This title provides an utterly fascinating exploration of the Golden Ration, maths most intriguing and elegant phenomena. For centuries, mathematicians, scientists, artists and architects have been fascinated by a ratio that is ubiquitous in nature and commonly found across many cultures. From the ratio of certain proportions of the human body and the helical structure of DNA, to the design of Greek temples and modern masterpieces, the Golden Ratio is a key pattern that has wide-ranging and perhaps endless applications. What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this fascinating and engaging tour of one of mathematics most interesting phenomena. Requiring no more than an elementary understanding of maths, this volume will give readers a new appreciation of the indispensible qualities and inherent beauty of mathematics.
"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.