Employing an irresistible cast of dragon-riding Vikings, lizard-throwing giants, and feuding aliens, the renowned illustrator Grady Klein and the award-winning statistician Alan Dabney teach you how to collect reliable data, make confident statements based on limited information, and judge the usefulness of polls and the other numbers that you're bombarded with every day. If you want to go beyond the basics, they've created the ultimate resource: "The Math Cave," where they reveal the more advanced formulas and concepts.Timely, authoritative, and hilarious, The Cartoon Introduction to Statistics is an essential guide for anyone who wants to better navigate our data-driven world.

    Big and informative, "The New York Times Book of Mathematics" gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, famous problems, cryptography, computers, and many other topics. Edited by Pulitzer Prize finalist and senior "Times" writer Gina Kolata, and featuring renowned contributors such as James Gleick, William L. Laurence, Malcolm W. Browne, George Johnson, and John Markoff, it's a must-have for any math and science enthusiast!

    We take for granted that we can remember, feel emotion, navigate, empathize, and understand the world around us, but how would our lives change if these abilities were dramatically enhanced--or disappeared overnight?Helen Thomson has spent years traveling the world, tracking down incredibly rare brain disorders. In Unthinkable she tells the stories of nine extraordinary people she encountered along the way. From the man who thinks he's a tiger to the doctor who feels the pain of others just by looking at them to a woman who hears music that’s not there, their experiences illustrate how the brain can shape our lives in unexpected and, in some cases, brilliant and alarming ways.Story by remarkable story, Unthinkable takes us on an unforgettable journey through the human brain. Discover how to forge memories that never disappear, how to grow an alien limb, and how to make better decisions. Learn how to hallucinate and how to make yourself happier in a split second. Find out how to avoid getting lost, how to see more of your reality, even how exactly you can confirm you are alive. Think the unthinkable.

     Probable Impossibilities is a deeply engaged consideration of what we know of the universe, of life and the mind, and of things vastly larger and smaller than ourselves.

      Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders. In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Drawing on real world examples to introduce complex issues, he shows us how statistics can help us determine the luckiest passenger on the Titanic, whether a notorious serial killer could have been caught earlier, and if screening for ovarian cancer is beneficial. The Art of Statistics not only shows us how mathematicians have used statistical science to solve these problems -- it teaches us how we too can think like statisticians. We learn how to clarify our questions, assumptions, and expectations when approaching a problem, and -- perhaps even more importantly -- we learn how to responsibly interpret the answers we receive. Combining the incomparable insight of an expert with the playful enthusiasm of an aficionado, The Art of Statistics is the definitive guide to stats that every modern person needs.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

    Featuring topics from the Copernican Revolution to the mind-boggling theories of recent science, The Astronomy Book uses flowcharts, graphics, and illustrations to help clarify hard-to-grasp concepts and explain almost 100 big astronomical ideas. Covering the biographies of key astronomers through the ages such as Ptolemy, Galileo, Newton, Hubble, and Hawking, The Astronomy Book details their theories and discoveries in a user-friendly format to make the information accessible and easy to follow.Series Overview: Big Ideas Simply Explained series uses creative design and innovative graphics along with straightforward and engaging writing to make complex subjects easier to understand. With over 7 million copies worldwide sold to date, these award-winning books provide just the information needed for students, families, or anyone interested in concise, thought-provoking refreshers on a single subject.

