Fibonacci Numbers

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Growing Patterns

Author : Sarah C. Campbell
Publisher : Astra Publishing House
ISBN 13 : 1635924898
Total Pages : 34 pages
Book Rating : 4.6/5 (359 download)

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Book Synopsis Growing Patterns by : Sarah C. Campbell

Download or read book Growing Patterns written by Sarah C. Campbell and published by Astra Publishing House. This book was released on 2020-10-13 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Keith Devlin
Publisher : Princeton University Press
ISBN 13 : 0691192308
Total Pages : 250 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Finding Fibonacci by : Keith Devlin

Download or read book Finding Fibonacci written by Keith Devlin and published by Princeton University Press. This book was released on 2019-07-09 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. -- Back cover.

Fibonacci Numbers

Author : Nicolai N. Vorobiev
Publisher : Birkhäuser
ISBN 13 : 303488107X
Total Pages : 180 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fibonacci Numbers by : Nicolai N. Vorobiev

Download or read book Fibonacci Numbers written by Nicolai N. Vorobiev and published by Birkhäuser. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Understanding Fibonacci Numbers

Author : Edward D. Dobson
Publisher : Wasendorf & Associates Incorporated
ISBN 13 : 9780934380089
Total Pages : 16 pages
Book Rating : 4.3/5 (8 download)

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Book Synopsis Understanding Fibonacci Numbers by : Edward D. Dobson

Download or read book Understanding Fibonacci Numbers written by Edward D. Dobson and published by Wasendorf & Associates Incorporated. This book was released on 1984 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fibonacci Numbers

Author : Nikolai Nikolaevich Vorob'ev
Publisher : Courier Corporation
ISBN 13 : 048629885X
Total Pages : 80 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Fibonacci Numbers by : Nikolai Nikolaevich Vorob'ev

Download or read book Fibonacci Numbers written by Nikolai Nikolaevich Vorob'ev and published by Courier Corporation. This book was released on 2013-04-10 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging treatment of an 800-year-old problem explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. Its entertaining style will appeal to recreational readers and students alike.

Blockhead

Author : Joseph D'Agnese
Publisher : Macmillan
ISBN 13 : 0805063056
Total Pages : 52 pages
Book Rating : 4.8/5 (5 download)

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Book Synopsis Blockhead by : Joseph D'Agnese

Download or read book Blockhead written by Joseph D'Agnese and published by Macmillan. This book was released on 2010-03-30 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A biography of Leonardo Fibonacci, the 12th century mathematician who discovered the numerical sequence named for him.

The Golden Ratio And Fibonacci Numbers

Author : Richard A Dunlap
Publisher : World Scientific
ISBN 13 : 9814496944
Total Pages : 172 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 172 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.

Fibonacci’s Liber Abaci

Author : Laurence Sigler
Publisher : Springer Science & Business Media
ISBN 13 : 1461300797
Total Pages : 638 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Fibonacci’s Liber Abaci by : Laurence Sigler

Download or read book Fibonacci’s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fibonacci and Lucas Numbers with Applications

Author : Thomas Koshy
Publisher : John Wiley & Sons
ISBN 13 : 1118031318
Total Pages : 676 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Fibonacci and Lucas Numbers with Applications by : Thomas Koshy

Download or read book Fibonacci and Lucas Numbers with Applications written by Thomas Koshy and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of mathematics' most fascinatingnumber sequences Fibonacci and Lucas numbers have intrigued amateur and professionalmathematicians for centuries. This volume represents the firstattempt to compile a definitive history and authoritative analysisof these famous integer sequences, complete with a wealth ofexciting applications, enlightening examples, and fun exercisesthat offer numerous opportunities for exploration andexperimentation. The author has assembled a myriad of fascinating properties of bothFibonacci and Lucas numbers-as developed by a wide range ofsources-and catalogued their applications in a multitude of widelyvaried disciplines such as art, stock market investing,engineering, and neurophysiology. Most of the engaging anddelightful material here is easily accessible to college and evenhigh school students, though advanced material is included tochallenge more sophisticated Fibonacci enthusiasts. A historicalsurvey of the development of Fibonacci and Lucas numbers,biographical sketches of intriguing personalities involved indeveloping the subject, and illustrative examples round out thisthorough and amusing survey. Most chapters conclude with numericand theoretical exercises that do not rely on long and tediousproofs of theorems. Highlights include: * Balanced blend of theory and real-world applications * Excellent reference material for student reports andprojects * User-friendly, informal, and entertaining writing style * Historical interjections and short biographies that add a richerperspective to the topic * Reference sections providing important symbols, problemsolutions, and fundamental properties from the theory of numbersand matrices Fibonacci and Lucas Numbers with Applications providesmathematicians with a wealth of reference material in oneconvenient volume and presents an in-depth and entertainingresource for enthusiasts at every level and from any background.

