Making Up The Numbers

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Making up Numbers: A History of Invention in Mathematics

Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp

Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Making Numbers Count

Author : Chip Heath
Publisher : Simon and Schuster
ISBN 13 : 1982165456
Total Pages : 208 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Making Numbers Count by : Chip Heath

Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Making up the Numbers

Author : Dan Boyle
Publisher : The History Press
ISBN 13 : 0750985348
Total Pages : 357 pages
Book Rating : 4.7/5 (59 download)

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Book Synopsis Making up the Numbers by : Dan Boyle

Download or read book Making up the Numbers written by Dan Boyle and published by The History Press. This book was released on 2017-10-02 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time when global politics is being reshaped, the accountability of those we put in power has never been more vital. In Making Up the Numbers, Dan Boyle, former chairman of the Green Party, applies his first-hand experience of non-traditional politics in Ireland to assess the role of minor parties in government and in coalition. This book is an essential contribution to our understanding of the ‘others’ vote in Irish politics.

Numbers and the Making of Us

Author : Caleb Everett
Publisher : Harvard University Press
ISBN 13 : 0674504437
Total Pages : 308 pages
Book Rating : 4.6/5 (745 download)

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Book Synopsis Numbers and the Making of Us by : Caleb Everett

Download or read book Numbers and the Making of Us written by Caleb Everett and published by Harvard University Press. This book was released on 2017-03-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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

Simple Numbers, Straight Talk, Big Profits!

Author : Gregory Burges Crabtree
Publisher :
ISBN 13 : 9780989645232
Total Pages : 0 pages
Book Rating : 4.6/5 (452 download)

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Book Synopsis Simple Numbers, Straight Talk, Big Profits! by : Gregory Burges Crabtree

Download or read book Simple Numbers, Straight Talk, Big Profits! written by Gregory Burges Crabtree and published by . This book was released on 2014-04-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple Numbers can guide you to increased business profitability Take the mystery out of small business finance with this no-frills guide to understanding the numbers that will guide your business out of any financial black hole. Author Greg Crabtree, a successful accountant, small business advisor, and popular presenter, shows you how to use your firm's key financial indicators as a basis for smart business decisions as you grow your firm from startup to $5 million (and, more ) in annual revenue. Jargon free, and presented in an easy-to-follow, step-by-step format, with plenty of real-world examples, Crabtree's down-to-earth discussion highlights the most common financial errors committed by small businesses, and how to avoid them. You'll be fascinated to learn: Why your numbers are lying to you (and why you are the cause ) How labor productivity is the key to profitability and simplifying human resource decisions Why the amount of tax you pay is your #1 key performance indicator Take advantage of Crabtree's years of experience teaching clients how to build successful businesses by ''seeing beyond numbers'' with this step-by-step guide to increasing your businesses profitability.

How to Make the World Add Up

Author : Tim Harford
Publisher : Abacus
ISBN 13 : 9780349143866
Total Pages : 352 pages
Book Rating : 4.1/5 (438 download)

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Book Synopsis How to Make the World Add Up by : Tim Harford

