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FOREWORDThe years since World War II have been marked by tremendous scientific advances. Many challenging new fields of research and application have become available to scientists and engineers.The tools of yesteryear, while basic and sound, are becoming inadequate in many respects. New mathematical tools are urgently needed to keep up with the advancing frontiers of science. Many are being tried, some with great success, some with insignificant results. One of these tools is the Adaptive Control System. The many questions that are being raised in relation to the Adaptive Control System indicate a great interest and hope for this approach. They also indicate a widespread lack of understanding as to what it is, how it can be used and how it is different. These are some of the questions we hope have been answered, at least in part, by the Symposium.I would like to express my appreciation to each of the members of the Symposium committees for their untiring efforts to make this Symposium a success, to the strong support received from the Executive Board of the Long Island Section of the I.R.E. and from the co-sponsoring organizations, the excellent publicity coverage by the Long Island "Pulse" under the guidance of Herbert Kulik, the advice and assistance of Professor John Truxal of the Polytechnic Institute of Brooklyn and the banquet address by Hon. Cortland D. Perkins, Assistant Secretary of the Air Force and Head of the Department of Aeronautics of Princeton University.F. P. Caruthers Symposium Chairman