(Ed.: The publication of the remarks of the panelists at this CBMS session has been a tremendous undertaking. I would like to acknowledge cooperation of the following persons in preparing this report. First, we are indebted to Professor Albert Newhouse, Computer Science Department, The University of Houston, who fortuitously made a tape recording of this session. Since the official tape of this conference turned out blank, this informal tape was the only existing copy of what was discussed and what the panelists said at this meeting. From these tapes Professor Elliott Organick, also at the University of Houston, produced a handwritten copy which he made available to me. After typing and editing the comments of each panelist I forwarded the manu6cripts to each of the panelists asking them to edit and return them to me. In addition, I sent a copy of each of the panelists' remarks to Professor Joseph Traub who chaired this panel. Thus, I would like to thank each of the panelists for taking time from their busy schedules to edit their remarks and send them to me in order that I might publish them in this issue of the Bulletin. Thanks are also due Professor Traub for writing the introduction to what I think is a fascinating set of comments on the relationship of computer science to mathematics.)