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The Beauty of Numbers in Nature

The Beauty of Numbers in Nature
Author: Ian Stewart
Publisher:
Total Pages: 224
Release: 2017-03-29
Genre:
ISBN: 9781782404712

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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.


Growing Patterns

Growing Patterns
Author: Sarah C. Campbell
Publisher: Astra Publishing House
Total Pages: 34
Release: 2020-10-13
Genre: Juvenile Nonfiction
ISBN: 1635924898

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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.


Numbers in Nature

Numbers in Nature
Author: Be Naturally Curious
Publisher: Be Naturally Curious
Total Pages: 40
Release: 2018-03-06
Genre:
ISBN: 9781942403142

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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.


Nature's Numbers

Nature's Numbers
Author: Ian Stewart
Publisher: Basic Books
Total Pages: 179
Release: 2008-08-04
Genre: Science
ISBN: 0786723920

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"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


What Shape is a Snowflake?

What Shape is a Snowflake?
Author: Ian Stewart
Publisher:
Total Pages: 224
Release: 2001
Genre: Mathematics in nature
ISBN: 9780297607236

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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.


What in the World?

What in the World?
Author: Nancy Raines Day
Publisher: Simon and Schuster
Total Pages: 32
Release: 2015-09-01
Genre: Juvenile Nonfiction
ISBN: 1481400614

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Discover nature by the numbers in this gorgeous, innovative counting book. The natural world is full of sets of numbers: from birds’ wings in twos and clover leaves in threes to deer hooves in fours and octopus arms in eights. This book uses playful rhyming text to explore these numerical sets in vibrant detail, ending with the stars in the sky—a number set too big to count!


A Brain for Numbers

A Brain for Numbers
Author: Andreas Nieder
Publisher: MIT Press
Total Pages: 394
Release: 2019-11-19
Genre: Science
ISBN: 0262042789

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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.


Know Your Numbers

Know Your Numbers
Author: Mary Elizabeth Salzmann
Publisher: SandCastle
Total Pages: 0
Release: 2014-07
Genre: Cardinal numbers
ISBN: 9781624032660

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Invites young readers to learn the numbers one to twenty using simple text and illustrations of various things in nature, including plants, animals, and shells.


Nature's Numbers

Nature's Numbers
Author: Ian Stewart
Publisher:
Total Pages: 192
Release: 1995
Genre: Mathematics
ISBN: 9780753805305

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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.


Mathematical Logic with Special Reference to the Natural Numbers

Mathematical Logic with Special Reference to the Natural Numbers
Author: S. W. P. Steen
Publisher: Cambridge University Press
Total Pages: 0
Release: 2008-11-27
Genre: Mathematics
ISBN: 9780521090582

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This book presents a comprehensive treatment of basic mathematical logic. The author's aim is to make exact the vague, intuitive notions of natural number, preciseness, and correctness, and to invent a method whereby these notions can be communicated to others and stored in the memory. He adopts a symbolic language in which ideas about natural numbers can be stated precisely and meaningfully, and then investigates the properties and limitations of this language. The treatment of mathematical concepts in the main body of the text is rigorous, but, a section of 'historical remarks' traces the evolution of the ideas presented in each chapter. Sources of the original accounts of these developments are listed in the bibliography.