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
General
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