-President in 1919 and 1920. He married in 1901, and leaves a widow and one son. Bromwich’s work covers so wide a field that it is hardly possible for any one person to deal with it competently. His later work in mathematical physics is discussed in Dr. Jeffrey’s notice in the ‘Journal of the London Mathematical Society,’ vol. 5, p. 220. Prof. H. W. Turnbull and Prof. A. E. H. Love have very kindly provided me with notes concerning Bromwich’s early work, in algebra and in applied mathematics respectively, and what I say about these subjects is very largley based on them.