Nature's Numbers

Discovering Order and Pattern in the Universe

Author: Ian Stewart

Publisher: N.A

ISBN: 9780753805305

Category: Mathematics

Page: 192

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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.

Nature's Numbers

The Unreal Reality Of Mathematics

Author: Ian Stewart

Publisher: Basic Books

ISBN: 0786723920

Category: Science

Page: 176

View: 6912

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States that the mental construct of mathematics can provide humankind with a key tool to understanding the world, and discusses the implications of basic math concepts

The Beauty of Numbers in Nature

Mathematical Patterns and Principles from the Natural World

Author: Ian Stewart

Publisher: N.A

ISBN: 9781782404712

Category:

Page: 224

View: 7370

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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.

A Beginner's Guide to Constructing the Universe

The Mathematical Archetypes of Nature, Art, and Science

Author: Michael S. Schneider

Publisher: Harper Collins

ISBN: 0062043161

Category: Science

Page: 384

View: 6242

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The Universe May Be a Mystery, But It's No Secret Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round. Why one and two weren't considered numbers by the ancient Greeks. Why squares show up so often in goddess art and board games. What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster and a cathedral. And much more.

A Scientific Theology: Nature

Author: Alister E. McGrath

Publisher: Wm. B. Eerdmans Publishing

ISBN: 9780802839251

Category: Human ecology

Page: 325

View: 2840

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V. 1 Nature. v. 2 Reality. v. 3 Theory.

Teaching and Learning through Reflective Practice

A Practical Guide for Positive Action

Author: Tony Ghaye

Publisher: Routledge

ISBN: 1136842527

Category: Education

Page: 224

View: 7137

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Now in its second edition, Teaching and Learning through Reflective Practice is a practical guide to enable all those involved in educational activities to learn through the practices of reflection. The book highlights the power that those responsible for teaching and learning have to appraise, understand and positively transform their teaching. Seeing the teacher as a reflective learner, the book emphasises a strengths-based approach in which positivity, resilience, optimism and high performance can help invigorate teaching, enhance learning and allow the teacher to reach their full potential. This approach busts the myth that reflection on problems and deficits is the only way to better performance. The approach of this new edition is an ‘appreciative’ one. At its heart is the exploration and illustration of four reflective questions: What’s working well? What needs changing? What are we learning? Where do we go from here? With examples drawn from UK primary teacher education, the book reveals how appreciative reflective conversations can be initiated and sustained. It also sets out a range of practical processes for amplifying success. This book will be a must have for undergraduate and PGCE students on initial teacher training programmes. It will also interest practising teachers, teacher educators and those on continuing professional development courses.

Sync

How Order Emerges from Chaos In the Universe, Nature, and Daily Life

Author: Steven H. Strogatz

Publisher: Hachette Books

ISBN: 140130446X

Category: Science

Page: 352

View: 7772

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At the heart of the universe is a steady, insistent beat, the sound of cycles in sync. Along the tidal rivers of Malaysia, thousands of fireflies congregate and flash in unison; the moon spins in perfect resonance with its orbit around the earth; our hearts depend on the synchronous firing of ten thousand pacemaker cells. While the forces that synchronize the flashing of fireflies may seem to have nothing to do with our heart cells, there is in fact a deep connection. Synchrony is a science in its infancy, and Strogatz is a pioneer in this new frontier in which mathematicians and physicists attempt to pinpoint just how spontaneous order emerges from chaos. From underground caves in Texas where a French scientist spent six months alone tracking his sleep-wake cycle, to the home of a Dutch physicist who in 1665 discovered two of his pendulum clocks swinging in perfect time, this fascinating book spans disciplines, continents, and centuries. Engagingly written for readers of books such as Chaos and The Elegant Universe, Sync is a tour-de-force of nonfiction writing.

Poetry of the Universe

Author: Robert Osserman

Publisher: Anchor

ISBN: 0307790584

Category: Science

Page: 224

View: 930

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In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.

Design in Nature

How the Constructal Law Governs Evolution in Biology, Physics, Technology, and Social Organizations

Author: Adrian Bejan,J. Peder Zane

Publisher: Anchor

ISBN: 0307744345

Category: Science

Page: 296

View: 2519

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Reveals how recurring patterns in nature are accounted for by a single governing principle of physics, explaining how all designs in the world from biological life to inanimate systems evolve in a sequence of ever-improving designs that facilitate flow.

Our Mathematical Universe

My Quest for the Ultimate Nature of Reality

Author: Max Tegmark

Publisher: Vintage

ISBN: 038535049X

Category: Science

Page: 432

View: 786

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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.

Patterns of the Universe

A Coloring Adventure in Math and Beauty

Author: Alex Bellos,Edmund Harriss

Publisher: The Experiment

ISBN: 1615193235

Category: Games & Activities

Page: 144

View: 2730

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"A coloring book that reveals math's hidden beauty and contemplative power as never before with 78 coloring designs and games that explore symmetry, fractals, tessellations, randomness, and more."--

Patterns in Nature

Why the Natural World Looks the Way It Does

Author: Philip Ball

Publisher: University of Chicago Press

ISBN: 022633256X

Category: Nature

Page: 288

View: 6658

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Though at first glance the natural world may appear overwhelming in its diversity and complexity, there are regularities running through it, from the hexagons of a honeycomb to the spirals of a seashell and the branching veins of a leaf. Revealing the order at the foundation of the seemingly chaotic natural world, Patterns in Nature explores not only the math and science but also the beauty and artistry behind nature’s awe-inspiring designs. Unlike the patterns we create in technology, architecture, and art, natural patterns are formed spontaneously from the forces that act in the physical world. Very often the same types of pattern and form – spirals, stripes, branches, and fractals, say—recur in places that seem to have nothing in common, as when the markings of a zebra mimic the ripples in windblown sand. That’s because, as Patterns in Nature shows, at the most basic level these patterns can often be described using the same mathematical and physical principles: there is a surprising underlying unity in the kaleidoscope of the natural world. Richly illustrated with 250 color photographs and anchored by accessible and insightful chapters by esteemed science writer Philip Ball, Patterns in Nature reveals the organization at work in vast and ancient forests, powerful rivers, massing clouds, and coastlines carved out by the sea. By exploring similarities such as those between a snail shell and the swirling stars of a galaxy, or the branches of a tree and those of a river network, this spectacular visual tour conveys the wonder, beauty, and richness of natural pattern formation.

