More fascinating facts on Fibonacci numbers are available in your local library:
means the whole book is useful and indicates an article in a magazine or else a paper in a professional journal where mathematicians and scientists report their latest findings (which may only be available in a college or university library).
Ian Stewart's Mathematical Recreations column on page 96 of the January 1995 (vol.272 no.1)
issue of Scientific American.
^^ The Penguin Dictionary of Curious and Interesting Numbers, by David Wells, Penguin press, (new edition 1998) is full of interesting facts about all sorts of individual numbers. See the entry under 16180339887... for more information about Phi and the FIbonacci numbers. This is an excellent book! (More information and you can order it online via the title-link.)
^^ Garth Runion's The Golden Section Dale Seymours publications, 1990, is also an excellent introduction to applications and maths on the Golden section and is very popular especially as a source for classroom work. (More information and you can order it online via the title-link.) ^^ Theoni Pappas, The Joy of Mathematics: Discovering Mathematics All Around You, World Wide Publishers, 1989, ISBN: 0 93317465 9.
^^ J & F Gies, Leonard of Pisa & the New Mathematics of the Middle Ages, Thos Cromwell, New York, 1969. F Gies is the author of the entry on Fibonacci numbers in the Encyclopaedia Brittanica.
^^ Martin Gardner's books are always worth looking at. He has covered different aspects of the Fibonacci numbers in several of his books in his own enthusiastic and fascinating style:
^^ Mathematical Circus, Mathematical Association of America, 1992 , chapter 13.
^^ More mathematical puzzles and diversions, Mathematical Association of America press, ISBN: 0 14013823 4, (revised edition 1997), chapter 8 Phi: the Golden Ratio ^^ Penrose Tiles to Trapdoor Ciphers, W H Freeman and Co press, 1988, chapters 1 and 2 on Penrose Tilings and also chapter 8 Wythoff's Nim
A complete list of his books is available at this Think.com site , with separate links to each book at Amazon.com's on-line bookstore. All of is books are a treasure trove of fun and he writes with a clarity and I guarantee you will be dipping into them again and again.
Books by Trudi Garland:
^ Fascinating Fibonaccisby Trudi Hammel Garland.
Trudy is a teacher in California and has some more information on her book. She also has published several posters, including one on the golden sectionsuitable for a classroom or your study room wall.
You should also look at her other Fibonacci books too:
^^ Fibonacci Fun: Fascinating Activities with Intriguing NumbersTrudi Hammel Garland - a book for teachers;
^^Math and Music: Harmonious Connectionsby Trudi Hammel Garland, Charity Vaughan Kahn and Katarina Stenstedt .
^^ On the theme of good books for teachers, Math Curse by Jon Scieszka and Lane Smith, published by Viking in 1995, is the story of Mrs Fibonacci and, of course, mentions the Fibonacci series. It is getting good reviews as a book for (US) grades 4 to 8.
Schroeder, Manfred R. Number Theory in Science and Communication, With Applications in Cryptography, Springer-Verlag, 1990. ISBN 3540158006.
This is a fascinating collection of all sorts of applications of Number Theory to many areas of science and technology. It has sections on the Fibonacci Numbers, the Golden section and the Rabbit sequence (also called the Golden String).
^^ S Hildebrandt and A Tromba's The Parsimonious Universe - Shape and Form in the Natural World How scientists and mathematicians have sought the laws of shape of natural forms.
Books available through the Fibonacci Association:
The current volume and previous volumes' indexes (or should it be indices?) of the Fibonacci Quarterly are useful to see the kind of papers that they deal with.
Eric W. Weisstein's World of Mathematics list of books on Fibonacci numbers .
Some earlier Proceedings of the Third, Fourth, Fifth and Sixth International Conference on Fibonacci Numbers and Their Applications are available as books. The editor of each is A N Philippou. The latest is the Seventh edited by Gerald E. Bergum, Andreas N. Philippou and Alwyn F. Horadam .
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