Download or read book How to Make the World Add Up written by Tim Harford and published by Abacus. This book was released on 2021-05-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Factfulness meets How to Be Right in this major new book from globally bestselling economist Tim Harford 'Tim Harford is our most likeable champion of reason and rigour... clear, clever and always highly readable' Times Books of the Year 'If you aren't in love with stats before reading this book, you will be by the time you're done. Powerful, persuasive, and in these truth-defying times, indispensable' Caroline Criado Perez, author of Invisible Women 'Nobody makes the statistics of everyday life more fascinating and enjoyable than Tim Harford' Bill Bryson 'Fabulously readable, lucid, witty and authoritative . . . Every politician and journalist should be made to read this book, but everyone else will get so much pleasure and draw so much strength from the joyful way it dispels the clouds of deceit and delusion' Stephen Fry 'Wise, humane and, above all, illuminating. Nobody is better on statistics and numbers - and how to make sense of them' Matthew Syed THE SUNDAY TIMES BUSINESS BESTSELLER When was the last time you read a grand statement, accompanied by a large number, and wondered whether it could really be true? Statistics are vital in helping us tell stories - we see them in the papers, on social media, and we hear them used in everyday conversation - and yet we doubt them more than ever. But numbers - in the right hands - have the power to change the world for the better. Contrary to popular belief, good statistics are not a trick, although they are a kind of magic. Good statistics are not smoke and mirrors; in fact, they help us see more clearly. Good statistics are like a telescope for an astronomer, a microscope for a bacteriologist, or an X-ray for a radiologist. If we are willing to let them, good statistics help us see things about the world around us and about ourselves - both large and small - that we would not be able to see in any other way. In How to Make the World Add Up, Tim Harford draws on his experience as both an economist and presenter of the BBC's radio show 'More or Less'. He takes us deep into the world of disinformation and obfuscation, bad research and misplaced motivation to find those priceless jewels of data and analysis that make communicating with numbers worthwhile. Harford's characters range from the art forger who conned the Nazis to the stripper who fell in love with the most powerful congressman in Washington, to famous data detectives such as John Maynard Keynes, Daniel Kahneman and Florence Nightingale. He reveals how we can evaluate the claims that surround us with confidence, curiosity and a healthy level of scepticism. Using ten simple rules for understanding numbers - plus one golden rule - this extraordinarily insightful book shows how if we keep our wits about us, thinking carefully about the way numbers are sourced and presented, we can look around us and see with crystal clarity how the world adds up.

Radical Uncertainty: Decision-Making Beyond the Numbers

Author : John Kay
Publisher : W. W. Norton & Company
ISBN 13 : 1324004789
Total Pages : 407 pages
Book Rating : 4.3/5 (24 download)

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Book Synopsis Radical Uncertainty: Decision-Making Beyond the Numbers by : John Kay

Download or read book Radical Uncertainty: Decision-Making Beyond the Numbers written by John Kay and published by W. W. Norton & Company. This book was released on 2020-03-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much economic advice is bogus quantification, warn two leading experts in this essential book, now with a preface on COVID-19. Invented numbers offer a false sense of security; we need instead robust narratives that give us the confidence to manage uncertainty. “An elegant and careful guide to thinking about personal and social economics, especially in a time of uncertainty. The timing is impeccable." — Christine Kenneally, New York Times Book Review Some uncertainties are resolvable. The insurance industry’s actuarial tables and the gambler’s roulette wheel both yield to the tools of probability theory. Most situations in life, however, involve a deeper kind of uncertainty, a radical uncertainty for which historical data provide no useful guidance to future outcomes. Radical uncertainty concerns events whose determinants are insufficiently understood for probabilities to be known or forecasting possible. Before President Barack Obama made the fateful decision to send in the Navy Seals, his advisers offered him wildly divergent estimates of the odds that Osama bin Laden would be in the Abbottabad compound. In 2000, no one—not least Steve Jobs—knew what a smartphone was; how could anyone have predicted how many would be sold in 2020? And financial advisers who confidently provide the information required in the standard retirement planning package—what will interest rates, the cost of living, and your state of health be in 2050?—demonstrate only that their advice is worthless. The limits of certainty demonstrate the power of human judgment over artificial intelligence. In most critical decisions there can be no forecasts or probability distributions on which we might sensibly rely. Instead of inventing numbers to fill the gaps in our knowledge, we should adopt business, political, and personal strategies that will be robust to alternative futures and resilient to unpredictable events. Within the security of such a robust and resilient reference narrative, uncertainty can be embraced, because it is the source of creativity, excitement, and profit.

Making Numbers Count

Author : Chip Heath
Publisher : Simon and Schuster
ISBN 13 : 1982165448
Total Pages : 208 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Making Numbers Count by : Chip Heath

Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Understanding numbers is essential -- but humans aren't built to understand them. Chip Heath 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!" 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."--

Making Sense of Numbers

Author : Jane E. Miller
Publisher : SAGE Publications
ISBN 13 : 1544355629
Total Pages : 609 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Making Sense of Numbers by : Jane E. Miller

Download or read book Making Sense of Numbers written by Jane E. Miller and published by SAGE Publications. This book was released on 2021-08-23 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making Sense of Numbers teaches students the skills they need to be both consumers and producers of quantitative research: able to read about, collect, calculate, and communicate numeric information for both everyday tasks and school or work assignments. Jane E. Miller uses annotated examples on a wide variety of topics to illustrate how to use new terms, concepts, and approaches to working with numbers.

