Download The Golden Ratio: The Divine Beauty of Mathematics in PDF ePUB Free Online

The Golden Ratio: The Divine Beauty of Mathematics

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Author

Gary B. Meisner

Release Date October 23, 2018
Total of pages 224 pages
Publisher Race Point Publishing
Language English
ISBN Code 163106486X
Files The Golden Ratio: The Divine Beauty of Mathematics
Format Pdf
Downloads 4433636
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The Golden Ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo.

From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. This book invites you to take a new look at this timeless topic, with a compilation of research and information worthy of a text book, accompanied by over 200 beautiful color illustrations that transform this into the ultimate coffee table book.
 
Author Gary Meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life. The evidence will close the gaps of understanding related to many claims of the golden ratio’s appearances and applications, and present new findings to take our knowledge further yet.
 
Whoever you are, and whatever you may know about this topic, you’ll find something new, interesting, and informative in this book, and may find yourself challenged to see, apply, and share this unique number of mathematics and science in new ways.


Download The Golden Ratio: The Story of PHI, the World's Most Astonishing Number in PDF ePUB Free Online

The Golden Ratio: The Story of PHI, the World's Most Astonishing Number

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Author

Mario Livio

Release Date September 23, 2003
Total of pages 294 pages
Publisher Broadway Books
Language English
ISBN Code 9780767908160
Files The Golden Ratio: The Story of PHI, the World's Most Astonishing Number
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Downloads 1664209
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Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!

The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.


Download The Golden Ratio Cookbook in PDF ePUB Free Online

The Golden Ratio Cookbook

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Author

Jen Golbeck

Release Date December 14, 2017
Total of pages 64 pages
Publisher Lulu.com
Language English
ISBN Code
Files The Golden Ratio Cookbook
Format Pdf
Downloads 5290380
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Favorite recipes for humans - all great for beginners - pulled straight from the social media feed of everyone's favorite golden retrievers, The Golden Ratio 4. Waffles, queso, carrots, and lots of easy meals. Bonus: everything is vegetarian!


Download The Golden Ratio Coloring Book: And Other Mathematical Patterns Inspired by Nature and Art in PDF ePUB Free Online

The Golden Ratio Coloring Book: And Other Mathematical Patterns Inspired by Nature and Art

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Author

Steve Richards

Release Date November 1, 2016
Total of pages 96 pages
Publisher Lark Crafts
Language English
ISBN Code 1454710225
Files The Golden Ratio Coloring Book: And Other Mathematical Patterns Inspired by Nature and Art
Format Pdf
Downloads 8583864
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The elegance of mathematics meets the creativity of art in this unique coloring book.
The golden ratio is the mathematical equation that describes what many consider the “divine proportion,” and it’s found throughout nature, as well as in art and architecture. This stunning coloring book showcases the beauty of Fibonacci's most famous formula, exploring the many ways numbers and beauty combine. Logical and creative minds alike will enjoy filling in the spirals and designs in these remarkable images.


Download The Golden Ratio: The Facts and the Myths in PDF ePUB Free Online

The Golden Ratio: The Facts and the Myths

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Author

Francis D. Hauser Phd

Release Date October 12, 2015
Total of pages 56 pages
Publisher CreateSpace Independent Publishing Platform
Language English
ISBN Code 1517518776
Files The Golden Ratio: The Facts and the Myths
Format Pdf
Downloads 5546845
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Euclid’s masterpiece textbook, The Elements, was written twenty-three hundred years ago. It is primarily about geometry and contains dozens of figures. Five of these are constructed using a line that “is cut in extreme and mean ratio.” Today this is called the golden ratio and is often referred to by the symbol Φ.

Many myths have grown up around this ratio. This book was written to learn about them. They arise from the pyramids, the Pythagorean Brotherhood, the platonic solids, the Fibonacci numbers, sea shells, and others. There is a common thread among these myths. Φ is an irrational number (a number whose digits after the decimal point go on forever and never form a repeating pattern). Φ can be used to draw pleasing figures. But its numerical value cannot be written down using integers and fractions, which were the only numbers used in Euclid’s time.

Mathematicians before Euclid knew that irrational numbers existed. But to many people, a number that can’t be written down was absurd. For centuries, many scientists and engineers believed that Φ was godlike.

This book discusses the myths from an engineering viewpoint. The last chapter of the book shows how Euclid handled irrational numbers; how Euclid did algebra using geometry; and a simple visual proof of why there are only five platonic solids.


Download Golden Ratio Coloring Book by Artist Rafael Araujo in PDF ePUB Free Online

Golden Ratio Coloring Book by Artist Rafael Araujo

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Author

Rafael Araujo

Release Date July 26, 2016
Total of pages 50 pages
Publisher Phiarts
Language English
ISBN Code 0646951904
Files Golden Ratio Coloring Book by Artist Rafael Araujo
Format Pdf
Downloads 2759481
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BEAUTIFUL QUALITY printed in Verona, Italy on thick, 9.8 x 9.8 inch acid-free drawing paper which keeps its color over time and can be easily detached for framing
25 HAND-DRAWN ILLUSTRATIONS by artist Rafael Araujo, including grayscale drawings to guide your color choices and help you give depth to your creations
PRINTED ONE SIDED to prevent bleed through from gel pens, gouache, ink, markers, paint or watercolors and featuring inner flaps that you can also color in.
GUARANTEED If you find this book not to your liking, for any reason at all, just let us know within the first 30 days of your purchase, and we ll refund you in full.


