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How Not to Be Wrong: The Power of Mathematical Thinking, by Jordan Ellenberg
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*Starred Review* How many home runs can fans expect a league leader to hit after the All Star break? Why is the most handsome man around often the rudest? By exploring questions such as these, Ellenberg breaks through the widespread perception of mathematics as a narrowly academic pursuit, hopelessly irrelevant to the lives of ordinary people. Readers will indeed marvel at how often mathematics sheds unexpected light on economics (assessing the performance of investment advisors), public health (predicting the likely prevalence of obesity in 30 years), and politics (explaining why wealthy individuals vote Republican but affluent states go for Democrats). Relying on remarkably few technical formulas, Ellenberg writes with humor and verve as he repeatedly demonstrates that mathematics simply extends common sense. He manages to translate even the work of theoretical pioneers such as Cantor and Gödel into the language of intelligent amateurs. The surprises that await readers include not only a discovery of the astonishing versatility of mathematical thinking but also a realization of its very real limits. Mathematics, as it turns out, simply cannot resolve the real-world ambiguities surrounding the Bush-Gore cliff-hanger of 2000, nor can it resolve the much larger question of God’s existence. A bracing encounter with mathematics that matters. --Bryce Christensen
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The New York Times:“Lively prose….Refreshingly lucid while still remaining conceptually rigorous, this book lends insight into how mathematicians think — and shows us how we can start to think like mathematicians as well.”Manil Suri, The Washington Post:“Brilliantly engaging.... Ellenberg’s talent for finding real-life situations that enshrine mathematical principles would be the envy of any math teacher. He presents these in fluid succession, like courses in a fine restaurant, taking care to make each insight shine through, unencumbered by jargon or notation. Part of the sheer intellectual joy of the book is watching the author leap nimbly from topic to topic, comparing slime molds to the Bush-Gore Florida vote, criminology to Beethoven’s Ninth Symphony. The final effect is of one enormous mosaic unified by mathematics.”Mario Livio, The Wall Street Journal:“Easy-to-follow, humorously presented.... This book will help you to avoid the pitfalls that result from not having the right tools. It will help you realize that mathematical reasoning permeates our lives—that it can be, as Mr. Ellenberg writes, a kind of 'X-ray specs that reveal hidden structures underneath the messy and chaotic surface of the world.'”Evelyn Lamb, Scientific American:“Witty, compelling, and just plain fun to read.... How Not to Be Wrong can help you explore your mathematical superpowers.”Laura Miller, Salon:“A poet-mathematician offers an empowering and entertaining primer for the age of Big Data.... A rewarding popular math book for just about anyone.”Nature:“Mathematicians from Charles Lutwidge Dodgson to Steven Strogatz have celebrated the power of mathematics in life and the imagination. In this hugely enjoyable exploration of everyday maths as 'an atomic-powered prosthesis that you attach to your common sense', Jordan Ellenberg joins their ranks. Ellenberg, an academic and Slate’s ‘Do the Math’ columnist, explains key principles with erudite gusto—whether poking holes in predictions of a US 'obesity apocalypse', or unpicking an attempt by psychologist B. F. Skinner to prove statistically that Shakespeare was a dud at alliteration.”Bloomberg View:“If you have a vacation coming up in August and you’re looking for a fun book to read that will also enlighten you, it would be hard to beat Jordan Ellenberg’s How Not to Be Wrong: The Power of Mathematical Thinking.”Times Higher Education:“A fresh application of complex mathematical thinking to commonplace events.... How Not to Be Wrong is beautifully written, holding the reader’s attention throughout with well-chosen material, illuminating exposition, wit and helpful examples. I am reminded of the great writer of recreational mathematics, Martin Gardner: Ellenberg shares Gardner’s remarkable ability to write clearly and entertainingly, bringing in deep mathematical ideas without the reader registering their difficulty.”Kirkus Reviews:“The author avoids heavy jargon and relies on real-world anecdotes and basic equations and illustrations to communicate how even simple math is a powerful tool….[Ellenberg]writes that, at its core, math is a special thing and produces a feeling of understanding unattainable elsewhere: ‘You feel you’ve reached into the universe’s guts and put your hand on the wire.’ Math is profound, and profoundly awesome, so we should use it well—or risk being wrong….Witty and expansive, Ellenberg’s math will leave readers informed, intrigued and armed with plenty of impressive conversation starters.”Booklist:“Readers will indeed marvel at how often mathematics sheds unexpected light on economics (assessing the performance of investment advisors), public health (predicting the likely prevalence of obesity in 30 years), and politics (explaining why wealthy individuals vote Republican but affluent states go for Democrats). Relying on remarkably few technical formulas, Ellenberg writes with humor and verve as he repeatedly demonstrates that mathematics simply extends common sense. He manages to translate even the work of theoretical pioneers such as Cantor and Gödel into the language of intelligent amateurs. The surprises that await readers include not only a discovery of the astonishing versatility of mathematical thinking but also a realization of its very real limits. Mathematics, as it turns out, simply cannot resolve the real-world ambiguities surrounding the Bush-Gore cliff-hanger of 2000, nor can it resolve the much larger question of God’s existence. A bracing encounter with mathematics that matters.”Steven Pinker, Johnstone Family Professor of Psychology, Harvard University; author of How the Mind Works:“The title of this wonderful book explains what it adds to the honorable genre of popular writing on mathematics. Like Lewis Carroll, George Gamow, and Martin Gardner before him, Jordan Ellenberg shows how mathematics can delight and stimulate the mind. But he also shows that mathematical thinking should be in the toolkit of every thoughtful person—of everyone who wants to avoid fallacies, superstitions, and other ways of being wrong.”Steven Strogatz, Schurman Professor of Applied Mathematics, Cornell University, and author, The Joy of x:“With math as with anything else, there’s smart, and then there’s street smart. This book will help you be both. Fans of Freakonomics and The Signal and the Noise will love Ellenberg’s surprising stories, snappy writing, and brilliant lessons in numerical savvy. How Not to Be Wrong is sharp, funny, and right.”John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper:“Through a powerful mathematical lens Jordan Ellenberg engagingly examines real-world issues ranging from the fetishizing of straight lines in the reporting of obesity to the game theory of missing flights, from the relevance to digestion of regression to the mean to the counter-intuitive Berkson’s paradox, which may explain why handsome men don’t seem to be as nice as not so handsome ones. The coverage is broad, but not shallow and the exposition is non-technical and sprightly.”Timothy Gowers:“Jordan Ellenberg is a top mathematician and a wonderful expositor, and the theme of his book is important and timely. How Not to Be Wrong is destined to be a classic.”Rebecca Newberger Goldstein, author of Plato at the Googleplex:“Jordan Ellenberg promises to share ways of thinking that are both simple to grasp and profound in their implications, and he delivers in spades. These beautifully readable pages delight and enlighten in equal parts. Those who already love math will eat it up, and those who don’t yet know how lovable math is are in for a most pleasurable surprise."Danica McKellar, actress and bestselling author of Math Doesn’t Suck and Kiss My Math:"Brilliant and fascinating! Ellenberg shows his readers how to magnify common sense using the tools usually only accessible to those who have studied higher mathematics. I highly recommend it to anyone interested in expanding their worldly savviness—and math IQ!"
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Product details
Hardcover: 480 pages
Publisher: Penguin Press (May 29, 2014)
Language: English
ISBN-10: 1594205221
ISBN-13: 978-1594205224
Product Dimensions:
6.4 x 1.1 x 9.6 inches
Shipping Weight: 1.6 pounds (View shipping rates and policies)
Average Customer Review:
4.2 out of 5 stars
527 customer reviews
Amazon Best Sellers Rank:
#45,472 in Books (See Top 100 in Books)
I’ve been working on this one for a long time. How Not to Be Wrong was a hard book for me — a mental boot-camp in which I spent about six months groaning with the weight of one concept, only be handed two more. The fact that I finally made it to the end of the book, a gasping, sweaty, much improved human being, is down entirely to Jordan Ellenberg’s supreme skill as a teacher.How Not to Be Wrong shunts the reader smoothly and with refreshing humor between geometry, military history, computer science, politics, statistics, gambling, medicine, morality, and philosophy. I emerged at the end shaking with not only a wealth of new information about all these stops on the rail, but with the conviction than now I know what they’re for. Science doesn’t tell you what you ought to believe; it tells you what you ought to do. We don’t vote to determine the best leader; we vote to give everyone an excuse to continue not committing crimes. The best way to treat your most cherished beliefs is by attempting to disprove them.I know that all sounds like nonsense, but I honestly can’t think of a more concise or convincing way to talk about Ellenberg’s insights than the book that he wrote. Start with plotting a line, and end with the reason you get up in the morning.
