## 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.