The Golden Ratio

The Golden Ratio
Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
Total Pages: 227
Release: 2018-10-23
Genre: Mathematics
ISBN: 076036026X

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This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. 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. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.

How to Architect

How to Architect
Author: Doug Patt
Publisher: MIT Press
Total Pages: 138
Release: 2012-02-17
Genre: Architecture
ISBN: 0262301008

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The basics of the profession and practice of architecture, presented in illustrated A-Z form. The word "architect" is a noun, but Doug Patt uses it as a verb—coining a term and making a point about using parts of speech and parts of buildings in new ways. Changing the function of a word, or a room, can produce surprise and meaning. In How to Architect, Patt—an architect and the creator of a series of wildly popular online videos about architecture—presents the basics of architecture in A-Z form, starting with "A is for Asymmetry" (as seen in Chartres Cathedral and Frank Gehry), detouring through "N is for Narrative," and ending with "Z is for Zeal" (a quality that successful architects tend to have, even in fiction—see The Fountainhead's architect-hero Howard Roark.) How to Architect is a book to guide you on the road to architecture. If you are just starting on that journey or thinking about becoming an architect, it is a place to begin. If you are already an architect and want to remind yourself of what drew you to the profession, it is a book of affirmation. And if you are just curious about what goes into the design and construction of buildings, this book tells you how architects think. Patt introduces each entry with a hand-drawn letter, and accompanies the text with illustrations that illuminate the concept discussed: a fallen Humpty Dumpty illustrates the perils of fragile egos; photographs of an X-Acto knife and other hand tools remind us of architecture's nondigital origins. How to Architect offers encouragement to aspiring architects but also mounts a defense of architecture as a profession—by calling out a defiant verb: architect!

The Golden Ratio And Fibonacci Numbers

The Golden Ratio And Fibonacci Numbers
Author: Richard A Dunlap
Publisher: World Scientific
Total Pages: 170
Release: 1997-12-16
Genre: Mathematics
ISBN: 9814496944

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In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.

Golden Meaning

Golden Meaning
Author: Lucienne Roberts
Publisher:
Total Pages: 279
Release: 2014-02
Genre: Golden section
ISBN: 9780957238114

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A Mathematical History of the Golden Number

A Mathematical History of the Golden Number
Author: Roger Herz-Fischler
Publisher: Courier Corporation
Total Pages: 228
Release: 2013-12-31
Genre: Mathematics
ISBN: 0486152324

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This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.

The Glorious Golden Ratio

The Glorious Golden Ratio
Author: Alfred S. Posamentier
Publisher: Prometheus Books
Total Pages: 301
Release: 2011-12-20
Genre: Mathematics
ISBN: 1616144246

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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.

The Golden Rectangle

The Golden Rectangle
Author: Gillian Neimark
Publisher: Simon and Schuster
Total Pages: 160
Release: 2013-02-19
Genre: Juvenile Fiction
ISBN: 1416985271

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Two girls with very different superpowers join together to save the world from a tiny tyrant in this sequel to The Secret Spiral. Flor Bernoulli, a fashion maven from Brooklyn, New York, and Lucy Moon, a horse-rustling farm girl from Georgia, are both in possession of magic keys that give them special powers. And they’re going need those powers if they have any hope of saving the universe. Only four inches tall and made of nothing but squares and rectangles, Square Man is on a mission throughout the universe to destroy anything round or curved. And it’s up to Flor and Lucy to stop him. Helped by Dr. Pi, a pie-baking wizard thousands of years old, and Buddy Moon, Lucy’s father and owner of an ice plant, this fantasy adventure takes the girls on a romp through time and space…and introduces a bit of magical math at the same time.

Topics in Mathematical Modeling

Topics in Mathematical Modeling
Author: Ka-Kit Tung
Publisher: Princeton University Press
Total Pages: 319
Release: 2016-06-14
Genre: Mathematics
ISBN: 1400884055

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Topics in Mathematical Modeling is an introductory textbook on mathematical modeling. The book teaches how simple mathematics can help formulate and solve real problems of current research interest in a wide range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. Yet the prerequisites are minimal: calculus and elementary differential equations. Among the many topics addressed are HIV; plant phyllotaxis; global warming; the World Wide Web; plant and animal vascular networks; social networks; chaos and fractals; marriage and divorce; and El Niño. Traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition are also included. Most chapters begin with the history of a problem, follow with a demonstration of how it can be modeled using various mathematical tools, and close with a discussion of its remaining unsolved aspects. Designed for a one-semester course, the book progresses from problems that can be solved with relatively simple mathematics to ones that require more sophisticated methods. The math techniques are taught as needed to solve the problem being addressed, and each chapter is designed to be largely independent to give teachers flexibility. The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.

The Unfinished Game

The Unfinished Game
Author: Keith Devlin
Publisher:
Total Pages: 210
Release: 2010-03-23
Genre: Mathematics
ISBN: 0465018963

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Before the mid-seventeenth century, scholars generally agreed that it was impossible to predict something by calculating mathematical outcomes. One simply could not put a numerical value on the likelihood that a particular event would occur. Even the outcome of something as simple as a dice roll or the likelihood of showers instead of sunshine was thought to lie in the realm of pure, unknowable chance. The issue remained intractable until Blaise Pascal wrote to Pierre de Fermat in 1654, outlining a solution to the "unfinished game" problem: how do you divide the pot when players are forced to.

The Golden Rectangle

The Golden Rectangle
Author: Gillian Neimark
Publisher: Simon and Schuster
Total Pages: 160
Release: 2014-02-18
Genre: Juvenile Fiction
ISBN: 1416980431

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Ten-year-olds Flor Bernoulli, a Brooklyn fashion maven, and Lucy Moon, a Georgia farm girl, use their very different super powers to combat tiny Square Man, whose mission is to rid the universe of anything round or curved.