The Crayons' Book of Numbers

Author : Drew Daywalt
Publisher : Penguin
ISBN 13 : 0515157880
Total Pages : 11 pages
Book Rating : 4.5/5 (151 download)

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Book Synopsis The Crayons' Book of Numbers by : Drew Daywalt

Download or read book The Crayons' Book of Numbers written by Drew Daywalt and published by Penguin. This book was released on 2016-10-18 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Counting is as easy as 1... 2... purple?... in this charming book of numbers from the creators of the #1 New York Times Best Sellers, The Day the Crayons Quit and The Day the Crayons Came Home. Poor Duncan can't catch a break! First, his crayons go on strike. Then, they come back home. Now his favorite colors are missing once again! Can you count up all the crayons that are missing from his box? From the creative minds behind the The Day the Crayons Quit and The Day the Crayons Came Home comes a colorful board book introducing young readers to numbers.

The Making of Tests for Index Numbers

Author : Arthur Vogt
Publisher : Springer Science & Business Media
ISBN 13 : 366213179X
Total Pages : 227 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Making of Tests for Index Numbers by : Arthur Vogt

Download or read book The Making of Tests for Index Numbers written by Arthur Vogt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arthur Vogt has devoted a great deal of his scientific efforts to both person and work of Irving Fisher. This book, written with Jànos Barta, gives an excellent impression of Fisher's great contributions to the theory of the price index on the one hand. On the other hand, it continues Fisher's work on this subject along the lines which several authors drew with respect to price index theory since Fisher's death fifty years ago. "This is a highly instructive book on both the history and theory of measurement in economics. It is rather a rich source of interesting properties of more or less well known indices and famous men, especially Irving Fisher, than a precise mathematical text on the axiomatic foundations of indices." (From the Foreword by Wolfgang Eichhorn)

Popular Educator

Author :
Publisher :
ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Popular Educator by :

Download or read book Popular Educator written by and published by . This book was released on 1925 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Annual Meeting

Author : National Association of Dental Examiners (U.S.)
Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.:/5 (25 download)

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Book Synopsis Proceedings of the Annual Meeting by : National Association of Dental Examiners (U.S.)

Download or read book Proceedings of the Annual Meeting written by National Association of Dental Examiners (U.S.) and published by . This book was released on 1902 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Really Big Numbers

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
ISBN 13 : 1470414252
Total Pages : 194 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Really Big Numbers by : Richard Evan Schwartz

Download or read book Really Big Numbers written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2014-06-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.

The Parliamentary Debates (official Report).

Author : Great Britain. Parliament. House of Commons
Publisher :
ISBN 13 :
Total Pages : 1444 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis The Parliamentary Debates (official Report). by : Great Britain. Parliament. House of Commons

Download or read book The Parliamentary Debates (official Report). written by Great Britain. Parliament. House of Commons and published by . This book was released on 1914 with total page 1444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the 4th session of the 28th Parliament through the 1st session of the 48th Parliament.

A Shilling Arithmetic Designed for the Use of Elementary Schools

Author : John William Colenso
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.V/5 ( download)

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Book Synopsis A Shilling Arithmetic Designed for the Use of Elementary Schools by : John William Colenso

Download or read book A Shilling Arithmetic Designed for the Use of Elementary Schools written by John William Colenso and published by . This book was released on 1875 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Making Numbers

Author : Rose Griffiths
Publisher :
ISBN 13 : 9780198375616
Total Pages : 112 pages
Book Rating : 4.3/5 (756 download)

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Book Synopsis Making Numbers by : Rose Griffiths

Download or read book Making Numbers written by Rose Griffiths and published by . This book was released on 2016-09-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making Numbers shares exemplars of good practice drawing on the latest research on using manipulatives to develop understanding of arithmetic. Focusing initially on the teaching of numbers from 1-12, Making Numbers progresses to 200 and beyond, including ideas for teaching partitioning, arrays, and times tables.