    Then, in 2005, astronomer Mike Brown made the discovery of a lifetime: a tenth planet, Eris, slightly bigger than Pluto. But instead of its resulting in one more planet being added to our solar system, Brown’s find ignited a firestorm of controversy that riled the usually sedate world of astronomy and launched him into the public eye. The debate culminated in the demotion of Pluto from real planet to the newly coined category of “dwarf” planet. Suddenly Brown was receiving hate mail from schoolchildren and being bombarded by TV reporters—all because of the discovery he had spent years searching for and a lifetime dreaming about.Filled with both humor and drama, How I Killed Pluto and Why It Had It Coming is Mike Brown’s engaging first-person account of the most tumultuous year in modern astronomy—which he inadvertently caused. As it guides readers through important scientific concepts and inspires us to think more deeply about our place in the cosmos, it is also an entertaining and enlightening personal story: While Brown sought to expand our understanding of the vast nature of space, his own life was changed in the most immediate, human ways by love, birth, and death. A heartfelt and personal perspective on the demotion of everyone’s favorite farflung planet, How I Killed Pluto and Why It Had It Coming is the book for anyone, young or old, who has ever dreamed of exploring the universe—and who among us hasn’t?

    Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    Whether facing issues as public as a pandemic or as personal as having kids at home and fighting the urge to reach for the wine bottle every night, we are feeling overwhelmed and out of control. But in this timely book, Judson Brewer explains how to uproot anxiety at its source using brain-based techniques and small hacks accessible to anyone.We think of anxiety as everything from mild unease to full-blown panic. But it's also what drives the addictive behaviors and bad habits we use to cope (e.g. stress eating, procrastination, doom scrolling and social media). Plus, anxiety lives in a part of the brain that resists rational thought. So we get stuck in anxiety habit loops that we can't think our way out of or use willpower to overcome. Dr. Brewer teaches us map our brains to discover our triggers, defuse them with the simple but powerful practice of curiosity, and to train our brains using mindfulness and other practices that his lab has proven can work.Distilling more than 20 years of research and hands-on work with thousands of patients, including Olympic athletes and coaches, and leaders in government and business, Dr. Brewer has created a clear, solution-oriented program that anyone can use to feel better - no matter how anxious they feel.

    But with the unexpected death of her husband, her life became an empty, lightless space. Suddenly she was the single mother of two young boys, a widow at forty, clinging to three crumpled pages of instructions her husband had written for things like grocery shopping--things he had done while she did pioneering work as a planetary scientist at MIT. She became painfully conscious of her Asperger's, which before losing her husband had felt more like background noise. She felt, for the first time, alone in the universe.In this probing, invigoratingly honest memoir, Seager tells the story of how, as she stumblingly navigated the world of grief, she also kept looking for other worlds. She continues to develop groundbreaking projects, such as the Starshade, a sunflower-shaped instrument that, when launched into space, unfurls itself so as to block planet-obscuring starlight, and she takes solace in the alien beauty of exoplanets. At the same time, she discovers what feels every bit as wondrous: other people, reaching out across the space of her grief. Among them are the Widows of Concord, a group of women offering consolation and advice; and her beloved sons, Max and Alex. Most unexpected of all, there is another kind of one-in-a-billion match with an amateur astronomer.Equally attuned to the wonders of deep space and human connection, The Smallest Lights in the Universe is its own light in the dark.

    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

    So where is it? Well, for reasons this book makes crystal clear, that pill will never exist—but as a result of the research that’s gone into it, scientists in the last few years have learned more about how women’s sexuality works than we ever thought possible, and Come as You Are explains it all.The first lesson in this essential, transformative book by Dr. Emily Nagoski is that every woman has her own unique sexuality, like a fingerprint, and that women vary more than men in our anatomy, our sexual response mechanisms, and the way our bodies respond to the sexual world. So we never need to judge ourselves based on others’ experiences. Because women vary, and that’s normal.Second lesson: sex happens in a context. And all the complications of everyday life influence the context surrounding a woman’s arousal, desire, and orgasm. Cutting-edge research across multiple disciplines tells us that the most important factor for women in creating and sustaining a fulfilling sex life, is not what you do in bed or how you do it, but how you feel about it. Which means that stress, mood, trust, and body image are not peripheral factors in a woman’s sexual wellbeing; they are central to it. Once you understand these factors, and how to influence them, you can create for yourself better sex and more profound pleasure than you ever thought possible.And Emily Nagoski can prove it.