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The Silver Anniversary of the Conferences of Army Mathematicians was conducted on the dates 6-8 June 1979. The U.S. Army Ballistic Research Laboratory and the Johns Hopkins University served as its hosts. It was held on the Homewood Campus of the Johns Hopkins University in Baltimore, Maryland. 'Continuum Mechanics' was the theme selected for the Silver Jubilee. To celebrate this occasion the number of guest speakers were increased, and those individuals who were invited to talk were selected because they are effective researchers who are in the frontiers of their fields. Another important reason for their appearance on the program is that they are interested in current and envisioned U.S. Army materiel research and development problems. As in previous conferences there were a large number of papers contributed by Army scientists. These, on the whole, addressed problems of immediate interst to scientists in the various Army laboratories.