Table of Contents
Table of Contents
Acknowledgements
Foreword by Professor Krassimir T. Atanassov
Preface
Chapter 1. Introduction
Chapter 2. Fibonacci Numbers and Structure
Chapter 3. Fibonacci Numbers and Primes
Chapter 4. Fibonacci Numbers and the Golden Ratio Family
Chapter 5. Transcendental Numbers and Triangles
Chapter 6. Conclusion
Bibliography
Index of Key Words
Brief Biographies of Authors
Keywords: Integer structure, modular rings, Fibonacci numbers, golden ratio family, generalized Binet formulas, Pascal Fibonacci numbers, prime sequences, right-end-digits, infinite series, powers, generalized integers, sums of squares, Horadam generalizations
This book has been prepared for
· teachers of mathematics at all levels for enrichment ideas,
· students of mathematics at the senior undergraduate level for project topics, and
· other lovers of mathematics who are fascinated by the ubiquitous Fibonacci numbers: ‘amateurs’ in the true sense of the word.