Applied mathematics connects the mathematical theory to the reality by solving real world problems and shows the power of the science of mathematics, greatly improving our lives. Therefore it plays a very active and central role in the scientific world.This volume contains 14 high quality survey articles — incorporating original results and describing the main research activities of contemporary applied mathematics — written by top people in the field. The articles have been written in review style, so that the researcher can have a quick and thorough view of what is happening in the main subfields of applied mathematics.

These proceedings consist of plenary rapporteur talks covering topics of major interest to the high energy physics community and parallel sessions papers which describe recent research results and future plans.

"Physics at KAON", an international meeting jointly organized by the KFA Jillich and TRI UMF, was held in the Physikzentrum Bad Honnef from June 7 through June 9, 1989. This was one of a series of meetings - the first one in Europe - in which plans for the medium energy physics laboratory KAON were presented and some aspects of the physics at this new facility were discussed. The meeting focussed mainly on the topics of hadron spectroscopy, J{ -meson scattering, strangeness in nuclei, and rare decays. Also presented were some of the research programs at SATURNE and COSY which may well lead to KAON physics in the future. These proceed ings include articles which summarize our current experimental and theoretical knowledge in the various areas, as well as papers which describe lines of research feasible with KAON. The large number of participants - limited, in fact, by the capacity of the Physikzentrum - clearly demonstrates the great interest of the European physics community in the research avenues which will be opened by the high-intensity hadron facilities. March 1990 D. Frekers, D.R. Gill, J. Speth Contents Opening remarks By E. Vogt ...................................................... Sl The TRIUMF kaon factory accelerators By M.K. Craddock ................................................ S3 Experimental facilities By P. Kitching ................................................... S9 Polarized internal targets at KAON By C.A. Miller ................................................... S21 Hyperons in the bound state approach to the Skyrme model.