"Mathematics in Industry" - since the volume containing the proceedings of the 1985 Oberwolfach conference was published*), this subject has become more fashionable in Europe, America and also in the third world. The Europeans have come closer to each other: They formed a European Consortium for Mathematics in Industry, abbreviated ECMI. This ECMI supported mainly by mathematicians from Amsterdam, Bari, Eindhoven, Firenze, Kaiserslautem, Limerick, Linz, Paris, Oxford and Trondheim has become a legal entity with a rapidly growing number of members. It has organized a common, really European postgraduate programme, establishes contact between industry and universities and organizes other confer­ ences everywhere in the world. Industrial mathematics is a special method to get interesting problems; a special attitude of curiosity for technical or economical questions; a general rather broad knowledge in all branches of mathematics; but it always remains real mathematics. Our first proceedings contained many articles about "why and how to start". Now we are more selfconfident about our ideas: These proceedings include only exam­ ples of "how to do". It is a pleasure to see how many different kinds of good mathematics are applied to so many different problems from industry. Part of the selection criteria for this volume was that some of the applications of what is usually considered ivory tower mathematics be represented.

Map Dynamics in Gearbox Models.- On an Off-Shore Pipe Laying Problem.- Mathematische Probleme des rechnergestützten Entwurfs höchstintegrierter Schaltungen.- Stability Problems in Offshore Installation Operations.- Identification of Deterministic Nonlinear Dynamical Systems.- to Nilpotent Approximation Filtering.- Dynamics of "Slurries".- Practical Applications of the Notions of Propagation of Singularities.- Complex Variables in Industrial Mathematics.- Mosfet Modelling.- Reaction-Diffusion Models for the Spread of a Class of Infectious Diseases.- Numerical Solution of Pipeline System Problems by Monotone Difference Approximations.- Dynamic Model of a Metallurgical Shaft Reactor with Irreversible Chemical Kinetics and Moving Lower Boundary.- Wave Induced Washout of Submerged Vegetation in Shallow Irish Lakes.- Approximate Conversion of Spline Curves.- Interpolation Algorithms for the Control of a Sewing Machine.- The Development of a Mechanical Model for a Tire: A 15 Year Story to Replace Test Machines.- Steady State Simulation of Chemical Plants - Flowsheeting.- A Scheduling Problem in the Production Line "Steel Making - Continuous Casting - Hot Rolling".- A Reference Model for Laser Opto-Electronics, Digital Signal Processing, and Holography.- Application of the Projected Radon Transform in Picture Processing.