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The Glorious Golden Ratio, by Alfred S. Posamentier, Ingmar Lehmann
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What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded.
Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics.
From the Hardcover edition.
- Sales Rank: #704434 in eBooks
- Published on: 2011-12-20
- Released on: 2011-12-20
- Format: Kindle eBook
Review
"The Glorious Golden Ratio is a delight—an inviting and highly accessible exploration of the beauty and enchantment of mathematics, full of intrigue and surprises." -- Matthew Goldstein, Chancellor, The City University of New York
"The term 'golden' comes from the belief that dimensions (of almost everything) in the golden ratio are the most pleasing to the eye. We can see that, we can feel that, we talk about it knowingly and unknowingly. This book in a fascinating fashion highlights the beauty that the Golden Ratio brings to mathematics (and beyond) so that we get a better appreciation of mathematics. The more math-oriented reader as well as the lay reader will revel in the joys of these math gems! Most joyful reading!" --Professor Peter Skalicky, rector, University of Technology Vienna, Austria
"The authors very cleverly present this most ubiquitous mathematical concept—one that demonstrates the true beauty of mathematics—with the intent of motivating the reader to a greater appreciation for mathematics. The book will show the reader the recreational side of mathematics as well!" --Charlotte K. Frank, Ph.D. SVP, Research and Development McGraw-Hill Education The McGraw-Hill Companies
"Posamentier and Lehmann have written an interesting and useful book on the golden ratio, which contains historical comments, many examples where it occurs not only in two and three dimensional geometry, but in nature in a chapter written by Hellwig, and in fractals in a chapter written by Dias. To aid teachers and students there is an appendix which contains mathematical details for some of the interesting results stated in the text. I learned about uses which surprised me." --Richard Askey, Derpartment of Mathematics, University of Wisconsin-Madison
About the Author
Alfred S. Posamentier is dean of the School of Education at Mercy College and a successful author. Ingmar Lehmann is a member of the Mathematics faculty at Humboldt University in Berlin and a prolific author.
Most helpful customer reviews
9 of 10 people found the following review helpful.
I enjoyed this book.
By C. Ramsey
This book starts by going over a bunch of equations that output the golden ratio. It comes up in many facets of life that you may not have thought were connected, but it seems that this ratio is everywhere. It can be hard to get through the first part of the book because it is all equations, so if you just read the first couple of applications and then move on, you can reference back to the equations. There is a rich history about the golden ratio, from architecture to biology. Anyways, I liked the book and notice that it had no reviews. So here you go. :)
8 of 9 people found the following review helpful.
A First Class Golden Ratio Text
By Peter Savage
There are plenty of books on this topic. Few, however, are as well-illustrated or helpful. If you were a mathematician, you might find fault with some of it, but my principal need was to be able to figure out ways of putting the Golden Ratio to work in a specific art project. The numerous geometric constructions in the book are very revealing, and well explained.
3 of 3 people found the following review helpful.
Should be in every university library
By Terence Mills
This is an excellent book on the golden ratio; it should be in every university library; the book is written clearly with many interesting facts about the golden ratio - and I mean facts not myths; irrational numbers are fascinating numbers and the golden ratio is one irrational number with a great history and many features that will appeal to wide range of mathematicians - from undergraduates to university professors; in particular, this is an important book for prospective high school teachers of mathematics; my copy is the hardback copy; it is well bound and well printed; I thank all those involved in producing such a fine book.
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