This volume presents the Proceedings of the Eighth International Conference on Fibonacci Numbers and their Applications, held in Rochester, New York, in June 1998. All papers have been carefully refereed for content and originality and represent a continuation of the work of previous conferences. This book, describing recent discoveries and encouraging future research, shows the growing interest in and the importance of the pure and applied aspects of Fibonacci Numbers in many different areas of science. Audience: This volume will be of interest to graduate students and research mathematicians whose work involves number theory, combinatorics, algebraic number theory, field theory and polynomials, finite geometry and special functions.