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This volume presents the Proceedings of the Tenth International Conference on Fibonacci Numbers and their Applications, held in June 2002 in Flagstaff, Arizona. It contains research papers on the Fibonacci Numbers and their generalizations. All papers were carefully refereed for content and originality. The authors represent eight different countries.This volume will be of interest to graduate students and research mathematicians, whose work involves number theory, combinatorics, algebraic number theory, finite geometry and special functions.