The Beauty of Numbers in Nature

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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.

Nature's Numbers

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Publisher : Basic Books
ISBN 13 : 0786723920
Total Pages : 176 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Nature's Numbers by : Ian Stewart

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

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.

Mathematics in Nature

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Publisher : Princeton University Press
ISBN 13 : 1400841011
Total Pages : 408 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematics in Nature by : John A. Adam

Download or read book Mathematics in Nature written by John A. Adam and published by Princeton University Press. This book was released on 2011-10-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.

Math Wonders to Inspire Teachers and Students

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Publisher : ASCD
ISBN 13 : 1416601066
Total Pages : 296 pages
Book Rating : 4.4/5 (166 download)

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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.

A Brain for Numbers

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Publisher : MIT Press
ISBN 13 : 0262042789
Total Pages : 394 pages
Book Rating : 4.2/5 (62 download)

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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.

Our Mathematical Universe

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Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Our Mathematical Universe by : Max Tegmark

Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Wonders of Numbers

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Publisher : Oxford University Press
ISBN 13 : 9780195348002
Total Pages : 420 pages
Book Rating : 4.3/5 (48 download)

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Book Synopsis Wonders of Numbers by : Clifford A. Pickover

Download or read book Wonders of Numbers written by Clifford A. Pickover and published by Oxford University Press. This book was released on 2003-01-16 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.

The Golden Ratio

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Publisher : Quarto Publishing Group USA
ISBN 13 : 076036026X
Total Pages : 227 pages
Book Rating : 4.7/5 (63 download)

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Book Synopsis The Golden Ratio by : Gary B. Meisner

Download or read book The Golden Ratio written by Gary B. Meisner and published by Quarto Publishing Group USA. This book was released on 2018-10-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.

The Beauty of Numbers in Nature

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Publisher : National Geographic Books
ISBN 13 : 0262534282
Total Pages : 0 pages
Book Rating : 4.2/5 (625 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 National Geographic Books. This book was released on 2017-09-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a zebra's stripes to a spider's web: an engaging examination of patterns in nature and the mathematics that underlie them. From a zebra's stripes to a spider's web, from sand dunes to snowflakes, nature is full of patterns underlaid by mathematical principles. In The Beauty of Numbers in Nature, Ian Stewart shows how life forms from the principles of mathematics. Each chapter in The Beauty of Numbers in Nature explores a different kind of patterning system and its mathematical underpinnings. In doing do, the book also uncovers some universal patterns—both in nature and made by humans—from the basic geometry of ancient Greece to the complexities of fractals. Stewart draws on a wide range of sources to examine the mathematics of patterns: the Pythagoreans' obsession with numbers as the philosophical basis of the universe; a great mathematician who wondered about how a violin makes music; a clerk in a patent office who realized that space and time can get mixed together; a maverick mathematician who questioned why nature spurns such regular geometric shapes as spheres and cylinders in favor of jagged lightning bolts, asymmetrically branching trees, and the uneven terrain of mountainsides. The book begins with a simple and often-asked question about the shape and individual uniqueness of snowflakes. How can such a strange mixture of regularity and irregularity exist in a tiny bit of frozen water? By the end of the book, readers will have learned that mathematical patterns can come in many guises, some of which don't resemble patterns at all.

Professor Stewart's Incredible Numbers

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Publisher : Basic Books
ISBN 13 : 0465042716
Total Pages : 352 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Professor Stewart's Incredible Numbers by : Ian Stewart

Download or read book Professor Stewart's Incredible Numbers written by Ian Stewart and published by Basic Books. This book was released on 2015-04-07 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.

What Shape is a Snowflake?

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Publisher :
ISBN 13 : 9780297607236
Total Pages : 224 pages
Book Rating : 4.6/5 (72 download)

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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.

The Divine Proportion

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Publisher : Courier Corporation
ISBN 13 : 0486131874
Total Pages : 208 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Divine Proportion by : H. E. Huntley

Download or read book The Divine Proportion written by H. E. Huntley and published by Courier Corporation. This book was released on 2012-06-08 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.

What in the World?

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Publisher : Simon and Schuster
ISBN 13 : 1481400614
Total Pages : 32 pages
Book Rating : 4.4/5 (814 download)

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Book Synopsis What in the World? by : Nancy Raines Day

Download or read book What in the World? written by Nancy Raines Day and published by Simon and Schuster. This book was released on 2015-09-01 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Mathematics and Art

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Publisher : Princeton University Press
ISBN 13 : 0691165289
Total Pages : 576 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Art by : Lynn Gamwell

Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

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.

Patterns in Nature

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Publisher :
ISBN 13 : 9780140551143
Total Pages : 240 pages
Book Rating : 4.5/5 (511 download)

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Book Synopsis Patterns in Nature by : Peter S. Stevens

Download or read book Patterns in Nature written by Peter S. Stevens and published by . This book was released on 1974 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: