The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature  from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, mathematics educators Alfred Posamentier and Ingmar Lehmann take us on a fascinating tour of the many ramifications of the Fibonacci numbers. The authors begin with a brief history of their distinguished Italian discoverer, who, among other accomplishments, was responsible for popularising the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the 'golden ratio'. And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few. Accessible and appealing to even the most mathphobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.
About Alfred S. Posamentier
Alfred S. Posamentieris dean of the School of Education and professor of mathematics education at Mercy College in Dobbs Ferry, New York. Previously, he had the same positions at the City College of the City University of New York for forty years. He has published over fiftyfive books in the area of mathematics and mathematics education, including"Pi: A Biography of the World's Most Mysterious Number "(with Ingmar Lehmann). Ingmar Lehmannis retired from the mathematics faculty at Humboldt University in Berlin. For many years he led the Berlin Mathematics Student Society for gifted secondaryschool students, with which he is still closely engaged today. He is the coauthor with Alfred S. Posamentier of"The Secrets of Triangles," "The Glorious Golden Ratio," and three other books."Details Book
Author  :  Alfred S. Posamentier 
Publisher  :  Prometheus Books 
Data Published  :  01 June 2007 
ISBN  :  1591024757 
EAN  :  9781591024750 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  385 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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