How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics


Eugenia Cheng - 2015
    Of course, it’s not all cooking; we’ll also run the New York and Chicago marathons, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of a tomato’s identity as a vegetable. This is not the math of our high school classes: mathematics, Cheng shows us, is less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.At the heart of How to Bake Pi is Cheng’s work on category theory—a cutting-edge “mathematics of mathematics.” Cheng combines her theory work with her enthusiasm for cooking both to shed new light on the fundamentals of mathematics and to give readers a tour of a vast territory no popular book on math has explored before. Lively, funny, and clear, How to Bake Pi will dazzle the initiated while amusing and enlightening even the most hardened math-phobe.

The Rules of Contagion: Why Things Spread - and Why They Stop


Adam Kucharski - 2020
    But how does virality actually work? In The Rules of Contagion, epidemiologist Adam Kucharski explores topics including gun violence, online manipulation, and, of course, outbreaks of disease to show how much we get wrong about contagion, and how astonishing the real science is.Why did the president retweet a Mussolini quote as his own? Why do financial bubbles take off so quickly? And why are disinformation campaigns so effective? By uncovering the crucial factors driving outbreaks, we can see how things really spread -- and what we can do about it.Whether you are an author seeking an audience, a defender of truth, or simply someone interested in human social behavior, The Rules of Contagion is an essential guide to modern life.

The Eerie Silence: Renewing Our Search for Alien Intelligence


Paul C.W. Davies - 2010
    Thus began one of the boldest scientific projects in history, the Search for Extraterrestrial Intelligence (SETI). But after a half century of scanning the skies, astronomers have little to report but an eerie silence—eerie because many scientists are convinced that the universe is teeming with life. The problem, argues the leading physicist-astrobiologist Paul Davies, is that we’ve been looking in the wrong place, at the wrong time & in the wrong way. Davies should know. For more than three decades, he's been closely involved with SETI & now chairs its Post-Detection Taskgroup, charged with deciding what to do if we’re confronted with evidence of alien intelligence. In this extraordinary book, he shows how SETI has lost its edge & offers a new exciting road map for the future. Davies believes our search so far has been overly anthropocentric: we tend to assume an alien species will look, think & behave like us. He argues that we need to be far more expansive in our efforts, & in this book he completely redefines the search, challenging existing ideas of what form an alien intelligence might take, how it might try to communicate with us & how we should respond if it does. A provocative & mind-expanding journey, The Eerie Silence will thrill fans of science & science fiction alike.

The Universe in Your Hand: A Journey Through Space, Time, and Beyond


Christophe Galfard - 2015
    Frizzle were a physics student of Stephen Hawking, she might have written THE UNIVERSE IN YOUR HAND, a wild tour through the reaches of time and space, from the interior of a proton to the Big Bang to the rough suburbs of a black hole. It's friendly, excitable, erudite, and cosmic."—Jordan Ellenberg, New York Times besteselling author of How Not To Be WrongQuantum physics, black holes, string theory, the Big Bang, dark matter, dark energy, parallel universes: even if we are interested in these fundamental concepts of our world, their language is the language of math. Which means that despite our best intentions of finally grasping, say, Einstein's Theory of General Relativity, most of us are quickly brought up short by a snarl of nasty equations or an incomprehensible graph.Christophe Galfard's mission in life is to spread modern scientific ideas to the general public in entertaining ways. Using his considerable skills as a brilliant theoretical physicist and successful young adult author, The Universe in Your Hand employs the immediacy of simple, direct language to show us, not explain to us, the theories that underpin everything we know about our universe. To understand what happens to a dying star, we are asked to picture ourselves floating in space in front of it. To get acquainted with the quantum world, we are shrunk to the size of an atom and then taken on a journey. Employing everyday similes and metaphors, addressing the reader directly, and writing stories rather than equations renders these astoundingly complex ideas in an immediate and visceral way.Utterly captivating and entirely unique, The Universe in Your Hand will find its place among other classics in the field.

The Clockwork Universe: Isaac Newton, the Royal Society, and the Birth of the Modern World


Edward Dolnick - 2011
    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.

The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives


Kit Yates - 2019
    But for those of us who left math behind in high school, the numbers and figures hurled at us as we go about our days can sometimes leave us scratching our heads and feeling as if we’re fumbling through a mathematical minefield. In this eye-opening and extraordinarily accessible book, mathemati­cian Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a fascinating tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, medical screening results, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.

