New Visual Perspectives On Fibonacci Numbers - Softcover

Atanassov, Krassimir T; Atanassova, Vassia K; Shannon, Anthony G; Turner, John C

Softcover

ISBN 10: 9812381341 ISBN 13: 9789812381347

Publisher: World Scientific Publishing Co Pte Ltd, 2002

Synopsis

This book covers new ground on Fibonacci sequences and the well-known Fibonacci numbers. It will appeal to research mathematicians wishing to advance the new ideas themselves, and to recreational mathematicians, who will enjoy the various visual approaches and the problems inherent in them.There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation.Very little prior mathematical knowledge is assumed, other than the rudiments of algebra and geometry, so the book may be used as a source of enrichment material and project work for college students. A chapter on games using goldpoint tiles is included at the end, and it can provide much material for stimulating mathematical activities involving geometric puzzles of a combinatoric nature.

About this title

Review

...Gains a good deal of interest if the reader has some knowledge of these traditional results and techniques. -- New Zealand Mathematical Society Newsletter

Altogether this is a very stimulating book. -- Mathematics Abstracts

I recommend this book to anyone interested in iteratice processes on integers. -- MAA Online Book Review

Reflects new developments especially the role of Fibonacci numbers in Matiyasevich's negative solution of hilbert's tenth problem. -- Choice

Synopsis

A study of Fibonacci sequences and the well-known Fibonacci numbers. It should be of interest to research mathematicians wishing to advance the ideas themselves, and to recreational mathematicians, who should enjoy the various visual approaches and the problems inherent in them. There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation. Very little prior mathematical knowledge is assumed, other than the rudiments of algebra and geometry, so the text may be used as a source of enrichment material and project work for college students. A chapter on games using goldpoint tiles is included at the end, and it seeks to provide much material for stimulating mathematical activities involving geometric puzzles of a combinatoric nature.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 2002
• Language: English
• ISBN 10: 9812381341
• ISBN 13: 9789812381347
• Binding: Paperback
• Number of pages: 332