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Fibonacci and Lucas Numbers with Applications

Book Title

Fibonacci and Lucas Numbers with Applications

Files

Publication Date

8-10-2001

Edition

1

Publisher

Wiley

Place of Publication

New York, NY

Keywords

Fibonacci numbers, Lucas numbers

Subject

Fibonnaci numbers, Lucas numbers.

Department

Mathematics

Disciplines

Mathematics

Description

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.

ISBN

FBC001

Document Type

Article

Fibonacci and Lucas Numbers with Applications

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