Five Equations That Changed the World


Michael Guillen - 1995
    Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery. Dr. Michael Guillen is Instructor of Physics and Mathematics in the Core Curriculum Program at Harvard University.

In Pursuit of the Unknown: 17 Equations That Changed the World


Ian Stewart - 2012
    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

Mathematics: The Loss of Certainty


Morris Kline - 1980
    Mathematics: The Loss of Certainty refutes that myth.

Math Riddles For Smart Kids: Math Riddles and Brain Teasers that Kids and Families will Love


M. Prefontaine - 2017
    It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book

Just Six Numbers: The Deep Forces That Shape the Universe


Martin J. Rees - 1999
    There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.

The World Treasury of Physics, Astronomy & Mathematics from Albert Einstein to Stephen W. Hawking & from Annie Dillard to John Updike


Timothy Ferris - 1991
    Each expresses a perspective on the Sciences.

Einstein's Dice and Schrödinger's Cat: How Two Great Minds Battled Quantum Randomness to Create a Unified Theory of Physics


Paul Halpern - 2015
    Einstein famously quipped that God does not play dice with the universe, and Schrödinger is equally well known for his thought experiment about the cat in the box who ends up “spread out” in a probabilistic state, neither wholly alive nor wholly dead. Both of these famous images arose from these two men’s dissatisfaction with quantum weirdness and with their assertion that underneath it all, there must be some essentially deterministic world. Even though it was Einstein’s own theories that made quantum mechanics possible, both he and Schrödinger could not bear the idea that the universe was, at its most fundamental level, random.As the Second World War raged, both men struggled to produce a theory that would describe in full the universe’s ultimate design, first as collaborators, then as competitors. They both ultimately failed in their search for a Grand Unified Theory—not only because quantum mechanics is true, but because Einstein and Schrödinger were also missing a key component: of the four forces we recognize today (gravity, electromagnetism, the weak force, and the strong force), only gravity and electromagnetism were known at the time.Despite their failures, though, much of modern physics remains focused on the search for a Grand Unified Theory. As Halpern explains, the recent discovery of the Higgs Boson makes the Standard Model—the closest thing we have to a unified theory—nearly complete. And while Einstein and Schrödinger tried and failed to explain everything in the cosmos through pure geometry, the development of string theory has, in its own quantum way, brought this idea back into vogue. As in so many things, even when he was wrong, Einstein couldn’t help but be right.

Brilliant Blunders: From Darwin to Einstein - Colossal Mistakes by Great Scientists That Changed Our Understanding of Life and the Universe


Mario Livio - 2013
    Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

The Hour: Sporting immortality the hard way


Michael Hutchinson - 2006
    It's the only cycling record that matters: one man and his bike against the clock in a quest for pure speed. No teammates, no rivals, no tactics, no gears, no brakes. Just one simple question - in sixty minutes, how far can you go?Michael Hutchinson had a plan. He was going to add his name to the list of record-holders, cycling's supermen. But how does a man who became a professional athlete by accident achieve sporting immortality? It didn't sound too hard. All he needed was a couple of hand-tooled bike frames, the most expensive wheels money could buy, a support team of crack professionals, a small pot of glue, and a credit card wired to someone else's bank account. Still, getting the glue wasn't a problem...Michael Hutchinson became a full-time cyclist in 2000 after becoming disillusioned with an academic career. Over the following six years he has won more than twenty national titles, and the gold medal in the Masters' Pursuit World Championships. He is now a writer and journalist (and cyclist) and lives in south London.

Billions & Billions: Thoughts on Life and Death at the Brink of the Millennium


Carl Sagan - 1997
    These luminous, entertaining essays travel both the vastness of the cosmos and the intimacy of the human mind, posing such fascinating questions as how did the universe originate and how will it end, and how can we meld science and compassion to meet the challenges of the coming century? Here, too, is a rare, private glimpse of Sagan's thoughts about love, death, and God as he struggled with fatal disease. Ever forward-looking and vibrant with the sparkle of his unquenchable curiosity, Billions & Billions is a testament to one of the great scientific minds of our day.

The God Particle: If the Universe Is the Answer, What Is the Question?


Leon M. Lederman - 1993
    The book takes us from the Greeks' earliest scientific observations through Einstein and beyond in an inspiring celebration of human curiosity. It ends with the quest for the Higgs boson, nicknamed the God Particle, which scientists hypothesize will help unlock the last secrets of the subatomic universe. With a new preface by Lederman, The God Particle will leave you marveling at our continuing pursuit of the infinitesimal.

Big Bang: The Origin of the Universe


Simon Singh - 2004
    In this amazingly comprehensible history of the universe, Simon Singh decodes the mystery behind the Big Bang theory, lading us through the development of one of the most extraordinary, important, and awe-inspiring theories in science.

The Quantum Brain: The Search for Freedom and the Next Generation of Man


Jeffrey Satinover - 2001
    To answer them, psychiatrist, researcher, and critically acclaimed author Jeffrey Satinover first explores the latest discoveries in neuroscience, modern physics, and radically new kinds of computing, then shows how, together, they suggest the brain embodies and amplifies the mysterious laws of quantum physics. By its doing so, Satinover argues we are elevated above the mere learning machines modern science assumes us to be. Satinover also makes two provocative predictions: We will soon construct artificial devices as free and aware as we are; as well as begin a startling re-evaluation of just who and what we are, of our place in the universe, and perhaps even of God.

They Might Be Giants' Flood (33 1/3)


S. Alexander Reed - 2013
    Neither the band’s hip origins in the Lower East Side scene nor Flood’s platinum certification can cover up the record's singular importance at the geek fringes of culture.Flood’s significance to this audience helps us understand a certain way of being: it shows that geek identity doesn’t depend on references to Hobbits or Spock ears, but can instead be a set of creative and interpretive practices marked by playful excess—a flood of ideas. The album also clarifies an historical moment. The brainy sort of kids who listened to They Might Be Giants saw their own cultural options grow explosively during the late 1980s and early 1990s amid the early tech boom and America’s advancing leftist social tides. Whether or not it was the band's intention, Flood’s jubilant proclamation of an identity unconcerned with coolness found an ideal audience at an ideal turning point. This book tells the story.

In Hoffa's Shadow: A Stepfather, a Disappearance in Detroit, and My Search for the Truth


Jack Goldsmith - 2019
    . . a monumental achievement." —James Rosen, The Wall Street JournalAs a young man, Jack Goldsmith revered his stepfather, longtime Jimmy Hoffa associate Chuckie O’Brien. But as he grew older and pursued a career in law and government, he came to doubt and distance himself from the man long suspected by the FBI of perpetrating Hoffa’s disappearance on behalf of the mob. It was only years later, when Goldsmith was serving as assistant attorney general in the George W. Bush administration and questioning its misuse of surveillance and other powers, that he began to reconsider his stepfather, and to understand Hoffa’s true legacy.In Hoffa’s Shadow tells the moving story of how Goldsmith reunited with the stepfather he’d disowned and then set out to unravel one of the twentieth century’s most persistent mysteries and Chuckie’s role in it. Along the way, Goldsmith explores Hoffa’s rise and fall and why the golden age of blue-collar America came to an end, while also casting new light on the century-old surveillance state, the architects of Hoffa’s disappearance, and the heartrending complexities of love and loyalty.