The text contains a collection of essays to provide a background of factual information concerning the mathematical sciences in undergraduate education. It is intended for the nonmathematical scientist and the scientifically oriented layman. Contents include: (1) recommendations with regard to increasing the available faculty, strengthening the present faculties, improving the quality of undergraduate education, improving facilities and conditions of work, and problems of the underdeveloped colleges; (2) eight case histories of recent developments in mathematics education at specific institutions; (3) analyses of needs of clients of mathematics departments; (4) data on problems of staffing; and (5) special areas of concern such as problems of isolation, women in the mathematical sciences, the underdeveloped institutions, the changing background of the entering student, and promoting creativity in undergraduates. (Author/JG)