The Golden Measure

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The Golden Ratio And Fibonacci Numbers

Author : Richard A Dunlap
Publisher : World Scientific
ISBN 13 : 9814496944
Total Pages : 170 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis The Golden Ratio And Fibonacci Numbers by : Richard A Dunlap

Download or read book The Golden Ratio And Fibonacci Numbers written by Richard A Dunlap and published by World Scientific. This book was released on 1997-12-16 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Golden Ratio

Author : Gary B. Meisner
Publisher : Quarto Publishing Group USA
ISBN 13 : 076036026X
Total Pages : 227 pages
Book Rating : 4.7/5 (63 download)

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Book Synopsis The Golden Ratio by : Gary B. Meisner

Download or read book The Golden Ratio written by Gary B. Meisner and published by Quarto Publishing Group USA. This book was released on 2018-10-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Unfinished Game

Author : Keith Devlin
Publisher :
ISBN 13 : 0465018963
Total Pages : 210 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Unfinished Game by : Keith Devlin

Download or read book The Unfinished Game written by Keith Devlin and published by . This book was released on 2010-03-23 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Measure

Author : School Mathematics Study Group
Publisher :
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis The Golden Measure by : School Mathematics Study Group

Download or read book The Golden Measure written by School Mathematics Study Group and published by . This book was released on 1967 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Golden Reed; Or, The True Measure of a True Church

Author : Benjamin Fiske Barrett
Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Golden Reed; Or, The True Measure of a True Church by : Benjamin Fiske Barrett

Download or read book The Golden Reed; Or, The True Measure of a True Church written by Benjamin Fiske Barrett and published by . This book was released on 1855 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Alex's Adventures in Numberland

Author : Alex Bellos
Publisher : A&C Black
ISBN 13 : 1408811146
Total Pages : 449 pages
Book Rating : 4.4/5 (88 download)

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Book Synopsis Alex's Adventures in Numberland by : Alex Bellos

Download or read book Alex's Adventures in Numberland written by Alex Bellos and published by A&C Black. This book was released on 2010-04-05 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A tenth anniversary edition of the iconic book about the wonderful world of maths Sunday Times bestseller | Shortlisted for the BBC Samuel Johnson Prize 'Original and highly entertaining' Sunday Times 'A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist 'Will leave you hooked on numbers' Daily Telegraph In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks, and demonstrates the remarkable ways it's linked to our everyday lives. Alex explains the surprising geometry of the 50p piece, and the strategy of how best to gamble it in a casino. He shines a light on the mathematical patterns in nature, and on the peculiar predictability of random behaviour. He eats a potato crisp whose revolutionary shape was unpalatable to the ancient Greeks, and he shows the deep connections between maths, religion and philosophy. From the world's fastest mental calculators in Germany to numerologists in the US desert, from a startlingly numerate chimpanzee in Japan to venerable Hindu sages in India, these dispatches from 'Numberland' are an unlikely but exhilarating cocktail of history, reportage and mathematical proofs. The world of maths is a much friendlier and more colourful place than you might have imagined. This anniversary edition is fully revised and updated.

The Divine Proportion

Author : H. E. Huntley
Publisher : Courier Corporation
ISBN 13 : 0486131874
Total Pages : 212 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Divine Proportion by : H. E. Huntley

Download or read book The Divine Proportion written by H. E. Huntley and published by Courier Corporation. This book was released on 2012-06-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.

The Mathematics of Harmony

Author : Alexey Stakhov
Publisher : World Scientific
ISBN 13 : 9812775838
Total Pages : 745 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Mathematics of Harmony by : Alexey Stakhov

Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."

Topics in Mathematical Modeling

Author : Ka-Kit Tung
Publisher : Princeton University Press
ISBN 13 : 1400884055
Total Pages : 319 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topics in Mathematical Modeling by : Ka-Kit Tung

Download or read book Topics in Mathematical Modeling written by Ka-Kit Tung and published by Princeton University Press. This book was released on 2016-06-14 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Seeing Through the Eyes of Yesterday--

Author : Patrick E. Hallam
Publisher : P.E. Hallam
ISBN 13 : 9780972742504
Total Pages : 104 pages
Book Rating : 4.7/5 (425 download)

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Book Synopsis Seeing Through the Eyes of Yesterday-- by : Patrick E. Hallam

Download or read book Seeing Through the Eyes of Yesterday-- written by Patrick E. Hallam and published by P.E. Hallam. This book was released on 2003-01-01 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: A tracing of the history of the concept of the Golden Mean from its prehistoric beginnings through its use by ancient Egyptians and its analysis by the early Greeks. The book chronicles the Golden Mean's use in the Middle Ages and its eventual abandonment after the advent of the Industrial Revolution. The book then demonstrates how the 18th century master gunsmiths applied the Golden Mean and used its unseen, underlying patterns to develop the architectural design for their rifles. A significant idea is the focus on reviving the traditions of the craft and revealing the arts and mysteries of the trade as practiced by these early master gunsmiths of the Kentucky longrifle.

Math and the Mona Lisa

Author : Bulent Atalay
Publisher : Smithsonian Institution
ISBN 13 : 1588343537
Total Pages : 297 pages
Book Rating : 4.5/5 (883 download)

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Book Synopsis Math and the Mona Lisa by : Bulent Atalay

Download or read book Math and the Mona Lisa written by Bulent Atalay and published by Smithsonian Institution. This book was released on 2011-09-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Bülent Atalay, a distinguished scientist and artist, examines the science and mathematics that underlie Leonardo's work, paying special attention to the proportions, patterns, shapes, and symmetries that scientists and mathematicians have also identified in nature. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective.