I really enjoy this genre of books. I am an engineer and have often been disappointed with most adult Americans who are not well educated is basic everyday mathematics-oriented life. Probabilities and statistics are elementary needs if one is to understand today's world. Even Newspapers such as the Washington Post, the New York Times, Atlanta Constitution, LA Times, and many more run articles that are missing data to support their positions. Where are the editorial staffs? Well-written, valuable book.
I bought this book to be used in addition to my college coursework. This book's explanations and examples helped reinforce what I had learned in class by applying the lessons to real world scenarios. For example, my stats professors like to test our knowledge by asking us about the results of some random study; we look at the numbers from the study and decide whether or not they are valid. In our final exam, one question involved a study that attempted to predict how many goals a hockey player was able to make in a given season. I remembered Ellenberg's explanation of "the hot hand" in the NBA and I was able to grind the hockey study into dust. I not only aced the exam, but my professor wrote an email saying that no student had dissected this study so thoroughly. I also passed one of our hardest homework assignments by successfully arguing that the study we had performed was "torturing the data", and we did not really have significant results. All of this information was before the half-way point of the book. There's so much more to learn.I recently graduated, and I still listen to this audio book because the information is so rich and varied. It's a really easy way to keep your general skills sharp. This books isn't full of numbers and symbols, so I wouldn't recommend it for people who need to learn the actual math.
This book is a revelation...remarkably informative and well written. Given today's broad range of choices for self-improvement activities, reading "How Not to be Wrong" will not disappoint. You may not loose weight, increase your memory or learn to speak Mandarin, but you will learn how to better judge the claims made by those who would promise such benefits, and much, much more. Such a treasure should never be ignored. Quick! Get a copy and see the world around you, from election results to sports stats to claims of medical benefits, in a new and richer light. But be forewarned: you may find yourself glancing through your college math texts again!
As someone who took a lot of math courses in college (not always doing very well, but always being intrigued), this book was absolutely in my wheelhouse and even better, it was more engaging than many novels that I've read. I was constantly chuckling and snickering at the many revelations and stories that were shared. I thought the majority of it was easy to understand (perhaps not always easy to accept) but I suspect some will lack the self confidence to read it - I hope these folks are not put off. At the end he has a brief section on the many people who abandon mathematics because they think they are not "gifted" or "genius" enough, and pleads the case that we all need to be mathematicians. So I guess I am exonerated. There are several stories of people who pursued a question for their life, only to have it advanced by the next generation. So interesting that many of these questions arose from real world questions and concerns and not so much from abstract noodling.I agree to an extent with some reviews that for a serious mathematician who might read textbooks, this isn't as systematic and direct as it might be, but on the other hand, I thought the writing was among the best and most engaging for non-fiction that I've seen. If you might fit in this picture and are willing to open up your imagination a bit, I think you'll find this book as entertaining and enlightening as I did.
There are a few books I've read over the years that have changed how I see the world, and/or provided me with lots of entertainment.Some of those titles include:* Influence by Robert Cialdini* Thinking Fast, and Slow* Algorithms to Live By* The Obstacle is the Way* Mastery by Robert Greene* Moonwalking with Einsteinetc.These titles aren't directly related to this book, but they're just books I enjoy, and now this book is among them.I particularly enjoy when a book is packed with information that has you saying "whoa" at every page turn. If it can also entertain me, then even better. This book did both!
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