The Glorious Golden Ratio

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Prometheus Books, 2012 - Mathematics - 363 pages
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For centuries, mathematicians, scientists, artists, and architects have been fascinated by a ratio that is ubiquitous in nature and is commonly found across many cultures. It has been called the golden ratio because of its prevalence as a design element and its seemingly universal esthetic appeal. From the ratio of certain proportions of the human body and the helical structure of DNA to the design of ancient Greek statues and temples as well as modern masterpieces, the golden ratio is a key pattern that has not only wide-ranging but perhaps endless applications and manifestations. What exactly is the golden ratio? How was it discovered? Where is it found? And what are some of the fascinating relationships it harbors? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. With their talent for elucidating mathematical mysteries, veteran educators and prolific mathematics writers Alfred S. Posamentier and Ingmar Lehmann begin by tracing the appearance of the golden ratio throughout history. They demonstrate a variety of ingenious techniques used to construct it, and they illustrate the many surprising geometric figures in which the golden ratio is embedded. They also point out the intriguing relationship between the golden ratio and other famous numbers (such as the Fibonacci numbers, Pythagorean triples, and others). Then they explore its prevalence in mathematics and beyond. Requiring no more than an elementary knowledge of geometry and algebra, The Glorious Golden Ratio will give all readers a new appreciation of the indispensable qualities and the inherent beauty of mathematics.

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User Review  - fpagan - LibraryThing

Not the first book on that most astonishing of irrational but non-transcendental numbers phi = (sqrt(5) + 1) / 2 = 1.61803..., but could there ever be too many? Popular-level, if heavy use of high ... Read full review

About the author (2012)

Alfred S. Posamentier is 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 fifty-five books in the area of mathematics and mathematics education, including The Fabulous Fibonacci Numbers (with Ingmar Lehmann). 
Ingmar Lehmann is retired from the mathematics faculty at Humboldt University in Berlin. For many years he led the Berlin Mathematics Student Society for gifted secondary-school students, with which he is still closely engaged today.  He is the coauthor with Alfred S. Posamentier of The Secrets of TrianglesThe Glorious Golden Ratio, and three other books.

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