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Thomas Koshy

Fibonacci and Lucas Numbers with Applications

by Thomas Koshy (Author) Format: Hardcover

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The first comprehensive survey of mathematics' most fascinating number sequences
Fibonacci and Lucas numbers have intrigued amateur and professional mathematicians for centuries. This volume represents the first attempt to compile a definitive history and authoritative analysis of these famous integer sequences, complete with a wealth of exciting applications, enlightening examples, and fun exercises that offer numerous opportunities for exploration and experimentation.
The author has assembled a myriad of fascinating properties of both Fibonacci and Lucas numbers-as developed by a wide range of sources-and catalogued their applications in a multitude of widely varied disciplines such as art, stock market investing, engineering, and neurophysiology. Most of the engaging and delightful material here is easily accessible to college and even high school students, though advanced material is included to challenge more sophisticated Fibonacci enthusiasts. A historical survey of the development of Fibonacci and Lucas numbers, biographical sketches of intriguing personalities involved in developing the subject, and illustrative examples round out this thorough and amusing survey. Most chapters conclude with numeric and theoretical exercises that do not rely on long and tedious proofs of theorems. Highlights include:
* Balanced blend of theory and real-world applications
* Excellent reference material for student reports and projects
* User-friendly, informal, and entertaining writing style
* Historical interjections and short biographies that add a richer perspective to the topic
* Reference sections providing important symbols, problem solutions, and fundamental properties from the theory of numbers and matrices
Fibonacci and Lucas Numbers with Applications provides mathematicians with a wealth of reference material in one convenient volume and presents an in-depth and entertaining resource for enthusiasts at every level and from any background.

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ISBN-10

0471399698
ISBN-13

978-0471399698
Edition

1st
Publisher

Wiley-Interscience
Publication date

August 10, 2001
Language

English
Dimensions

6.26 x 1.4 x 9.45 inches
Print length

648 pages

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There is a newer edition of this item:

Fibonacci and Lucas Numbers with Applications, Volume 1 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
$133.95
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Editorial Reviews

Review

"...a 'must' for fans of Fibonacci..." (Translated from French, Bulletin AMQ, October 2005)

"...presents a look at the numerous applications of Fibonacci and Lucas numbers in a range of disciplines." (SciTech Book News, Vol. 25, No. 4, December 2001)

"...presents the history, mathematics, and applications of the Fibonacci and Lucas sequences...An important feature of the book is the many...exercises..." (Mathematical Reviews, 2002f)

"...beautiful and well worth the reading...with many exercises and a good bibliography, this book will fascinate both students and teachers." (Mathematics Teacher, Vol. 95, No. 5, May 2002)

"A delightful romp through all things Fibonacci." (American Mathematical Monthly, January 2003)

"...a delightful book which should prove of great value...the most comprehensive collection of results, theorems, and references regarding Fibonacci numbers and their applications to date..." (The Fibonacci Quarterly, February 2002)

"...a splendid compendium of everything that most of us will ever need to know about the Fibonacci and Lucas numbers...an invaluable reference for experts and non-experts alike..." (The Mathematical Gazette)

"...a definitive history and authoritative analysis ...a myriad of fascinating properties of both Fibonacci and Lucas numbers..." (Mathematical Didactics, 2003)

Review

[Koshy's] book is without doubt the most comprehensive and scholarly work on Fibonacci numbers to date and I am sure that it will quickly signal its presence and impose itself as an authoritative reference manual on Fibonacci numbers.
--Napoleon Gauthier, Royal Military College of Canada, Kingston, ON

What a gem this is! [...] My only regrest about the book is that it wasn't around years ago. It fills such a void.
--Monte Zerger, Adams State College, Alamosa, CO

From the Publisher

What a gem this is! [...] My only regrest about the book is that it wasn't around years ago. It fills such a void. (Monte Zerger, Adams State College, Alamosa, CO)

From the Back Cover

The first comprehensive survey of mathematics' most fascinating number sequences

Fibonacci and Lucas numbers have intrigued amateur and professional mathematicians for centuries. This volume represents the first attempt to compile a definitive history and authoritative analysis of these famous integer sequences, complete with a wealth of exciting applications, enlightening examples, and fun exercises that offer numerous opportunities for exploration and experimentation.

The author has assembled a myriad of fascinating properties of both Fibonacci and Lucas numbers-as developed by a wide range of sources-and catalogued their applications in a multitude of widely varied disciplines such as art, stock market investing, engineering, and neurophysiology. Most of the engaging and delightful material here is easily accessible to college and even high school students, though advanced material is included to challenge more sophisticated Fibonacci enthusiasts. A historical survey of the development of Fibonacci and Lucas numbers, biographical sketches of intriguing personalities involved in developing the subject, and illustrative examples round out this thorough and amusing survey. Most chapters conclude with numeric and theoretical exercises that do not rely on long and tedious proofs of theorems. Highlights include:
* Balanced blend of theory and real-world applications
* Excellent reference material for student reports and projects
* User-friendly, informal, and entertaining writing style
* Historical interjections and short biographies that add a richer perspective to the topic
* Reference sections providing important symbols, problem solutions, and fundamental properties from the theory of numbers and matrices
Fibonacci and Lucas Numbers with Applications provides mathematicians with a wealth of reference material in one convenient volume and presents an in-depth and entertaining resource for enthusiasts at every level and from any background.

About the Author

THOMAS KOSHY, Ph.D., is Professor of Mathematics at Framingham State College in Framingham, Massachusetts. He is the author of the forthcoming book Elementary Number Theory with Applications, among several other books, as well as numerous articles across a wide range of topics.

Publisher ‏ : ‎ Wiley-Interscience
Publication date ‏ : ‎ August 10, 2001
Edition ‏ : ‎ 1st
Language ‏ : ‎ English
Print length ‏ : ‎ 648 pages
ISBN-10 ‏ : ‎ 0471399698
ISBN-13 ‏ : ‎ 978-0471399698
Item Weight ‏ : ‎ 2.53 pounds
Dimensions ‏ : ‎ 6.26 x 1.4 x 9.45 inches
Best Sellers Rank: #5,770,207 in Books (See Top 100 in Books)
- #1,215 in Number Theory (Books)
- #2,110 in Mathematics History
- #29,166 in Mathematics (Books)
Customer Reviews:
(5)

About the author

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Thomas Koshy

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Thomas Koshy is an educator, school leader, and founder of BeyondBell — a community built to empower school leaders with AI-enabled tools for operational excellence. He began his career in the IT industry before moving into school administration, bringing a systems mindset to the way schools are run. His years managing schools shaped the practical, no-nonsense approach that runs through every page of this book. Thomas believes that every principal deserves better systems than they inherit — and wrote this book to make sure they have them.