The Fabulous Fibonacci Numbers

Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1615920226
Total Pages : 385 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis The Fabulous Fibonacci Numbers by : Alfred S. Posamentier

Download or read book The Fabulous Fibonacci Numbers written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2010-12-30 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Catalan Numbers

Author : Ralph Grimaldi
Publisher : John Wiley & Sons
ISBN 13 : 1118159764
Total Pages : 380 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Fibonacci and Catalan Numbers by : Ralph Grimaldi

Download or read book Fibonacci and Catalan Numbers written by Ralph Grimaldi and published by John Wiley & Sons. This book was released on 2012-02-21 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory-level examples. The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers. The book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a solid foundation of the underlying properties. The relationship of the Catalan numbers to various concepts is then presented in examples dealing with partial orders, total orders, topological sorting, graph theory, rooted-ordered binary trees, pattern avoidance, and the Narayana numbers. The book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: Real-world examples that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science More than 300 exercises that enable readers to explore many of the presented examples in greater depth Illustrations that clarify and simplify the concepts Fibonacci and Catalan Numbers is an excellent book for courses on discrete mathematics, combinatorics, and number theory, especially at the undergraduate level. Undergraduates will find the book to be an excellent source for independent study, as well as a source of topics for research. Further, a great deal of the material can also be used for enrichment in high school courses.

Applications of Fibonacci Numbers

Author : G.E. Bergum
Publisher : Springer
ISBN 13 : 9789401061070
Total Pages : 484 pages
Book Rating : 4.0/5 (61 download)

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Book Synopsis Applications of Fibonacci Numbers by : G.E. Bergum

Download or read book Applications of Fibonacci Numbers written by G.E. Bergum and published by Springer. This book was released on 2012-10-13 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of `The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universität, Graz, Austria, July 15-19, 1996

The Man of Numbers

Author : Keith Devlin
Publisher : A&C Black
ISBN 13 : 1408822482
Total Pages : 193 pages
Book Rating : 4.4/5 (88 download)

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Book Synopsis The Man of Numbers by : Keith Devlin

Download or read book The Man of Numbers written by Keith Devlin and published by A&C Black. This book was released on 2012-11-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential.The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the 'Book of Calculation', and the revolution that followed its publication was enormous.Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance. Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers - the Fibonacci sequence - used by some to predict the rise and fall of financial markets, and evident in myriad biological structures. In The Man of Numbers, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.

Fibonacci Fun

Author : Trudi Hammel Garland
Publisher :
ISBN 13 : 9781572322653
Total Pages : 0 pages
Book Rating : 4.3/5 (226 download)

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Book Synopsis Fibonacci Fun by : Trudi Hammel Garland

Download or read book Fibonacci Fun written by Trudi Hammel Garland and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The 24 ready-to-use, independent activities and projects in Fibonacci Fun are structured so students can work individually or in groups and then share information during class discussions. Topics include geometry, statistics, networks, coordinate graphing, calculators, number bases, problem solving, and patterns."--Page 4 of cover

Leonardo Pisano (Fibonacci)

Author : L. E. Sigler
Publisher : Elsevier
ISBN 13 : 0080886507
Total Pages : 144 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Leonardo Pisano (Fibonacci) by : L. E. Sigler

Download or read book Leonardo Pisano (Fibonacci) written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.

Fibonacci and Lucas Numbers, and the Golden Section

Author : Steven Vajda
Publisher : Courier Corporation
ISBN 13 : 0486462765
Total Pages : 194 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Fibonacci and Lucas Numbers, and the Golden Section by : Steven Vajda

Download or read book Fibonacci and Lucas Numbers, and the Golden Section written by Steven Vajda and published by Courier Corporation. This book was released on 2008-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fibonacci Numbers

Author : Nicolai N. Vorobiev
Publisher : Springer Science & Business Media
ISBN 13 : 9783764361358
Total Pages : 192 pages
Book Rating : 4.3/5 (613 download)

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Book Synopsis Fibonacci Numbers by : Nicolai N. Vorobiev

Download or read book Fibonacci Numbers written by Nicolai N. Vorobiev and published by Springer Science & Business Media. This book was released on 2002-10-23 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).