The Glorious Golden Ratio

Alfred S. Posamentier e Ingmar Lehmann

Prometheus Books | 2011 | 363 páginas | rar - epub | 20 Mb

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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.

Contents
Acknowledgments
Introduction
Chapter 1: Defining and Constructing the Golden Ratio
Chapter 2: The Golden Ratio in History
Chapter 3: The Numerical Value of the Golden Ratio and Its Properties
Chapter 4: Golden Geometric Figures
Chapter 5: Unexpected Appearances of the Golden Ratio
Chapter 6: The Golden Ratio in the Plant Kingdom
Chapter 7: The Golden Ratio and Fractals
Concluding Thoughts
Appendix: Proofs and Justifications of Selected Relationships
Notes
Index