Professor Guttmann is widely recognised internationally for his outstanding contributions to Computational Applied Mathematics. He is a major authority on the generation and analysis of power series expansions with applications in many areas of Science including statistical mechanics, enumerative combinatorics, fluid mechanics and polymer chemistry. He has developed new and irmovative algorithms and methods for the generation and analysis of series expansions that are now recognised as the 'industry standard'. He has recently made a major contribution to the study of the two-dimensional Ising model susceptibility in which the scaling structure has for the first time been convincingly revealed.