As a classical analyst, Macintyre considered a diversity of problems, throughout many of which, however, runs a strong thread, viz., his keen interest in overconvergence. Amongst his 43 papers, often grown from seed sown in his Ph.D. thesis, one finds such topics as asymptotic paths, the flat regions of meromorphic functions, interpolation problems based on the Laplace transform and other formulae for regular functions, Tauberian theorems in connection with certain canonical products, and numerous problems, many published jointly with R Wilson, in the theory of the singularities of $f (z) = \sum c_{n} z^{n}$ on the circle of convergence.

The author is considerably indebted to Dr E F Collingwood for assistance in the preparation of the manuscript and for improvements in the argument ...

I wish to express my gratitude to Dr A J Macintyre for suggesting the problems treated in this paper, and for his advice and criticism throughout the work.

During my thirteen-year association with him at King's College, Aberdeen, Scotland, I naturally came to know him well, and to admire his many fine attributes. His good nature and kindness, his subtle but delightful sense of humour, the patience with which he explained mathematical problems to those less quick than he to see the point, the facility with which he was able to imbue his students with the feeling that mathematics was a living and growing subject and not a defunct language of invariable symbols, his encyclopaedic knowledge of mathematical research papers especially in the various branches of mathematical analysis - all these were highly impressive and go some way towards explaining not only the high esteem and popularity accorded to him, by both staff and students wherever he went, but also his power of attracting research students to work under his inspiring supervision. Another aspect of his character that impinged itself early on his mathematical friends, especially on his research collaborators, was his high standard - he simply would not countenance publication unless, and until, the proposed article was of first-class quality as regards both content and exposition. However, what impressed me most of all about him as a mathematician was his humility. He told me once that he did not regard himself as an original thinker, but merely as one who could sometimes push further ahead with the ideas and methods of others. All who have worked in the field of analysis will surely agree that such an opinion of his work does him less than justice, and I have no doubt that many of us would be only too happy to produce work of his quality.

He was also deeply interested in aerodynamics, fluid mechanics and related fields. He believed, for example, that aeroplanes should have their control surfaces - rudder and elevator - located at the front and not at the back. He conducted with great enthusiasm his experiments with model planes, and corresponded widely with experts on these matters, steadfastly refusing to accept their views unless soundly backed by evidence, at the same time being himself able to answer their objections to his revolutionary ideas. He was awarded a Caird Senior Scholarship in Aeronautics for 1943-44, and a D.S.I.R. grant from 1946-49 for special research on the Lanchester Vortex.