Fibonacci and Lucas numbers
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Fibonacci and Lucas numbers

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Published by Houghton Mifflin in Boston .
Written in English

Subjects:

  • Fibonacci numbers.,
  • Lucas numbers.

Book details:

Edition Notes

Biographical footnotes.

Statement[by] Verner E. Hoggatt, Jr. Albert E. Meder, Jr., editorial adviser.
SeriesHoughton Mifflin mathematics enrichment series, Houghton Mifflin modern mathematics series.
Classifications
LC ClassificationsQA241 .H57
The Physical Object
Paginationiv, 92 p.
Number of Pages92
ID Numbers
Open LibraryOL5043254M
LC Control Number74002943

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Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications. by Steven Vajda (Author) out of 5 stars 2 ratings. ISBN Cited by: 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.5/5(1). Fibonacci and Lucas Numbers with Applications (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts): Koshy, Thomas: : Books.5/5(1).   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 .

  The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers. The book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a . Title: Author: Karl Dilcher Created Date: 3/26/ AM. Fibonacci and Lucas Numbers. Verner E. Hoggatt, Jr. First published by Houghton Mifflin Company. Copyright reverted to the author in , and the Fibonacci Associationwas granted permission to publish this book. You may download the entire . The Lucas numbers are closely related to the Fibonacci numbers and satisfy the same recursion relation Ln+1 = Ln + Ln 1, but with starting values L1 = 1 and L2 = 3. Determine the first 12 Lucas numbers. 3. The generalized Fibonacci sequence satisfies fn+1 = fn + fn 1 with starting values f1 = p and f2 = q. Using mathematical induction, prove thatFile Size: 1MB.

The First Fibonacci and Lucas Numbers (Pages: ) First Page; Request permissions; Free Access. The First Fibonacci Numbers and Their Prime Factorizations (Pages: ) First Page; PDF The First Lucas Numbers and Their Prime Factorizations (Pages: ) First Page; PDF Request permissions; Free Access. 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. This text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also covers geometric topics related to the ancient principle known as the Golden Section, plus Meta-Fibonacci numbers and Platonic solids. edition.4/5(3).   Fibonacci and Lucas numbers have intrigued amateur and professionalmathematicians for centuries. This volume represents the firstattempt to compile a Reviews: 1.