How Numbers Work
How Numbers Work

Author: New Scientist

Publisher: John Murray

Published: 2018-03-21

Total Pages: 224

ISBN-13: 1473629756

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Think of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIES New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

How Math Explains the World
How Math Explains the World

Author: D. Stein

Publisher: Harper Collins

Published: 2009-03-17

Total Pages: 320

ISBN-13: 0061828688

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In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

The Beauty of Numbers in Nature
The Beauty of Numbers in Nature

Author: Ian Stewart

Publisher:

Published: 2017-03-29

Total Pages: 224

ISBN-13: 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.

Rogerson's Book of Numbers
Rogerson's Book of Numbers

Author: Barnaby Rogerson

Publisher: Picador

Published: 2014-10-28

Total Pages: 291

ISBN-13: 1250058848

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THE STORIES BEHIND OUR ICONIC NUMBERS Rogerson's Book of Numbers is based on a numerical array of virtues, spiritual attributes, gods, devils, sacred cities, powers, calendars, heroes, saints, icons, and cultural symbols. It provides a dazzling mass of information for those intrigued by the many roles numbers play in folklore and popular culture, in music and poetry, and in the many religions, cultures, and belief systems of our world. The stories unfold from millions to zero: from the number of the beast (666) to the seven deadly sins; from the twelve signs of the zodiac to the four suits of a deck of cards. Along the way, author Barnaby Rogerson will show you why Genghis Khan built a city of 108 towers, how Dante forged his Divine Comedy on the number eleven, and why thirteen is so unlucky in the West whereas fourteen is the number to avoid in China.

Are Numbers Real?
Are Numbers Real?

Author: Brian Clegg

Publisher: Macmillan

Published: 2016-12-06

Total Pages: 303

ISBN-13: 1250081041

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Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.

Numbers
Numbers

Author: Tom Jackson

Publisher: Inside Mathematics

Published: 2017

Total Pages: 0

ISBN-13: 9781627950749

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One of the hardest questions that mathematics teachers have to answer is Why? Schoolroom sums are crucial in learning the awesome power of mathematics, but they are often a world away from how the knowledge is applied and where it came from. Numbers: How Counting Changed the World is there to fill that gap. Ages 9+

Number Theory in Mathematics Education
Number Theory in Mathematics Education

Author: Rina Zazkis

Publisher: Routledge

Published: 2012-10-12

Total Pages: 306

ISBN-13: 1136501436

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This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.