This publication reports the proceedings of a one-day seminar on The AppZicatian af Mathematics in Industry held at the Australian National University on Wednesday, December 3, 1980. It was organized jointly by the Division of Mathematics and Statistics, CSIRO, and the Departments of Pure and Applied Mathematics, The Faculty of Science, Australian National University. A paper based on the talk "Some uses of statistically designed experiments in industrial problems" given by N.B. Carter at the Seminar was not received by the editors. Though R.M. Lewis of John Lysaght (Australia) Limited did not present a talk, the editors invited him to submit a paper. They only learnt about his work after the program for the seminar had been finalized and publicized. His paper appears as the last paper in these proceedings and is entitled "A simple model for coil interior temperature prediction during batch annealing". The seminar was opened by Dr J.R. Philip, FAA, FRS, Director of the Physical Sciences Institute, CSIRO. He kindly agreed to supply an edited version of his comments for inclusion in the proceedings. They follow the Foreword as Opening Remarks.