The Glass Universe

How the Ladies of the Harvard Observatory Took the Measure of the Stars

Author: Dava Sobel

Publisher: Penguin

ISBN: 069814869X

Category: Science

Page: 336

View: 2372

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New from #1 New York Times bestselling author Dava Sobel, the "inspiring" (People), little-known true story of women's landmark contributions to astronomy "A joy to read.” —The Wall Street Journal Named one of the best books of the year by NPR, The Economist, Smithsonian, Nature, and NPR's Science Friday Nominated for the PEN/E.O. Wilson Literary Science Writing Award In the mid-nineteenth century, the Harvard College Observatory began employing women as calculators, or “human computers,” to interpret the observations their male counterparts made via telescope each night. At the outset this group included the wives, sisters, and daughters of the resident astronomers, but soon the female corps included graduates of the new women's colleges—Vassar, Wellesley, and Smith. As photography transformed the practice of astronomy, the ladies turned from computation to studying the stars captured nightly on glass photographic plates. The “glass universe” of half a million plates that Harvard amassed over the ensuing decades—through the generous support of Mrs. Anna Palmer Draper, the widow of a pioneer in stellar photography—enabled the women to make extraordinary discoveries that attracted worldwide acclaim. They helped discern what stars were made of, divided the stars into meaningful categories for further research, and found a way to measure distances across space by starlight. Their ranks included Williamina Fleming, a Scottish woman originally hired as a maid who went on to identify ten novae and more than three hundred variable stars; Annie Jump Cannon, who designed a stellar classification system that was adopted by astronomers the world over and is still in use; and Dr. Cecilia Helena Payne, who in 1956 became the first ever woman professor of astronomy at Harvard—and Harvard’s first female department chair. Elegantly written and enriched by excerpts from letters, diaries, and memoirs, The Glass Universe is the hidden history of the women whose contributions to the burgeoning field of astronomy forever changed our understanding of the stars and our place in the universe.

The open secret

a new vision for natural theology

Author: Alister E. McGrath

Publisher: Wiley-Blackwell

ISBN: N.A

Category: Nature

Page: 372

View: 4625

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Natural theology, in the view of many, is in crisis. In this long-awaited book, Alister McGrath sets out a new vision for natural theology, re-establishing its legitimacy and utility. A timely and innovative resource on natural theology: the exploration of knowledge of God as it is observed through nature Written by internationally regarded theologian and author of numerous bestselling books, Alister McGrath Develops an intellectually rigorous vision of natural theology as a point of convergence between the Christian faith, the arts and literature, and the natural sciences, opening up important possibilities for dialogue and cross-fertilization Treats natural theology as a cultural phenomenon, broader than Christianity itself yet always possessing a distinctively Christian embodiment Explores topics including beauty, goodness, truth, and the theological imagination; how investigating nature gives rise to both theological and scientific theories; the idea of a distinctively Christian approach to nature; and how natural theology can function as a bridge between Christianity and other faiths

Mathematics and Culture in Europe

Mathematics in Art, Technology, Cinema, and Theatre

Author: M. Manaresi

Publisher: Springer

ISBN: N.A

Category: Mathematics

Page: 405

View: 866

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Predicated on the notion that mathematics has been a growing source of aesthetic inspiration in culture, this volume celebrates where the two intermesh. It is a meditation on the performances and cultural events, all mathematics-related, performed in Bologna in 2004, is dedicated to all those who are curious about mathematics, but also more generally about theatre, cinema, literature, arts and science. Thanks to the DVD, one can readers can relive various events through the voices and the images of the participants.

Professor Stewart's Incredible Numbers

Author: Ian Stewart

Publisher: Basic Books

ISBN: 0465042716

Category: Mathematics

Page: 352

View: 3287

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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.

The Pattern Book

Fractals, Art, and Nature

Author: Clifford A. Pickover

Publisher: World Scientific

ISBN: 9789810214265

Category: Computers

Page: 427

View: 1963

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Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.


Mathematics and culture V

Author: Michele Emmer

Publisher: Springer Verlag

ISBN: 9783540342779

Category: Mathematics

Page: 269

View: 5691

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This volume of the "Mathematics and Culture" series is dedicated to Italian artist Armando Pizzicato. The work of Pollock is also discussed, thanks to the collaboration of the Venice Guggenheim Collection. Mathematics creates beauty in architecture, from topology to the projects of Gehry and Piano to the muqarnas of Islam. The fourth dimension is made visible in these pages.But mathematics can save lives as well. Mathematical models can fight against cancer and AIDS, prevent their spread and intervene in their cure.Mathematics can also be used to protect the environment. In the wake of the devastation caused by Hurricane Katrina, the discussion of the use of mathematical models in meteorology and the prediction of storms is particularly timely. This volume wouldn't be complete without Venice and its glass, the fantastic collection of murrine of Giovanni Sarpellon.There is even a bit of magic, thanks to Bustric. And finally, an homage to a great mathematician: H.S.M. "Donald" Coxeter.