Understanding Fibonacci Numbers

Understanding Fibonacci Numbers

Author: Edward D. Dobson

Publisher: Wasendorf & Associates Incorporated

Published: 1984

Total Pages: 16

ISBN-13: 9780934380089

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Primer booklet which explains and describes the fascinating Fibonacci number sequence, and how it is utilized by traders to forecast and interpret price action. Comprehensive bibliography lists all known references on this subject.


Growing Patterns

Growing Patterns

Author: Sarah C. Campbell

Publisher: Astra Publishing House

Published: 2022-07-26

Total Pages: 35

ISBN-13: 1635928370

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ALSC Notable Children's Book A wonderful introduction to one of the most beautiful connections between mathematics and the natural world–the Fibonacci sequence–through a series of stunning nature photographs. Discover the biggest mathematical mystery in nature—Fibonacci numbers! Named after a famous mathematician, the number pattern is simple and starts with: 1, 1, 2, 3, 5, 8, 13. Each number in the sequence comes from adding the two numbers before it. What's the mystery? The pattern crops up in the most unexpected places. You'll find it in the disk of a sunflower, the skin of a pineapple, and the spiral of a nautilus shell. This book brings math alive, celebrates science, and will inspire kids to see nature through new eyes.


Finding Fibonacci

Finding Fibonacci

Author: Keith Devlin

Publisher: Princeton University Press

Published: 2017-03-07

Total Pages: 251

ISBN-13: 1400885531

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A compelling firsthand account of Keith Devlin's ten-year quest to tell Fibonacci's story In 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers—which, it so happens, he didn't invent—Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand. In 1202, Liber abbaci—the "Book of Calculation"—introduced modern arithmetic to the Western world. Yet Fibonacci was long forgotten after his death, and it was not until the 1960s that his true achievements were finally recognized. Finding Fibonacci is Devlin's compelling firsthand account of his ten-year quest to tell Fibonacci's story. Devlin, a math expositor himself, kept a diary of the undertaking, which he draws on here to describe the project's highs and lows, its false starts and disappointments, the tragedies and unexpected turns, some hilarious episodes, and the occasional lucky breaks. You will also meet the unique individuals Devlin encountered along the way, people who, each for their own reasons, became fascinated by Fibonacci, from the Yale professor who traced modern finance back to Fibonacci to the Italian historian who made the crucial archival discovery that brought together all the threads of Fibonacci's astonishing story. Fibonacci helped to revive the West as the cradle of science, technology, and commerce, yet he vanished from the pages of history. This is Devlin's search to find him.


Fibonacci’s Liber Abaci

Fibonacci’s Liber Abaci

Author: Laurence Sigler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 736

ISBN-13: 1461300797

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First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.


The Fabulous Fibonacci Numbers

The Fabulous Fibonacci Numbers

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2010-12-30

Total Pages: 385

ISBN-13: 1615920226

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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.


How to Architect

How to Architect

Author: Doug Patt

Publisher: MIT Press

Published: 2012-02-17

Total Pages: 138

ISBN-13: 0262516993

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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!


Fibonacci Trading: How to Master the Time and Price Advantage

Fibonacci Trading: How to Master the Time and Price Advantage

Author: Carolyn Boroden

Publisher: McGraw Hill Professional

Published: 2008-03-17

Total Pages: 320

ISBN-13: 0071596739

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Made famous by the Italian mathematician Leonardo De Pisa, the Fibonacci number series holds a Golden Ratio that is universally found in nature and used by architects, plastic surgeons, and many others to achieve “perfect” aesthetic proportions. Now, in this groundbreaking guide, noted technical trading advisor Carolyn Boroden shows you how Fibonacci pattern studies can be used as an extremely effective method for achieving greater profitability in stocks, futures, and Forex markets. Fibonacci Trading provides a one-stop resource of reliable tools and clear explanations for both identifying and taking advantage of the trade setups naturally occurring in the markets that will enable you to reach the highest rate of profitable trades. Inside, you'll find a unique trading methodology based on Fibonacci ratios, and the author's personal experience analyzing and setting up the markets in real time, which makes this practical volume invaluable to the self-directed investor. Complete with detailed charts and insightful graphics in each chapter, Fibonacci Trading features: Dependable guidance for determining important support and resistance levels, along with expert advice for using them to maximize profits and limit losses Step-by-step processes for using Fibonacci analysis to predict turning points in the market far enough in advance to generate substantial profit Valuable tips for using Fibonacci analysis to establish optimal stop-loss placement Revealing coverage on how Fibonacci relationships can create a roadmap for the trader based on high percentage patterns Fibonacci Trading also provides a four-step formula for applying the covered techniques in a highly effective approach. Flexible enough for all markets and trading styles, the formula helps you focus your newly developed knowledge and skill sets into a solid trading methodology, defined trading plan, successful trading mindset, and disciplined trading approach that stacks the odds for profit in your favor. This hands-on guide is packed with a wealth of actual trading situations, setups, and scenarios that bring the four-step formula to life so you can immediately use it in the real world.


The Golden Ratio And Fibonacci Numbers

The Golden Ratio And Fibonacci Numbers

Author: Richard A Dunlap

Publisher: World Scientific

Published: 1997-12-16

Total Pages: 170

ISBN-13: 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.


Blockhead

Blockhead

Author: Joseph D'Agnese

Publisher: Macmillan

Published: 2010-03-30

Total Pages: 52

ISBN-13: 0805063056

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A biography of Leonardo Fibonacci, the 12th century mathematician who discovered the numerical sequence named for him.


Fibonacci Numbers

Fibonacci Numbers

Author: Nicolai N. Vorobiev

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 180

ISBN-13: 303488107X

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Since their discovery hundreds of years ago, people have been fascinated by the wondrous properties of Fibonacci numbers. Being of mathematical significance in their own right, Fibonacci numbers have had an impact on areas like art and architecture, and their traces can be found in nature and even the behavior of the stock market. Starting with the basic properties of Fibonacci numbers, the present book explores their relevance in number theory, the theory of continued fractions, geometry and approximation theory. Rather than giving a complete account of the subject, a few chosen examples are treated exhaustively. They not only reveal the bearing of Fibonacci numbers on mathematics, but also provide very readable marvels of mathematical reasoning. This book is the translation of the 6th Russian edition (the first edition appeared in the early fifties and became a standard source of information on the subject).