Fibonacci Numbers in Action
Abstract
An example of the power of math can be found in Fibonacci numbers. The Fibonacci numbers are sequences of numbers of the form: 0,1,1,2,3,5,8,13,... These numbers are famous for possessing wonderful and amazing applications. The sequence plays a central role in elementary number theory. In mathematical terms, it is defined by the following recurrence relation:
The first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself. That is, after two starting values, each number is the sum of the two preceding numbers. The Fibonacci numbers appear in an amazingly variety of creations, both natural and people made. The numbers have very interesting properties, and keep popping up in many places in nature and art In this paper. The Fibonacci sequence also makes its appearance in many different ways within mathematics. In this paper we investigate some important applications of the Fibonacci numbers.
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References
Morris S J, “Fibonacci Numbers”. http://jwilson.coe.uga.edu/emt669/Student.Folders/Morris.Stephanie/EMT.669/Essay.3/Fibonacci.Essay.html
Knott R, Quinney D A and PASS Maths, ,”The life and numbers of Fibonacci”, 1997
“Fibonacci number”, from Wikipedia, the free encyclopedia. http://en.wikipedia.org/wiki/Fibonacci_numbers
“Fibonacci Number”. Wolfram MathWorld. the web’s most extensive mathematics resource http://mathworld.wolfram.com/FibonacciNumber.html
Spencer D, Invitation To The Number Theory With Pascals.
Burton, D. M., Elementary number theory. New York City, New York: McGraw-Hill. 1998.
Koshy T., Fibonacci and Lucas Numbers with Applications, New York City, New York: John Wiley and Sons, Inc. 2001.
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