Growing Patterns

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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

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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.

Numbers in Nature

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Publisher : Be Naturally Curious
ISBN 13 : 9781942403142
Total Pages : 40 pages
Book Rating : 4.4/5 (31 download)

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Book Synopsis Numbers in Nature by : Be Naturally Curious

Download or read book Numbers in Nature written by Be Naturally Curious and published by Be Naturally Curious. This book was released on 2018-03-06 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for ages grades K-5 and to be done at home or with small groups, this interactive multi-activity mini-course introduces children to the Fibonacci sequence and how math and art can intersect with science and nature. It takes one of the most fascinating mathematical topics, the Fibonacci sequence, and the related Golden Ratio, and shows children how math can be used to see patterns in all kinds of natural settings, such as leaf arrangement, snail shells, and hurricanes. The mini-course includes a richly illustrated story-based lesson, as well as games, activities, and projects that appeal to all types of learners. An illustrated story about Fibonacci and his imaginary bean stalk introduces children to the mathematical concepts of sequences and sets, as well as an illustration of Fibonacci's famous pattern. By creating their own Fibonacci Flower Books, children then begin to investigate some of the places the famous sequence is found in nature. Children are then encouraged to visualize the relationship between numbers and shapes as they learn how to create their own Golden Spirals from the Fibonacci sequence. What elements of nature can they see in their spirals? Next, in the Purely Numbers Game, children reinforce and expand their understanding of these mathematical concepts by making their own mathematical sets. Finally, children will have fun testing how well they know the Fibonacci sequence by playing the movement-based Walk for Fibonacci. Most materials needed to complete the mini-course can be cut from the book. The mini-course requires only a few additional common household items to complete the activities: Colored pencils, eraser, pencil, scissors, mathematical compass (optional), two dice, blank paper, tape or glue. Upon completing the mini-course, children will be provided with links to additional online resources and will earn new concept badges for their Science Tool Kit (included in the mini-course)- - including Sequence, Pattern, Phyllotaxis, Opposite Phyllotaxis, and Sum.

Topics in Mathematical Modeling

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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 : K. K. Tung

Download or read book Topics in Mathematical Modeling written by K. K. 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.

The Fabulous Fibonacci Numbers

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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’s Liber Abaci

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461300797
Total Pages : 736 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 736 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: Discovering the Golden Sequence Behind Nature

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Publisher :
ISBN 13 : 9781974633340
Total Pages : 50 pages
Book Rating : 4.6/5 (333 download)

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Book Synopsis Fibonacci: Discovering the Golden Sequence Behind Nature by : Parachute Coloring Parachute Coloring Books

Download or read book Fibonacci: Discovering the Golden Sequence Behind Nature written by Parachute Coloring Parachute Coloring Books and published by . This book was released on 2017-08-24 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appreciating the beauty of nature around us is even more spectacular when we can recognize a certain pattern to it. Fibonacci spirals can be observed throughout the natural world, from a small snail shell to a cresting ocean wave. The golden ratio can be seen in the proportion of animal bodies and faces. It is nature's mysterious code.Illustrated by Marija Mladenovic, this coloring book brings 20 hand-drawn designs featuring roses, sunflowers, butterflies, seashells, peacocks, pineapples and more. Printed on one-sided paper, it is suitable for coloring with colored pencils, watercolor, gel pens, crayons, or markers.Find the beauty of the Fibonacci Sequence in nature while relaxing and reveal the artist within you!

Fibonacci and Lucas Numbers with Applications, Volume 1

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118742176
Total Pages : 1090 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Fibonacci and Lucas Numbers with Applications, Volume 1 by : Thomas Koshy

Download or read book Fibonacci and Lucas Numbers with Applications, Volume 1 written by Thomas Koshy and published by John Wiley & Sons. This book was released on 2017-12-06 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition “ ...beautiful and well worth the reading ... with many exercises and a good bibliography, this book will fascinate both students and teachers.” Mathematics Teacher Fibonacci and Lucas Numbers with Applications, Volume I, Second Edition provides a user-friendly and historical approach to the many fascinating properties of Fibonacci and Lucas numbers, which have intrigued amateurs and professionals for centuries. Offering an in-depth study of the topic, this book includes exciting applications that provide many opportunities to explore and experiment. In addition, the book includes a historical survey of the development of Fibonacci and Lucas numbers, with biographical sketches of important figures in the field. Each chapter features a wealth of examples, as well as numeric and theoretical exercises that avoid using extensive and time-consuming proofs of theorems. The Second Edition offers new opportunities to illustrate and expand on various problem-solving skills and techniques. In addition, the book features: • A clear, comprehensive introduction to one of the most fascinating topics in mathematics, including links to graph theory, matrices, geometry, the stock market, and the Golden Ratio • Abundant examples, exercises, and properties throughout, with a wide range of difficulty and sophistication • Numeric puzzles based on Fibonacci numbers, as well as popular geometric paradoxes, and a glossary of symbols and fundamental properties from the theory of numbers • A wide range of applications in many disciplines, including architecture, biology, chemistry, electrical engineering, physics, physiology, and neurophysiology The Second Edition is appropriate for upper-undergraduate and graduate-level courses on the history of mathematics, combinatorics, and number theory. The book is also a valuable resource for undergraduate research courses, independent study projects, and senior/graduate theses, as well as a useful resource for computer scientists, physicists, biologists, and electrical engineers. Thomas Koshy, PhD, is Professor Emeritus of Mathematics at Framingham State University in Massachusetts and author of several books and numerous articles on mathematics. His work has been recognized by the Association of American Publishers, and he has received many awards, including the Distinguished Faculty of the Year. Dr. Koshy received his PhD in Algebraic Coding Theory from Boston University. “Anyone who loves mathematical puzzles, number theory, and Fibonacci numbers will treasure this book. Dr. Koshy has compiled Fibonacci lore from diverse sources into one understandable and intriguing volume, [interweaving] a historical flavor into an array of applications.” Marjorie Bicknell-Johnson

