How Numbers Work

Author : New Scientist
Publisher : Nicholas Brealey
Page : 224 pages
File Size : 45,8 Mb
Release : 2018-05-01
Category : Mathematics
ISBN : 9781473670365

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How Numbers Work by New Scientist Pdf

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 p 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 square root of minus two and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed. And even some apparently common-or-garden integers such as 37 have special properties. Adventures In Mathematics takes a tour of this mind-blowing but beautiful world of numbers and the mathematical rules that connect them. Find out mathematicians' favourite numbers, and the ones they are afraid of (spoiler: it isn't 13). Discover the incredible connection between numbers and the rules of nature. And learn some amazing mathematical tricks that will keep you amused for hours.

Author : New Scientist
Publisher : John Murray
Page : 224 pages
File Size : 44,7 Mb
Release : 2018-03-21
Category : Mathematics
ISBN : 9781473629752

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How Numbers Work by New Scientist Pdf

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.

Author : Chip Heath,Karla Starr
Publisher : Simon and Schuster
Page : 208 pages
File Size : 49,9 Mb
Release : 2022-01-11
Category : Business & Economics
ISBN : 9781982165451

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Making Numbers Count by Chip Heath,Karla Starr Pdf

A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.

Author : Tim Glynne-Jones
Publisher : Arcturus Publishing
Page : 128 pages
File Size : 45,9 Mb
Release : 2011-06-30
Category : Mathematics
ISBN : 9781848584402

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The Book of Numbers by Tim Glynne-Jones Pdf

From zero to infinity, The Book of Numbers is a handy-sized volume which opens up a new realm of knowledge. Where else in one place could you find out how the illegal numbers racket worked, what makes some people see numbers as colours, why the standard US rail gauge exactly matches the axle width of an ancient Roman chariot, and the numerologic...

Author : Rudolf Taschner
Publisher : CRC Press
Page : 218 pages
File Size : 41,7 Mb
Release : 2007-05-31
Category : Mathematics
ISBN : 9781439865811

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Numbers at Work by Rudolf Taschner Pdf

Drawing primarily from historical examples, this book explains the tremendous role that numbers and, in particular, mathematics play in all aspects of our civilization and culture. The lively style and illustrative examples will engage the reader who wants to understand the many ways in which mathematics enables science, technology, art, music, pol

Author : New Scientist (Firm)
Publisher : Unknown
Page : 128 pages
File Size : 51,8 Mb
Release : 2018
Category : Electronic books
ISBN : 178684947X

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How Numbers Work by New Scientist (Firm) Pdf

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.

Author : Steck-Vaughn Company,Weatherly
Publisher : Unknown
Page : 148 pages
File Size : 41,7 Mb
Release : 2001-05
Category : Arithmetic
ISBN : 0739826182

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Working with Numbers Level B by Steck-Vaughn Company,Weatherly Pdf

Author : David Wells
Publisher : Penguin UK
Page : 235 pages
File Size : 47,9 Mb
Release : 1997-09-04
Category : Mathematics
ISBN : 9780141929408

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The Penguin Dictionary of Curious and Interesting Numbers by David Wells Pdf

Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.

Author : Charles Livingston,Paul S. Voakes
Publisher : Routledge
Page : 124 pages
File Size : 45,5 Mb
Release : 2005-05-06
Category : Language Arts & Disciplines
ISBN : 9781135605933

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Working With Numbers and Statistics by Charles Livingston,Paul S. Voakes Pdf

Working With Numbers and Statistics: A Handbook for Journalists will bolster math skills and improve math confidence for journalists at all skill levels. Authors Charles Livingston and Paul Voakes developed this resource book to improve journalistic writing and reporting, enabling journalists to: *make accurate, reliable computations, which in turn enables one to make relevant comparisons, put facts into perspective, and lend important context to stories; *recognize inaccurate presentations, whether willfully spun or just carelessly relayed; *ask appropriate questions about numerical matters; *translate complicated numbers for viewers and readers in ways they can readily understand; *understand computer-assisted reporting; and *write livelier, more precise pieces through the use of numbers. The math is presented in a journalistic context throughout, enabling readers to see how the procedures will come into play in their work. Working With Numbers and Statistics is designed as a reference work for journalism students developing their writing and reporting skills. It will also serve professionals as a useful tool to improve their understanding and use of numbers in news stories.

