Prof Roger Penroses book Shadows of the Mind published in 1994 by Oxford Press

# Prof roger penroses book shadows of the mind

This preview shows page 85 - 89 out of 293 pages.

Prof Roger Penrose's book Shadows of the Mind published in 1994 by Oxford Press makes interesting reading on this subject. An on-line Journal, Psyche has many articles and reviews of this book in Volume 2 . Dr. Math has some interesting replies to questions about the Fibonacci series and the Golden section together with a few more formulae for you to check out. S. Vajda, Fibonacci and Lucas numbers, and the Golden Section: Theory and Applications , Halsted Press (1989). (24 of 25) [12/06/2001 17:13:40]
The mathematics of the Fibonacci series This is a wonderful book - now out of print - which is full of formulae on the Fibonacci numbers and Phi. Do try and find it in your local college or university library. It is well worth dipping in to if you are studying maths at age 16 or beyond! Mathematical Mystery Tour by Mark Wahl, 1989, is full of many mathematical investigations, illustrations, diagrams, tricks, facts, notes as well as guides for teachers using the material. It is a great resource for your own investigations. The Puzzling World of the Fibonacci Numbers Fibonacci Home Page WHERE TO NOW? The first 500 Fibonacci Numbers A Formula for Fibonacci Numbers The next Topic is... The Golden Section - the Number and Its Geometry © 1996-2001 Dr Ron Knott [email protected] last update:31 March 2001 (25 of 25) [12/06/2001 17:13:40]
The first 100 Fibonacci numbers, factorized The Fibonacci numbers Contents of this Page The Fibonacci series The first 100 Fibonacci numbers, factorised .. and, if you want more ... Fibonacci numbers 101-300, factorised Fibonacci Numbers 301-500, not factorised) There is a complete list of all Fibonacci numbers and their factors up to the 1000-th Fibonacci and 1000-th Lucas numbers and partial results beyond that on Blair Kelly's Factorization pages The Fibonacci series is formed by adding the latest two numbers to get the next one, starting from 0 and 1: 0 1 --the series starts like this. 0+1=1 so the series is now 0 1 1 1+1=2 so the series continues... 0 1 1 2 and the next term is 1+2=3 so we now have 0 1 1 2 3 and it continues as follows ... 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, ... N E W (May 1999) Try this Fibonacci Calculator , written in JavaScript, if you are using Microsoft Interner Explorer 4.0 or later OR Netsacpe Navigator or Communicator version 4.0 or later. It can find Fib(2000) exactly - all 418 digits - in about 50 seconds on an Apple Macintosh PowerBook G3 series 266MHz computer. It can find the first few digits of even higher numbers, instantly, such as the twenty-million th Fibonacci number, F(20,000,000) which begins 285439828... and has over 4 million digits ! (1 of 5) [12/06/2001 17:14:02]
The first 100 Fibonacci numbers, factorized The (recurrence) formula for these Fibonacci numbers is: F(0)=0, F(1)=1, F(n)=F(n-1)+F(n-2) for n>1.

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