Wild Fibonacci

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Publisher :
ISBN 13 : 1582461546
Total Pages : 32 pages
Book Rating : 4.5/5 (824 download)

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Book Synopsis Wild Fibonacci by : Joy N. Hulme

Download or read book Wild Fibonacci written by Joy N. Hulme and published by . This book was released on 2005 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to the Fibonacci sequence and its presence in the animal world, including the equiangular spiral of a sundial shell, a parrot's beak, a hawk's talon, and a ram's horn.

Coloring Fibonacci in Nature

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Author :
Publisher : Lulu.com
ISBN 13 : 1329770854
Total Pages : 60 pages
Book Rating : 4.3/5 (297 download)

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Book Synopsis Coloring Fibonacci in Nature by : Art Therapy Lab

Download or read book Coloring Fibonacci in Nature written by Art Therapy Lab and published by Lulu.com. This book was released on 2015-12-21 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembled here is a collection of outline illustrations inspired by the Fibonacci number sequence found in nature. They appear everywhere in nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the chambers of a nautical shell. The Fibonacci Sequence is applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.

Blockhead

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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

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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.

Eco-Mathematics Education

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Publisher : BRILL
ISBN 13 : 9004466800
Total Pages : 202 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Eco-Mathematics Education by : Nataly Chesky

Download or read book Eco-Mathematics Education written by Nataly Chesky and published by BRILL. This book was released on 2021-10-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eco-Mathematics Education strives to show how everyone can experience the embedded connection between mathematics and the natural world. The authors’ sincere hope is that by doing so, we can radically change the way we come to understand mathematics, as well as humanity’s place in the ecosystem. The book hopes to accomplish this by providing in-depth lesson plans and resources for educators and anyone interested in teaching and learning mathematics through an ecological aesthetic perspective. All lessons are based on the inquiry method of teaching, aligned to standards, incorporate art projects inspired by famous artists, and utilize recycled and/or natural materials as much as possible.

Fibonacci Numbers

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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.

Leonardo Pisano (Fibonacci)

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Publisher : Elsevier
ISBN 13 : 0080886507
Total Pages : 147 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 147 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.

The Beauty of Numbers in Nature

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Author :
Publisher :
ISBN 13 : 9781782404712
Total Pages : 224 pages
Book Rating : 4.4/5 (47 download)

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Book Synopsis The Beauty of Numbers in Nature by : Ian Stewart

Download or read book The Beauty of Numbers in Nature written by Ian Stewart and published by . This book was released on 2017-03-29 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Think of a zebra's stripes, the complexities of a spider's web, the uniformity of desert dunes, or the spirals in a sunflower head ... think of a snowflake. The Beauty of Numbers in Nature shows how life on Earth forms the principles of mathematics. Starting with the simplest patterns, each chapter looks at a different kind of patterning system and the mathematics that underlies it. In doing so the book also uncovers some universal patterns, both in nature and man-made, from the basic geometry of ancient Greece to the visually startling fractals that we are familiar with today. Elegantly illustrated, The Beauty of Numbers in Nature is an illuminating and engaging vision of how the apparently cold laws of mathematics find expression in the beauty of nature.

Swirl by Swirl

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Publisher : Houghton Mifflin Harcourt
ISBN 13 : 054731583X
Total Pages : 45 pages
Book Rating : 4.5/5 (473 download)

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Book Synopsis Swirl by Swirl by : Joyce Sidman

Download or read book Swirl by Swirl written by Joyce Sidman and published by Houghton Mifflin Harcourt. This book was released on 2011 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrates the shape of a spiral in nature, from rushing rivers to flower buds and even the shape of an ear. Additional factual information about spirals and the plants and animals pictured, follows the text.