The Fabulous Fibonacci Numbers
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The Fabulous Fibonacci Numbers
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Author : Alfred S. Posamentier
language : en
Publisher:
Release Date : 2007
The Fabulous Fibonacci Numbers written by Alfred S. Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Explores the complexity and wide-ranging applications of the Fibonacci sequence, which appears in nature, art, economics, and the "golden ratio," which is derived from this simple pattern of numbers.
The Fabulous Fibonacci Numbers
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Author : Alfred S Posamentier
language : en
Publisher:
Release Date : 2023-02-10
The Fabulous Fibonacci Numbers written by Alfred S Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-10 with categories.
The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the golden ratio. And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.
Fibonacci And Lucas Numbers And The Golden Section
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Author : Steven Vajda
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Fibonacci And Lucas Numbers And The Golden Section written by Steven Vajda and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
This survey of the use of Fibonacci and Lucas numbers and the ancient principle of the Golden Section covers areas relevant to operational research, statistics, and computational mathematics. 1989 edition.
Wild Fibonacci
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Author : Joy N. Hulme
language : en
Publisher: National Geographic Books
Release Date : 2010-07-27
Wild Fibonacci written by Joy N. Hulme and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-27 with Juvenile Nonfiction categories.
1, 1, 2, 3, 5, 8, 13, 21, 34. . . Look carefully. Do you see the pattern? Each number above is the sum of the two numbers before it. Though most of us are unfamiliar with it, this numerical series, called the Fibonacci sequence, is part of a code that can be found everywhere in nature. Count the petals on a flower or the peas in a peapod. The numbers are all part of the Fibonacci sequence. In Wild Fibonacci, readers will discover this mysterious code in a special shape called an equiangular spiral. Why so special? It mysteriously appears in the natural world: a sundial shell curves to fit the spiral. So does a parrot's beak. . . a hawk's talon. . . a ram's horn. . . even our own human teeth! Joy Hulme provides a clear and accessible introduction to the Fibonacci sequence and its presence in the animal world.
Magnificent Mistakes In Mathematics
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Author : Alfred S. Posamentier
language : en
Publisher: Prometheus Books
Release Date : 2013-08-13
Magnificent Mistakes In Mathematics written by Alfred S. Posamentier and has been published by Prometheus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Mathematics categories.
Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.
The Golden Ratio And Fibonacci Numbers
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Author : R. A. Dunlap
language : en
Publisher: World Scientific
Release Date : 1997
The Golden Ratio And Fibonacci Numbers written by R. A. Dunlap and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
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. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Numbers Are Forever
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Author : Liz Strachan
language : en
Publisher: Hachette UK
Release Date : 2014-03-20
Numbers Are Forever written by Liz Strachan and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-20 with Mathematics categories.
This book is only about numbers - that is, whole numbers and nothing but the whole numbers, which start from from 0, 1, 2, 3, 4... and go on forever. Here you can meet perfect numbers, happy numbers, lucky, untouchable, weird, narcissistic, evil and deficient numbers, not to mention nice Friedmans and multi-legged repunits, as well as primes and their cousins, the sexy primes. It is also full of fascinating facts and curios, prime number conjectures, the sieve of Eratosthenes, the Fibonacci series, and much more besides. This is an accessible, clearly explained approach which will appeal to recreational maths enthusiasts, puzzle solvers, and mathematicians of all ages.
The Glorious Golden Ratio
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Author : Alfred S. Posamentier
language : en
Publisher:
Release Date : 2012
The Glorious Golden Ratio written by Alfred S. Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
"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." --
Fibonacci Analysis
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Author : Constance Brown
language : en
Publisher: John Wiley & Sons
Release Date : 2010-05-13
Fibonacci Analysis written by Constance Brown and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-13 with Business & Economics categories.
Only someone who is both a successful trader and a successful writer could pull off what Constance Brown has accomplished in this book: distilling Fibonacci analysis to two hundred or so comprehensive, clearly written, eminently practical pages. Brown knows exactly what a professional trying to come up to speed on a new trading tool needs and she provides it, covering what Fibonacci analysis is, how it works, where it comes from, pitfalls and dangers, and, of course, how to use it. Basic trading strategies are touched upon in virtually every chapter. Fibonacci analysis is one of the most popular technical analysis tools, yet it is often used incorrectly. Brown quickly clears up common misconceptions and moves on to show, step by step, the correct way to apply the technique in any market. Those with Fibonacci analysis software will learn how to use it with maximum effectiveness; those without will chart the market the old-fashioned way. All will find answers to the trader's most important questions: Where is the market going? At what level should my stop be entered? Based on the size of my trading account, how much should I leverage into a trading position? Can I tell if I am in trouble before my stop is hit? How much should I buy or sell if given a second or third opportunity? Occasional references to other tools--including Elliott Wave, W.D. Gann, and candlestick charts--and an extensive bibliography make this book richer for accomplished technical analysts without confounding the less experienced. Plentiful real-life examples and dozens of carefully annotated charts insure every reader will get maximum value from every minute spent with this book. Gold Medal Winner (tie), Investing Category, Axiom Business Book Awards (2009) Winner: Book Series Cover Design, The Bookbinders Guild of New York/2009 New York Book Show Awards
Blockhead
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Author : Joseph D'Agnese
language : en
Publisher: Macmillan
Release Date : 2010-03-30
Blockhead written by Joseph D'Agnese and has been published by Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-30 with Juvenile Nonfiction categories.
A biography of Leonardo Fibonacci, the 12th century mathematician who discovered the numerical sequence named for him.