This book contains 58 papers from among the 68 papers presented at the Fifth International Conference on Fibonacci Numbers and Their Applications which was held at the University of St. Andrews, St. Andrews, Fife, Scotland from July 20 to July 24, 1992. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its four predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 5, 1993 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U.S.A. Alwyn F. Horadam University of New England Armidale, N.S.W., Australia Andreas N. Philippou Government House Z50 Nicosia, Cyprus xxv THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Campbell, Colin M., Co-Chair Horadam, A.F. (Australia), Co-Chair Phillips, George M., Co-Chair Philippou, A.N. (Cyprus), Co-Chair Foster, Dorothy M.E. Ando, S. (Japan) McCabe, John H. Bergum, G.E. (U.S.A.) Filipponi, P. (Italy) O'Connor, John J.

Synopsis:

This volume contains a collection of papers presented at the Fifth International Conference on Fibonacci Numbers and their Applications. The topics covered include number patterns, linear recurrences, and the application of the Fibonacci Numbers to probability, statistics, differential equations, cryptography, computer science and elementary number theory. Many of the papers included contain suggestions for other avenues of research. The contents of this volume attest to a growing interest in, and importance of, the pure and applied aspects of Fibonacci Numbers in many different areas of science of engineering. The proceedings of the four previously held conferences have also been published by Kluwer. This book is for those interested in application of number theory, statistics and probability, and numerical analysis in science and engineering.

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