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Nature And Numbers
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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.
Download or read book Nature's Numbers written by Ian Stewart and published by Basic Books. This book was released on 2008-08-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times
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.
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.
Book Synopsis Numbers in Nature by : Jennifer Marino Walters
Download or read book Numbers in Nature written by Jennifer Marino Walters and published by . This book was released on 2018-08 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number of points on a starfish or on a snowflake, the number of moons in the night sky. Let's count how many surprises nature has all around us.
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.
Book Synopsis Nature's Numbers by : National Research Council
Download or read book Nature's Numbers written by National Research Council and published by National Academies Press. This book was released on 1999-06-28 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to really see the forest, what's the best way to count the trees? Understanding how the economy interacts with the environment has important implications for policy, regulatory, and business decisions. How should our national economic accounts recognize the increasing interest in and importance of the environment? Nature's Numbers responds to concerns about how the United States should make these measurements. The book recommends how to incorporate environmental and other non-market measures into the nation's income and product accounts. The panel explores alternative approaches to environmental accounting, including those used in other countries, and addresses thorny issues such as how to measure the stocks of natural resources and how to value non-market activities and assets. Specific applications to subsoil minerals, forests, and clean air show how the general principles can be applied. The analysis and insights provided in this book will be of interest to economists, policymakers, environmental advocates, economics faculty, businesses based on natural resources, and managers concerned with the role of the environment in our economic affairs.
Book Synopsis Know Your Numbers: Nature by : Mary Elizabeth Salzmann
Download or read book Know Your Numbers: Nature written by Mary Elizabeth Salzmann and published by ABDO. This book was released on 2014-08-15 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teach kids to count and read at the same time! Know Your Numbers: Nature introduces early readers to numbers by paring them with simple sentences about nature. Beautiful photos and graphics tie the written, numeral, and visual forms of each number together. For instance, one page has a picture of 16 seashells, a sentence about them, and four different ways to see the number sixteen. Help early learners gain reading practice and counting skills while building an interest in numbers. Aligned to Common Core standards and correlated to state standards. Sandcastle is an imprint of Abdo Publishing, a division of ABDO.
Book Synopsis What Shape is a Snowflake? by : Ian Stewart
Download or read book What Shape is a Snowflake? written by Ian Stewart and published by . This book was released on 2001 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enlightening vision of how the laws of mathematics find organic expression in the beauty and patterns of nature, written by an acclaimed mathematician and science writer.
Book Synopsis The Constants of Nature by : John Barrow
Download or read book The Constants of Nature written by John Barrow and published by Vintage. This book was released on 2009-05-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reality as we know it is bound by a set of constants—numbers and values that dictate the strengths of forces like gravity, the speed of light, and the masses of elementary particles. In The Constants of Nature, Cambridge Professor and bestselling author John D.Barrow takes us on an exploration of these governing principles. Drawing on physicists such as Einstein and Planck, Barrow illustrates with stunning clarity our dependence on the steadfastness of these principles. But he also suggests that the basic forces may have been radically different during the universe’s infancy, and suggests that they may continue a deeply hidden evolution. Perhaps most tantalizingly, Barrow theorizes about the realities that might one day be found in a universe with different parameters than our own.
Book Synopsis A Brain for Numbers by : Andreas Nieder
Download or read book A Brain for Numbers written by Andreas Nieder and published by MIT Press. This book was released on 2019-11-19 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: How our intuitive understanding of numbers is deeply rooted in our biology, traceable through both evolution and development. Humans' understanding of numbers is intuitive. Infants are able to estimate and calculate even before they learn the words for numbers. How have we come to possess this talent for numbers? In A Brain for Numbers, Andreas Nieder explains how our brains process numbers. He reports that numerical competency is deeply rooted in our biological ancestry; it can be traced through both the evolution of our species and the development of our individual minds. It is not, as it has been traditionally explained, based on our ability to use language. We owe our symbolic mathematical skills to the nonsymbolic numerical abilities that we inherited from our ancestors. The principles of mathematics, Nieder tells us, are reflections of the innate dispositions wired into the brain. Nieder explores how the workings of the brain give rise to numerical competence, tracing flair for numbers to dedicated “number neurons” in the brain. Drawing on a range of methods including brain imaging techniques, behavioral experiments, and twin studies, he outlines a new, integrated understanding of the talent for numbers. Along the way, he compares the numerical capabilities of humans and animals, and discusses the benefits animals reap from such a capability. He shows how the neurobiological roots of the brain's nonverbal quantification capacity are the evolutionary foundation of more elaborate numerical skills. He discusses how number signs and symbols are represented in the brain; calculation capability and the “neuromythology” of mathematical genius; the “start-up tools” for counting and developmental of dyscalculia (a number disorder analogous to the reading disorder dyslexia); and how the brain processes the abstract concept of zero.
