Praise for the First Edition
" ...beautiful and well worth the reading ... with many exercises and a
good bibliography, this book will fascinate both students and teachers."
Mathematics Teacher
Fibonacci and Lucas Numbers with Applications, Volume I, Second
Edition provides a user-friendly and historical approach to the many
fascinating properties of Fibonacci and Lucas numbers, which have
intrigued amateurs and professionals for centuries. Offering an in-depth
study of the topic, this book includes exciting applications that
provide many opportunities to explore and experiment.
In addition, the book includes a historical survey of the development of
Fibonacci and Lucas numbers, with biographical sketches of important
figures in the field. Each chapter features a wealth of examples, as
well as numeric and theoretical exercises that avoid using extensive and
time-consuming proofs of theorems. The Second Edition offers new
opportunities to illustrate and expand on various problem-solving skills
and techniques. In addition, the book features:
- A clear, comprehensive introduction to one of the most fascinating
topics in mathematics, including links to graph theory, matrices,
geometry, the stock market, and the Golden Ratio
- Abundant examples, exercises, and properties throughout, with a wide
range of difficulty and sophistication
- Numeric puzzles based on Fibonacci numbers, as well as popular
geometric paradoxes, and a glossary of symbols and fundamental
properties from the theory of numbers
- A wide range of applications in many disciplines, including
architecture, biology, chemistry, electrical engineering, physics,
physiology, and neurophysiology
The Second Edition is appropriate for upper-undergraduate and
graduate-level courses on the history of mathematics, combinatorics, and
number theory. The book is also a valuable resource for undergraduate
research courses, independent study projects, and senior/graduate
theses, as well as a useful resource for computer scientists,
physicists, biologists, and electrical engineers.
Thomas Koshy, PhD, is Professor Emeritus of Mathematics at
Framingham State University in Massachusetts and author of several books
and numerous articles on mathematics. His work has been recognized by
the Association of American Publishers, and he has received many awards,
including the Distinguished Faculty of the Year. Dr. Koshy received his
PhD in Algebraic Coding Theory from Boston University.
"Anyone who loves mathematical puzzles, number theory, and Fibonacci
numbers will treasure this book. Dr. Koshy has compiled Fibonacci lore
from diverse sources into one understandable and intriguing volume,
[interweaving] a historical flavor into an array of applications."
Marjorie Bicknell-Johnson