The Artist's Journey

Author : Nancy Hillis
Publisher : Artist's Journey Press
ISBN 13 : 9780999750438
Total Pages : 144 pages
Book Rating : 4.7/5 (54 download)

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Book Synopsis The Artist's Journey by : Nancy Hillis

Download or read book The Artist's Journey written by Nancy Hillis and published by Artist's Journey Press. This book was released on 2021-02-25 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you yearn to say yes to your deepest expression in your art and life, this self-help book is for you. Dr. Hillis guides you past resistance on your artist's journey so you can finally trust yourself, develop confidence and cultivate deep exploration and experimentation in your art. Bonus resource library with videos lessons and book club guide.

50 Visions of Mathematics

Author : Dara O' Briain
Publisher : OUP Oxford
ISBN 13 : 0191005347
Total Pages : 417 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis 50 Visions of Mathematics by : Dara O' Briain

Download or read book 50 Visions of Mathematics written by Dara O' Briain and published by OUP Oxford. This book was released on 2014-05-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relax: no one understands technical mathematics without lengthy training but we all have an intuitive grasp of the ideas behind the symbols. To celebrate the 50th anniversary of the founding of the Institute of Mathematics and its Applications (IMA), this book is designed to showcase the beauty of mathematics - including images inspired by mathematical problems - together with its unreasonable effectiveness and applicability, without frying your brain. The book is a collection of 50 original essays contributed by a wide variety of authors. It contains articles by some of the best expositors of the subject (du Sautoy, Singh and Stewart for example) together with entertaining biographical pieces and articles of relevance to our everyday lives (such as Spiegelhalter on risk and Elwes on medical imaging). The topics covered are deliberately diverse and involve concepts from simple numerology to the very cutting edge of mathematics research. Each article is designed to be read in one sitting and to be accessible to a general audience. There is also other content. There are 50 pictorial 'visions of mathematics' which were supplied in response to an open call for contributions from IMA members, Plus readers and the worldwide mathematics community. You'll also find a series of "proofs " of Phythagoras's Theorem - mathematical, literary and comedy - after this, you'll never think of Pythagoras the same way again.

A Mathematical History of the Golden Number

Author : Roger Herz-Fischler
Publisher : Courier Corporation
ISBN 13 : 0486152324
Total Pages : 228 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis A Mathematical History of the Golden Number by : Roger Herz-Fischler

Download or read book A Mathematical History of the Golden Number written by Roger Herz-Fischler and published by Courier Corporation. This book was released on 2013-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Curves of Life

Author : Theodore Andrea Cook
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Curves of Life by : Theodore Andrea Cook

Download or read book The Curves of Life written by Theodore Andrea Cook and published by . This book was released on 1914 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Day Trading

Author : Justin Kuepper
Publisher : Sourcebooks, Inc.
ISBN 13 : 1623155754
Total Pages : 297 pages
Book Rating : 4.6/5 (231 download)

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Book Synopsis Day Trading by : Justin Kuepper

Download or read book Day Trading written by Justin Kuepper and published by Sourcebooks, Inc.. This book was released on 2015-04-10 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: All You'll Ever Need to Trade from Home When most people hear the term "day trader," they imagine the stock market floor packed with people yelling 'Buy' and 'Sell' - or someone who went for broke and ended up just that. These days, investing isn't just for the brilliant or the desperate—it's a smart and necessary move to ensure financial wellbeing. To the newcomer, day trading can be a confusing process: where do you begin, and how can you approach trading in a careful yet effective way? With Day Trading you'll get the basics, then: Learn the Truth About Trading Understand The Psychology of Trading Master Charting and Pattern-recognition Study Trading Options Establish Trading Strategies & Money Management Day Trading will let you make the most out of the free market from the comfort of your own computer.

The Measure

Author : Nikki Erlick
Publisher : HarperCollins
ISBN 13 : 0063204223
Total Pages : 375 pages
Book Rating : 4.0/5 (632 download)

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Book Synopsis The Measure by : Nikki Erlick

Download or read book The Measure written by Nikki Erlick and published by HarperCollins. This book was released on 2022-06-28 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: INSTANT NEW YORK TIMES BESTSELLER - The Read With Jenna Today Show Book Club Pick! "A story of love and hope as interweaving characters display: how all moments, big and small, can measure a life. If you want joy, love, romance, and hope—read with us." —Jenna Bush Hager A luminous, spirit-lifting blockbuster for readers of The Midnight Library. Eight ordinary people. One extraordinary choice. It seems like any other day. You wake up, pour a cup of coffee, and head out. But today, when you open your front door, waiting for you is a small wooden box. This box holds your fate inside: the answer to the exact number of years you will live. From suburban doorsteps to desert tents, every person on every continent receives the same box. In an instant, the world is thrust into a collective frenzy. Where did these boxes come from? What do they mean? Is there truth to what they promise? As society comes together and pulls apart, everyone faces the same shocking choice: Do they wish to know how long they’ll live? And, if so, what will they do with that knowledge? The Measure charts the dawn of this new world through an unforgettable cast of characters whose decisions and fates interweave with one another: best friends whose dreams are forever entwined, pen pals finding refuge in the unknown, a couple who thought they didn’t have to rush, a doctor who cannot save himself, and a politician whose box becomes the powder keg that ultimately changes everything. Enchanting and deeply uplifting, The Measure is a sweeping, ambitious, and invigorating story about family, friendship, hope, and destiny that encourages us to live life to the fullest.