Author : Donald Ervin Knuth
Publisher : Addison-Wesley Professional
Page : 130 pages
File Size : 53,7 Mb
Release : 1974
Category : Computers
ISBN : 0201038129

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Surreal Numbers by Donald Ervin Knuth Pdf

Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness. The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gradually explore and build up Conway's number system, I have recorded their false starts and frustrations as well as their good ideas. I wanted to give a reasonably faithful portrayal of the important principles, techniques, joys, passions, and philosophy of mathematics, so I wrote the story as I was actually doing the research myself."... It is an astonishing feat of legerdemain. An empty hat rests on a table made of a few axioms of standard set theory. Conway waves two simple rules in the air, then reaches into almost nothing and pulls out an infinitely rich tapestry of numbers that form a real and closed field. Every real number is surrounded by a host of new numbers that lie closer to it than any other "real" value does. The system is truly "surreal." quoted from Martin Gardner, Mathematical Magic Show, pp. 16--19 Surreal Numbers, now in its 13th printing, will appeal to anyone who might enjoy an engaging dialogue on abstract mathematical ideas, and who might wish to experience how new mathematics is created. 0201038129B04062001

Author : Graham Flegg
Publisher : Courier Corporation
Page : 304 pages
File Size : 50,7 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486166513

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Numbers by Graham Flegg Pdf

Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." — Choice.

Author : D. Stein
Publisher : Harper Collins
Page : 320 pages
File Size : 52,9 Mb
Release : 2009-03-17
Category : Education
ISBN : 9780061828683

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How Math Explains the World by D. Stein Pdf

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.

Author : Caleb Everett
Publisher : Harvard University Press
Page : 308 pages
File Size : 48,5 Mb
Release : 2017-03-13
Category : Language Arts & Disciplines
ISBN : 9780674504431

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Numbers and the Making of Us by Caleb Everett Pdf

“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal

Author : G. Elliott Morris
Publisher : W. W. Norton & Company
Page : 175 pages
File Size : 53,6 Mb
Release : 2022-07-12
Category : Political Science
ISBN : 9780393866988

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Strength in Numbers: How Polls Work and Why We Need Them by G. Elliott Morris Pdf

An insightful exploration of political polling and a bold defense of its crucial role in a modern democracy. Public opinion polling is the ultimate democratic process; it gives every person an equal voice in letting elected leaders know what they need and want. But in the eyes of the public, polls today are tarnished. Recent election forecasts have routinely missed the mark and media coverage of polls has focused solely on their ability to predict winners and losers. Polls deserve better. In Strength in Numbers, data journalist G. Elliott Morris argues that the larger purpose of political polls is to improve democracy, not just predict elections. Whether used by interest groups, the press, or politicians, polling serves as a pipeline from the governed to the government, giving citizens influence they would otherwise lack. No one who believes in democracy can afford to give up on polls; they should commit, instead, to understanding them better. In a vibrant history of polling, Morris takes readers from the first semblance of data-gathering in the ancient world through to the development of modern-day scientific polling. He explains how the internet and “big data” have solved many challenges in polling—and created others. He covers the rise of polling aggregation and methods of election forecasting, reveals how data can be distorted and misrepresented, and demystifies the real uncertainty of polling. Candidly acknowledging where polls have gone wrong in the past, Morris charts a path for the industry’s future where it can truly work for the people. Persuasively argued and deeply researched, Strength in Numbers is an essential guide to understanding and embracing one of the most important and overlooked democratic institutions in the United States.

Author : Ian Stewart
Publisher : Unknown
Page : 224 pages
File Size : 52,6 Mb
Release : 2017-03-29
Category : Electronic
ISBN : 1782404716

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The Beauty of Numbers in Nature by Ian Stewart Pdf

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.