Engineers and mathematicians from European corporations and universities trade problems and solution techniques in creating mathematical models of the influence of road conditions on the behavior of vehicles (by which they mean automobiles). A dozen papers, reproduced from typescripts of varying rea

Industrial Mathematics is a relatively recent discipline. It is concerned primarily with transforming technical, organizational and economic problems posed by indus try into mathematical problems; "solving" these problems byapproximative methods of analytical and/or numerical nature; and finally reinterpreting the results in terms of the original problems. In short, industrial mathematics is modelling and scientific computing of industrial problems. Industrial mathematicians are bridge-builders: they build bridges from the field of mathematics to the practical world; to do that they need to know about both sides, the problems from the companies and ideas and methods from mathematics. As mathematicians, they have to be generalists. If you enter the world of indus try, you never know which kind of problems you will encounter, and which kind of mathematical concepts and methods you will need to solve them. Hence, to be a good "industrial mathematician" you need to know a good deal of mathematics as well as ideas already common in engineering and modern mathematics with tremen dous potential for application. Mathematical concepts like wavelets, pseudorandom numbers, inverse problems, multigrid etc., introduced during the last 20 years have recently started entering the world of real applications. Industrial mathematics consists of modelling, discretization, analysis and visu alization. To make a good model, to transform the industrial problem into a math ematical one such that you can trust the prediction of the model is no easy task."

"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."

Dieses Lehr- und Arbeitsbuch bietet dem Studienanfanger aus Physik und Ingenieurwissenschaften, der Praxis im Umgang mit der Mathematik erwerben mochte, durch Darstellung und didaktische Gestaltung wertvolle Hilfestellung bei der Erarbeitung mathematischen Grundwissens. Die Gestaltung des Textes, die den Leser immer wieder anregt, Gedankenschritte selbst zu vollziehen, weiterzufuhren, Verbindungen herzustellen, Rechnungen nachzuvollziehen und die eigenen Kenntnisse zu uberprufen, bietet hier grosstmogliche Unterstutzung.
Immer wieder werden anwendungsbezogene Beispiele gegeben und ausfuhrlich bearbeitet. Definitionen und Satze sind vollstandig formuliert. Beweise werden nur da weggelassen, wo sie weder dem Verstandnis des Satzes noch dem Einuben bestimmter Schlussweisen oder Begriffe dienen. Bei der Bearbeitung der ca. 250 Aufgaben wird dem Studenten eine gestufte Hilfestellung in Form von Losungshinweisen und der kompletten Losung gegeben."