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.
Book Synopsis Math Wonders to Inspire Teachers and Students by : Alfred Posamentier
Download or read book Math Wonders to Inspire Teachers and Students written by Alfred Posamentier and published by ASCD. This book was released on 2003-04-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you "proud" to admit that you never liked math? Were never good in math? Are you struggling to pique your students' interest in math? Are you bored by the routine, mechanical aspects of teaching to the test in mathematics? This book offers a plethora of ideas to enrich your instruction and helps you to explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, Alfred S. Posamentier reveals the amazing symmetries, patterns, processes, paradoxes, and surprises that await students and teachers who look beyond the rote to discover wonders that have fascinated generations of great thinkers. Using the guided examples, help students explore the many marvels of math, including * The Amazing Number 1,089. Follow the instructions to reverse three-digit numbers, subtract them, and continue until everyone winds up with . . . 1,089! * The Pigeonhole Principle. All students know that guesstimating works sometimes, but now they can use this strategy to solve problems. * The Beautiful Magic Square. Challenge students to create their own magic squares and then discover the properties of Dürer's Magic Square. The author presents examples to entice students (and teachers) to study mathematics--to make mathematics a popular subject, not one to dread or avoid. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.
Author :Heinz-Dieter Ebbinghaus Publisher :Springer Science & Business Media ISBN 13 :9780387974972 Total Pages :424 pages Book Rating :4.9/5 (749 download)
Book Synopsis Numbers by : Heinz-Dieter Ebbinghaus
Download or read book Numbers written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 1991 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.
Download or read book Nature's Numbers written by Ian Stewart and published by . This book was released on 1995 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical sightseeing tour of the natural world from the author of THE MAGICAL MAZE Why do many flowers have five or eight petals, but very few six or seven? Why do snowflakes have sixfold symmetry? Why do tigers have stripes but leopards have spots? Mathematics is to nature as Sherlock Holmes is to evidence. Mathematics can look at a single snowflake and deduce the atomic geometry of its crystals; it can start with a violin string and uncover the existence of radio waves. And mathematics still has the power to open our eyes to new and unsuspected regularities - the secret structure of a cloud or the hidden rhythms of the weather. There are patterns in the world we are now seeing for the first time - patterns at the frontier of science, yet patterns so simple that anybody can see them once they know where to look.
Book Synopsis Fibonacci Sequence and Golden Ratio by : Leong Ying
Download or read book Fibonacci Sequence and Golden Ratio written by Leong Ying and published by . This book was released on 2018-06-02 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euler's formula is used to derive a number theory that groups natural numbers into four distinct sets obeying twenty new arithmetic rules of addition and multiplication.All possible natural number sequences are calculated from seed values defined by the four group sets. Positive odd number bases are the roots to the Fibonacci sequence, and the only unique group function that can generate even and odd natural numbers. The remaining three groups generate only even numbers or unnatural ratios.The inter and intra ratios of the four group elements are evaluated. The inter-values determine that the Fibonacci sequence is the only function generating the full sets of natural numbers. The intra-ratio of all four groups asymptotically approaches the Golden ratio.From these deterministic evaluations of the natural number groups, it can be concluded that nature's natural tendency is to adopt the Fibonacci sequence as its preferred numbered building blocks, and that the ratio of its structures will naturally approach the Golden ratio.
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 2022-07-26 with total page 35 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.
