What's the Use?: How Mathematics Shapes Everyday Life

by Ian Stewart

Overview

See the world in a completely new way as an esteemed mathematician shows how math powers the world—from technology to health care and beyond.
 
Almost all of us have sat in a math class, wondering when we'd ever need to know how to find the roots of a polynomial or graph imaginary numbers. And in one sense, we were right: if we needed to, we'd use a computer. But as Ian Stewart argues in What's the Use?, math isn't just about boring computations. Rather, it offers us new and profound insights into our world, allowing us to accomplish feats as significant as space exploration and organ donation. From the trigonometry that keeps a satellite in orbit to the prime numbers used by the world's most advanced security systems to the imaginary numbers that enable augmented reality, math isn't just relevant to our lives. It is the very fabric of our existence.

Product Details

ISBN-13:	9781541699489
Publisher:	Basic Books
Publication date:	08/17/2021
Pages:	336
Sales rank:	372,656
Product dimensions:	9.30(w) x 5.70(h) x 1.30(d)

About the Author

Ian Stewart is Emeritus Professor of Mathematics at the University of Warwick. He is the accessible and successful (and prolific) author of numerous Basic books on mathematics including, most recently, Calculating the Cosmos. Stewart is also a regular research visitor at the University of Houston, the Institute of Mathematics and Its Applications in Minneapolis, and the Santa Fe Institute. He was elected a Fellow of the Royal Society in 2001. His writing has appeared in New Scientist, Discover, Scientific American, and many newspapers in the U.K. and U.S. He lives in Coventry, England.

Table of Contents

1 Unreasonable Effectiveness 1

2 How Politicians Pick Their Voters 12

3 Let the Pigeon Drive the Bus 40

4 The Kidneys of Königsberg 71

5 Stay Safe in Cyberspace 95

6 The Number Plane 126

7 Papa, Can You Multiply Triplets? 151

8 Boing! 177

9 Trust Me, I'm a Transform 195

10 Smile, Please! 215

11 Are We Nearly There Yet? 234

12 De-Ising the Arctic 249

13 Call the Topologist 269

14 The Fox and the Hedgehog 288

Notes 299

Picture Credits 309

Index 311

Editorial Reviews

05/24/2021

“It would be easy to conclude that mathematics has become outdated,” but modern life would “fall apart” without it, argues mathematician Stewart (Does God Play Dice) in this straightforward survey. With 13 examples that cover movie animation, internet traffic, medicine, photography, and navigation apps, Stewart explains the ways math makes modern life possible. He ties the math of airline routing to the classic “traveling salesman problem” (a way to make a route the most efficient), and explains that GPS users employ Einstein’s theory of relativity each time they plan a trip. Graph theory, meanwhile, is used to match organ donors with recipients, and computer-generated imagery is built on 175-year-old math. He also describes how various mathematical concepts were developed, which, taken together, provide a thumbnail history of mathematics. Stewart goes incredibly deep into the difficult math that informs his examples, a choice that will undoubtedly stretch even the most mathematically inclined readers (pseudorandom number generators, he writes, are “generally based on abstract algebra, such as polynomials over finite fields, or number theory, such as integers to some modulus”). But those who stay the course will find that Stewart succeeds in conveying his wonder at the power math has to shape the world. (Aug.)

Publishers Weekly

Reading this book is like being empowered with special x-ray vision that lets you see the math whirring away at the heart of vital technologies all around. It takes you time-traveling too, showing how the “pure” math of the past has found its way astonishingly often into present-day marvels, from helping the FBI match fingerprints by computer to guiding organ donations to enabling posthumous appearances by Carrie Fisher in Star Wars movies. In short, it’s another Ian Stewart classic.”
 —David Stipp, author of A Most Elegant Equation

“Science enthusiasts will enjoy Ian Stewart’s discussion of mathematical results, originally devised to solve esoteric problems, that have surprising applications to our everyday lives.  From computer graphics to climate change to kidney donations, he reveals the “unreasonable effectiveness” of abstract mathematics in the service of science and technology – a service as important as it is improbable.”
 —William Dunham, author of Journey Through Genius

“Ian Stewart is math’s greatest ambassador. No other author writes with such ease, erudition and depth of understanding across such a wide range of mathematical fields.”
 —Alex Bellos, author of Here’s Looking at Euclid

“If you believe mathematics offers little of practical use, Stewart is back to show you the error of your ways...Richly informative."—Kirkus

From the Publisher

2021-06-16
If you believe mathematics offers little of practical use, Stewart is back to show you the error of your ways.

In the latest of his numerous books on his favorite subject, the acclaimed mathematics popularizer writes for an audience prepared to pay attention to ingenious yet undoubtedly complex insights. He begins by pointing out that scientists and engineers depend on math, but this is no less true of politicians. “One of the curious features of democracy,” he writes, “is that politicians who claim to be devoted to the idea that decisions should be made by ‘the People’ regularly go out of their way to ensure that this doesn’t happen.” Most readers know about gerrymandering, but this turns out to be the tip of the iceberg as Stewart describes many other ways to pervert voting, all revealed and disproved by mathematics. The author then moves on to the larger question of election fairness. America’s winner-takes-all system seems reasonable, but if one candidate is defeated, 100% of his or her supporter’s votes are wasted. In nations with proportional voting systems, minority voters elect a minority of representatives, so their votes are not wasted. This is fairer—in some ways. In fact, mathematicians have proven that a completely fair voting system is impossible. “Dictatorships are so much simpler,” writes Stewart. “One dictator, one vote.” Regarding our most pressing contemporary issue, climate change, Stewart explains that physicists have found that the growth of melting ponds over Arctic ice bears a striking resemblance to other phase transitions, and sea levels are rising faster than predicted. In other sections, the author offers the revealing (but not simple) explanation of the mathematical background of a GPS system, explains the data compression that vastly increases a computer’s power, and delves into the genuinely weird: how a puzzle with no solution—proven by a great mathematician—increases the ease of kidney transplantation.

Richly informative for careful readers who enjoy math.

Kirkus Reviews