In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

    

    I just wish I had known all of this twelve years ago...'When you speak to the likes of Dylan Wiliam, Doug Lemov, Daisy Christodoulou, Kris Boulton and the Bjorks, you are bound to learn a thing or two. But when he started his Mr Barton Maths Podcast, Craig Barton wasn't expecting to have his whole outlook on teaching and learning turned upside down. How I Wish I'd Taught Maths is the story of an experienced and successful maths teacher's journey into the world of research, and what it looks like in the classroom.Along the way we meet practical, easy-to-implement strategies including Supercharged Worked Examples, Silent Teacher, SSDD problems, low-stakes quizzes, diagnostic questions, Purposeful Practice, self-explanations, harnessing the power of the hypercorrection effect, how to (and how not to) teach problem-solving and much more. No matter your experience, teaching style or favourite number, every maths teacher will find something to think about in this book.

    At nine he started working on an original theory in astrophysics that experts believe may someday put him in line for a Nobel Prize, and at age twelve he became a paid researcher in quantum physics. But the story of Kristine’s journey with Jake is all the more remarkable because his extraordinary mind was almost lost to autism. At age two, when Jake was diagnosed, Kristine was told he might never be able to tie his own shoes. The Spark is a remarkable memoir of mother and son. Surrounded by “experts” at home and in special ed who tried to focus on Jake’s most basic skills and curtail his distracting interests—moving shadows on the wall, stars, plaid patterns on sofa fabric—Jake made no progress, withdrew more and more into his own world, and eventually stopped talking completely. Kristine knew in her heart that she had to make a change. Against the advice of her husband, Michael, and the developmental specialists, Kristine followed her instincts, pulled Jake out of special ed, and began preparing him for mainstream kindergarten on her own. Relying on the insights she developed at the daycare center she runs out of the garage in her home, Kristine resolved to follow Jacob’s “spark”—his passionate interests. Why concentrate on what he couldn’t do? Why not focus on what he could? This basic philosophy, along with her belief in the power of ordinary childhood experiences (softball, picnics, s’mores around the campfire) and the importance of play, helped Kristine overcome huge odds. The Barnetts were not wealthy people, and in addition to financial hardship, Kristine herself faced serious health issues. But through hard work and determination on behalf of Jake and his two younger brothers, as well as an undying faith in their community, friends, and family, Kristine and Michael prevailed. The results were beyond anything anyone could have imagined. Dramatic, inspiring, and transformative, The Spark is about the power of love and courage in the face of overwhelming obstacles, and the dazzling possibilities that can occur when we learn how to tap the true potential that lies within every child, and in all of us.

    For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.

    Nothing is impossible when one digs deep,and looks at students through a new lens.

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index

    Packed with math activities and puzzles, compelling stories of math geniuses, math facts and stats, and more, How to be a Math Genius makes the dreaded subject of math both engaging and relevant.

    Born in 1908, in The Patch, Chicago, Giancana joined the Forty-Two gang of lawless juvenile punks in 1921 and quickly proved himself as a skilled 'wheel man' (or getaway driver), extortionist and vicious killer. Called up to the ranks of the Outfit, he reputedly held talks with the CIA about assassinating Fidel Castro, shared a girlfriend with John F. Kennedy and had friends in high places, including Sammy Davis Jr., Frank Sinatra, Shirley MacLaine, Marilyn Monroe and, some say, the Kennedys, although he fell out with them.The story of Sam Giancana will overturn many of your beliefs about America during the Kennedy era. If you want to know Giancana's role in the brother's deaths, and more of the intrigue surrounding that of Marilyn Monroe, this book will fill you in on the murky lives of many shady characters who really ruled the day, both in Chicago and elsewhere.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    Packed with practical, evidence-based advice, it is the indispensable guide to raising a girl who is happy and confident in herself.Free of parental guilt and grounded in research, Raising Girls Who Like Themselves is imbued with the warmth and wit of a mum and dad who are in the same parenting trenches as you, fighting for their daughters’ futures.

    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    Far beyond simply being a sports league, the NBA has become an entertainment and pop culture juggernaut. From all kinds of team logo merchandise to officially branded video games and players crossing over into reality television, film, fashion lines, and more, there is an inseparable line between sports and entertainment. But only four decades ago, this would have been unthinkable. Featuring writing that leaps off the page with energy and wit, journalist and basketball fan Pete Croatto takes us behind the scenes to the meetings that lead to the monumental American Basketball Association–National Basketball Association merger in 1976, revolutionizing the NBA’s image. He pays homage to legendary talents including Julius “Dr. J” Erving, Magic Johnson, and Michael Jordan and reveals how two polar-opposite rookies, Larry Bird and Magic Johnson, led game attendance to skyrocket and racial lines to dissolve. Croatto also dives into CBS’s personality-driven coverage of key players, as well as other cable television efforts, which launched NBA players into unprecedented celebrity status. Essential reading whether you’re a casual or longtime fan, From Hang Time to Prime Time is an enthralling and entertaining celebration of basketball history.

    He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of FiveThirtyEight.com. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data. Most predictions fail, often at great cost to society, because most of us have a poor understanding of probability and uncertainty. Both experts and laypeople mistake more confident predictions for more accurate ones. But overconfidence is often the reason for failure. If our appreciation of uncertainty improves, our predictions can get better too. This is the "prediction paradox": The more humility we have about our ability to make predictions, the more successful we can be in planning for the future.In keeping with his own aim to seek truth from data, Silver visits the most successful forecasters in a range of areas, from hurricanes to baseball, from the poker table to the stock market, from Capitol Hill to the NBA. He explains and evaluates how these forecasters think and what bonds they share. What lies behind their success? Are they good-or just lucky? What patterns have they unraveled? And are their forecasts really right? He explores unanticipated commonalities and exposes unexpected juxtapositions. And sometimes, it is not so much how good a prediction is in an absolute sense that matters but how good it is relative to the competition. In other cases, prediction is still a very rudimentary-and dangerous-science.Silver observes that the most accurate forecasters tend to have a superior command of probability, and they tend to be both humble and hardworking. They distinguish the predictable from the unpredictable, and they notice a thousand little details that lead them closer to the truth. Because of their appreciation of probability, they can distinguish the signal from the noise.