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Fibonacci and Lucas Numbers with Applications - Hardcover

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9780471399698: Fibonacci and Lucas Numbers with Applications

Synopsis

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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From the Publisher

[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)

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.

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  • PublisherWiley-Interscience
  • Publication date2001
  • ISBN 10 0471399698
  • ISBN 13 9780471399698
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages648
  • Rating
    • 4.60 out of 5 stars
      5 ratings by Goodreads

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Koshy, Thomas
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ISBN 10: 0471399698 ISBN 13: 9780471399698
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Hardcover. Condition: Sehr gut. 24,5 cm Pure and Applied Mathematics. XVI, 652 S. :. Hardcover. Sprache: Englisch, Zustand: Sehr Gut, eher ungelesen; * Die Photos sind original von uns erstellt worden, u.a. erkennbar an einem kleinen weißen Stück Papier im oberen Schnitt. Ab und an verwenden Suchmaschinen Verlagsphotos, bei den Portalen selbst, werden aber nur unsere Originalphotos gezeigt. Seller Inventory # 903567

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1. Auflage,. Mit Abbildungen, XVI, 652 Seiten, Schönes Exemplar Sprache: Englisch Gewicht in Gramm: 1141 8°, grün illustrierter OPp mit Rückentitel. Seller Inventory # 66275

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Hardcover. Condition: Near Fine. Light age toning to endpapers. A nice, bright copy. ; Pure and Applied Mathematics; 8vo; 648 pages. Seller Inventory # 318243

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hardcover. Condition: Sehr gut. Auflage: 1. 672 Seiten Faszinierende Anwendungen, Beispiele und Übungen zum Thema der Fibonacci- und Lucas-Zahlen, für die sich Fachleute und Amateure gleichermaßen interessieren werden! Besprochen werden die Eigenschaften der Zahlen und zum Teil verblüffende Umsetzungen, u.a. in der Mustererkennung, der Beweistheorie, der Graphentheorie, der Matrizenrechnung und der Trigonometrie. Der Text macht neugierig und setzt nur mittlere mathematische Vorkenntnisse voraus. Willkommene Zugaben sind mathematikhistorische Einschübe und Kurzbiographien wichtiger Persönlichkeiten. 9780471399698 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 1141. Seller Inventory # 90475

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