Download The Golden Section: Nature's Greatest Secret (Wooden Books) in PDF ePUB Free Online

The Golden Section: Nature's Greatest Secret (Wooden Books)

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Author

Scott Olsen

Release Date October 17, 2006
Total of pages 64 pages
Publisher Bloomsbury USA
Language English
ISBN Code 0802715397
Files The Golden Section: Nature's Greatest Secret (Wooden Books)
Format Pdf
Downloads 1924742
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A concise and useful handbook on the Golden Section--also known as the Golden Ratio and Golden Mean. The Golden Section is a line segment divided into two parts, such that the ratio of the short portion to the longer portion is equal to the ratio of the longer portion to the whole. It is one of the most elegant and beautiful ratios of the mathematical universe because of its combination of elegance and simplicity--hence the divine nature of its name. Drawing on art, architecture, philosophy, nature, mathematics, geometry, and music--and beautifully illustrated in the Wooden Books fashion with all manner of images--The Golden Section will tell the story of this remarkable construction and its wide ranging impact on civilization and the natural world.


Download The Golden Ratio & Fibonacci Sequence: Golden Keys to Your Genius, Health, Wealth & Excellence in PDF ePUB Free Online

The Golden Ratio & Fibonacci Sequence: Golden Keys to Your Genius, Health, Wealth & Excellence

Get The Golden Ratio & Fibonacci Sequence: Golden Keys to Your Genius, Health, Wealth & Excellence ebook in many choice of format. Read and download it by using this popular tags for pdf ebook relevant search:the golden ratio & fibonacci sequence: golden keys to your genius, health, wealth & excellence pdf, the golden ratio & fibonacci sequence: golden keys to your genius, health, wealth & excellence epub, download the golden ratio & fibonacci sequence: golden keys to your genius, health, wealth & excellence, ebook the golden ratio & fibonacci sequence: golden keys to your genius, health, wealth & excellence . Signup and download all books for free online. You can also buy the book directly from the amazon online store from link below.

Author

Matthew Cross

Release Date June 17, 2013
Total of pages 62 pages
Publisher Hoshin Media
Language English
ISBN Code
Files The Golden Ratio & Fibonacci Sequence: Golden Keys to Your Genius, Health, Wealth & Excellence
Format Pdf
Downloads 7763053
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The first book of its kind in history to introduce and explore the remarkable ubiquity of the Golden Ratio & Fibonacci Sequence in hundreds of beautiful color pictures and text.

It’s been called the Secret of the Universe, a Most Precious Jewel, Nature’s Path of Least Resistance and Maximum Performance and The Golden Key to the Cosmos. It is the Grand Pattern of Life, Growth and Success. It has fascinated and appears in the works of the world’s greatest geniuses, including Leonardo Da Vinci, Albert Einstein, Walt Disney and Steve Jobs.

Now, the open secret of the Golden Ratio and Fibonacci Sequence is revealed for your enjoyment and application. In this book you’ll journey through Golden Ratio appearances and applications throughout Nature and the Universe and in all fields of human existence and endeavor, including: art, architecture, astronomy, beauty, business, culture, design, finance, health and longevity, geometry, mathematics, medicine, relationships, science and spirituality.

This book presents a delightful cornucopia of Golden Ratio facts and facets, offering a bright window into its universality and power. The information presented is laser-like, with the ability to activate your unique genius and transform your consciousness. Universal wisdom will be at your fingertips once your Golden Doors of Perception are opened to the sacred design code of the Universe: The Golden Ratio & Fibonacci Sequence.


Download The Interesting Golden Ratio: A Simple Mathematical Approach in PDF ePUB Free Online

The Interesting Golden Ratio: A Simple Mathematical Approach

Get The Interesting Golden Ratio: A Simple Mathematical Approach ebook in many choice of format. Read and download it by using this popular tags for pdf ebook relevant search:the interesting golden ratio: a simple mathematical approach pdf, the interesting golden ratio: a simple mathematical approach epub, download the interesting golden ratio: a simple mathematical approach, ebook the interesting golden ratio: a simple mathematical approach . Signup and download all books for free online. You can also buy the book directly from the amazon online store from link below.

Author

Vincent Siu

Release Date February 11, 2016
Total of pages 158 pages
Publisher Partridge Publishing Singapore
Language English
ISBN Code
Files The Interesting Golden Ratio: A Simple Mathematical Approach
Format Pdf
Downloads 4915909
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This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial assumptions, two values are found. It is proposed that the ratio can be obtained easily by applying the Pythagoras theorem. Common terms like golden triangle, golden rhombus, golden spiral and golden angle are deduced and explained. The connections between the golden ratio and Fibonacci numbers, continued fractions, fractals, chaos and tiling are also introduced. The conclusion is that it is mathematics and not the golden ratio that is fascinating.


Download The Glorious Golden Ratio in PDF ePUB Free Online

The Glorious Golden Ratio

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Author

Alfred S. Posamentier

Release Date December 20, 2011
Total of pages 363 pages
Publisher Prometheus Books
Language English
ISBN Code
Files The Glorious Golden Ratio
Format Pdf
Downloads 9650127
Amazon Link URL
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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.


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