Fibonacci Numbers

This year I am doing a group project on Fibonacci Numbers. The actual title of this project is Fibonacci Numbers and Fibonacci Power Series. I mean this page to be some sort of resource for members of my group to find useful information. I may also post material from our project, as and when it becomes availible

Links to Fibonacci Web Pages

• Fibonacci Numbers and the Golden Section - masses of information: History, Mathematics, etc
• Yahoo's Fibonacci Numbers Page
• A Biography of Fibonacci - A bit short, but should be useful for the "History" section.
• Another General Fibonacci Numbers site - but nicely laid out.

And other useful sites

• LaTeX User Guide

Writing up the Project

Here is the finished project. This is in .dvi form, so you will need a reader recognised by your browser as a helper application to view it.

Anyway, here are some nice bunny rabbits

Books

These books contain at least something on Fibonacci Numbers.

• Aspects of Combinatorics - Victor Bryant 511.6
• Concrete Mathematics - Graham, Knuth, Patashnik 510GRA Location: (MSOL, MATL?)
• Fundamental Mathematics - Donald Knuth 001.642KNU Location: (ML, OL, MATL)
• Elementary Number Theory - David Burton 512.7 Location: CL
• Think of a Number - M. E. Lines 510 Location: CL
• Fibonacci Numbers - N. N. Vorob'ev 512.81 Location: CL (on transfer from Plymouth)

ML = Main Campus Library, OL = Old Library, CL = Central Library (in Exeter), MSOL = Statistics Library, MATL = Maths Library

The Mathematical Gazette

This fabulous journal frequently has mathematical information about Fibonacci Numbers. They are availible from the main University Library, but not for loan to Undergraduates.

• July 1997 - Singularities of Fibonacci Matrices
• March 1997 - Fibonacci Factorials, Fibonacci Sums
• July 1996 - Fibonacci Infinite Series
• Nov. 1995 - Fibonacci Power Series
• March 1990 - Golden Section in Mountain Photography; Euclid's Algorithm and Fibonacci
• Oct. 1990 - Golden Ration and Ptolemey's Theorem

Current Project Areas

The project is divided into sections, with each member of the group taking responsibility for a section. The Sections are:-

1. Introduction & Historical Aspects
2. Golden Ratio & Fibonacci Numbers in Nature
3. Mathematical Aspects
   1. Divisibility
   2. Binomial Coefficients
   3. Euclid's Algorithm
4. Fibonacci Power Series