Mathematical Paradise

This book was inspired by a dream I had on Tuesday, March 30, 1993. It was a dream on the subsets of Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21, x, y, x+y ...), that appeared as white flowers. A continued independent study led me to invent a mathematical formula connecting triangular numbers (1, 3, 6, 10, 15, 21, 28, 36...) and numbers of the Fibonacci sequence. The formula converts any three consecutive Fibonacci numbers a, b, c into a unique, single triangular number (See The Norman Transcript, December 16, 1993; The Black Chronicle, July 13, 1995; Edmond Evening Sun, October 8, 1995; Reviewer's Bookwatch, February 2000, page 12; The Black Economic Times, July 31, 1997, Vol. 1, Issue XII (A Psychic Encounter with Fibonacci Numbers); The Oklahoma Daily - The Independent Student Voice of The University of Oklahoma, Tuesday, September 28, 1999). Reviews "Your book was a fascinating exploration into mathematics." Stacey Weinard, Formerly a math coordinator Oklahoma State Dept. of Education "Fibonacci numbers are numbers of an innocent-looking sequence named after an Italian mathematician, Filius Bonacci. Getting to Know Fibonacci Numbers will intrigue students, teachers, researchers in the field of mathematics, as well as those engaged in the research of artificial intelligence and computer science. Author Paul Emekwulu presents a fascinating mathematical exploration that is challenging, illuminating, and original." James Cox, Midwest Book Review "There are many important aspects of mathematics learning which are generally neglected in the math education exploration: pattern recognition and formulation of conjectures. This is how Paul Emekwulu presents the subject in this book." Opher Liba, Mathematics Educator Researcher, Jerusalem "The book will certainly appeal to teachers and researchers of mathematics. Of great interest is the potential application of the contents of the book to the emerging research efforts in Artificial Intelligence (AI). Fibonacci search is presently one of the search techniques being explored for AI applications. Any book that sheds more light on the unique properties of Fibonacci numbers should be of interest to AI practitioners and AI researchers." Dr. Adedeji Badiru Head of Department of Industrial Engineering Tennessee State University Tennessee Father Ray Ackerman gave me two of your books, Getting to Know Triangular Numbers, and Getting to Know Fibonacci Numbers. I found both of these books very interesting especially the one about Fibonacci numbers. In fact, a math teacher, graduate student, or undergraduate student in an Abstract Algebra class would consider these texts as excellent reference books that have a lot of interesting material in them that most students do not ever get to see." Paul Buckelew Oklahoma Center for Continuing Education University of Oklahoma