Factfulness: Ten Reasons We're Wrong About the World – and Why Things Are Better Than You Think


Hans Rosling - 2018
    So wrong that a chimpanzee choosing answers at random will consistently outguess teachers, journalists, Nobel laureates, and investment bankers.In Factfulness, Professor of International Health and global TED phenomenon Hans Rosling, together with his two long-time collaborators, Anna and Ola, offers a radical new explanation of why this happens. They reveal the ten instincts that distort our perspective—from our tendency to divide the world into two camps (usually some version of us and them) to the way we consume media (where fear rules) to how we perceive progress (believing that most things are getting worse).Our problem is that we don’t know what we don’t know, and even our guesses are informed by unconscious and predictable biases.It turns out that the world, for all its imperfections, is in a much better state than we might think. That doesn’t mean there aren’t real concerns. But when we worry about everything all the time instead of embracing a worldview based on facts, we can lose our ability to focus on the things that threaten us most.Inspiring and revelatory, filled with lively anecdotes and moving stories, Factfulness is an urgent and essential book that will change the way you see the world and empower you to respond to the crises and opportunities of the future.

Birth of a Theorem: A Mathematical Adventure


Cédric Villani - 2012
    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

The Case for Mars


Robert Zubrin - 1996
    The planet most like ours, it has still been thought impossible to reach, let alone explore and inhabit.Now with the advent of a revolutionary new plan, all this has changed. leading space exploration authority Robert Zubrin has crafted a daring new blueprint, Mars Direct, presented here with illustrations, photographs, and engaging anecdotes.The Case for Mars is not a vision for the far future or one that will cost us impossible billions. It explains step-by-step how we can use present-day technology to send humans to Mars within ten years; actually produce fuel and oxygen on the planet's surface with Martian natural resources; how we can build bases and settlements; and how we can one day "terraform" Mars--a process that can alter the atmosphere of planets and pave the way for sustainable life.

Uncertainty: Einstein, Heisenberg, Bohr, and the Struggle for the Soul of Science


David Lindley - 2007
    Heisenberg’s principle implied that scientific quantities/concepts do not have absolute, independent meaning, but acquire meaning only in terms of the experiments used to measure them. This proposition, undermining the cherished belief that science could reveal the physical world with limitless detail and precision, placed Heisenberg in direct opposition to the revered Albert Einstein. The eminent scientist Niels Bohr, Heisenberg’s mentor and Einstein’s long-time friend, found himself caught between the two.Uncertainty chronicles the birth and evolution of one of the most significant findings in the history of science, and portrays the clash of ideas and personalities it provoked. Einstein was emotionally as well as intellectually determined to prove the uncertainty principle false. Heisenberg represented a new generation of physicists who believed that quantum theory overthrew the old certainties; confident of his reasoning, Heisenberg dismissed Einstein’s objections. Bohr understood that Heisenberg was correct, but he also recognized the vital necessity of gaining Einstein’s support as the world faced the shocking implications of Heisenberg’s principle.

How to Invent Everything: A Survival Guide for the Stranded Time Traveler


Ryan North - 2018
    . . and then broke? How would you survive? Could you improve on humanity's original timeline? And how hard would it be to domesticate a giant wombat? With this book as your guide, you'll survive--and thrive--in any period in Earth's history. Bestselling author and time-travel enthusiast Ryan North shows you how to invent all the modern conveniences we take for granted--from first principles. This illustrated manual contains all the science, engineering, art, philosophy, facts, and figures required for even the most clueless time traveler to build a civilization from the ground up. Deeply researched, irreverent, and significantly more fun than being eaten by a saber-toothed tiger, How to Invent Everything will make you smarter, more competent, and completely prepared to become the most important and influential person ever.

The Book of Why: The New Science of Cause and Effect


Judea Pearl - 2018
    Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

How to Solve It: A New Aspect of Mathematical Method


George Pólya - 1944
    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

The Man Who Knew Infinity: A Life of the Genius Ramanujan


Robert Kanigel - 1991
    Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader.

This Explains Everything: Deep, Beautiful, and Elegant Theories of How the World Works


John BrockmanSean Carroll - 2013
    Why do we recognize patterns? Is there such a thing as positive stress? Are we genetically programmed to be in conflict with each other? Those are just some of the 150 questions that the world's best scientific minds answer with elegant simplicity.With contributions from Jared Diamond, Richard Dawkins, Nassim Taleb, Brian Eno, Steven Pinker, and more, everything is explained in fun, uncomplicated terms that make the most complex concepts easy to comprehend.