The grand opening of the Roman Colosseum. A British attack on Boston in 1776 that wasn’t supposed to happen.Doctor John Campbell, an archaeology professor at a community college, has led an ordinary life, a boring life, until the purchase of an old desk at a local flea market turns out to be an extraordinary find. A desk that once belonged to one of the most brilliant and frightening minds in the history of science. Hidden inside is a device that no one except the long dead scientist has ever seen. This discovery sparks a chain of events that sends Campbell on an amazing adventure that spans centuries, but Campbell’s journey quickly becomes more than he bargained for and the consequences could have dire effects on time itself.

    Most of the time this math works quietly behind the scenes . . . until it doesn't. All sorts of seemingly innocuous mathematical mistakes can have significant consequences.Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean.Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

     Carl Sagan is considered one of the greatest scientific minds of our time. His remarkable ability to explain science in terms easily understandable to the layman in bestselling books such as Cosmos, The Dragons of Eden, and The Demon-Haunted World won him a Pulitzer Prize and placed him firmly next to Isaac Asimov, Stephen Jay Gould, and Oliver Sachs as one of the most important and enduring communicators of science. In December 2006 it will be the tenth anniversary of Sagan's death, and Ann Druyan, his widow and longtime collaborator, will mark the occasion by releasing Sagan's famous "Gifford Lectures in Natural Theology," The Varieties of Scientific Experience: A Personal View of the Search for God. The chance to give the Gifford Lectures is an honor reserved for the most distinguished scientists and philosophers of our civilization. In 1985, on the grand occasion of the centennial of the lectureship, Carl Sagan was invited to give them. He took the opportunity to set down in detail his thoughts on the relationship between religion and science as well as to describe his own personal search to understand the nature of the sacred in the vastness of the cosmos. The Varieties of Scientific Experience, edited, updated and with an introduction by Ann Druyan, is a bit like eavesdropping on a delightfully intimate conversation with the late great astronomer and astrophysicist. In his charmingly down-to-earth voice, Sagan easily discusses his views on topics ranging from manic depression and the possibly chemical nature of transcendance to creationism and so-called intelligent design to the likelihood of intelligent life on other planets to the likelihood of nuclear annihilation of our own to a new concept of science as "informed worship." Exhibiting a breadth of intellect nothing short of astounding, he illuminates his explanations with examples from cosmology, physics, philosophy, literature, psychology, cultural anthropology, mythology, theology, and more. Sagan's humorous, wise, and at times stunningly prophetic observations on some of the greatest mysteries of the cosmos have the invigorating effect of stimulating the intellect, exciting the imagination, and reawakening us to the grandeur of life in the cosmos.

    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.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    One island, two unique societies (Norse and Inuit). Only one of these societies would succeed--the other would fail. But how? With his trademark accessibility and comprehensiveness, Diamond documents how environmental damage, climate change, loss of friendly contacts and the rise of hostile ones, and the unique political, economic, and social settings of prehistoric Greenland combine to demonstrate exactly why and how societies choose to fail or succeed. Jared Diamond's latest book, "The World Until Yesterday: What Can We Learn from Traditional Societies?," is available from Viking.

    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.

    Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.

    The book also goes beyond chronology to wrestle with the political and ethical struggles that have shaped the IDF and the country it serves—struggles that are manifesting themselves in the recent tragic escalation of the Palestinian-Israeli conflict. Often revisionist in attitude, surprising in many of its conclusions, this book casts new light on the struggle for peace in the Middle East.

    However, such critiques imply that though intelligence tests may miss certain key noncognitive areas, they encompass most of what is important in the cognitive domain. In this book, Keith E. Stanovich challenges this widely held assumption.Stanovich shows that IQ tests (or their proxies, such as the SAT) are radically incomplete as measures of cognitive functioning. They fail to assess traits that most people associate with “good thinking,” skills such as judgment and decision making. Such cognitive skills are crucial to real-world behavior, affecting the way we plan, evaluate critical evidence, judge risks and probabilities, and make effective decisions. IQ tests fail to assess these skills of rational thought, even though they are measurable cognitive processes. Rational thought is just as important as intelligence, Stanovich argues, and it should be valued as highly as the abilities currently measured on intelligence tests.

    In the past, discoveries often had to wait for the rise of the next generation to see questions in a new light and let go of old truisms. Today, in a world that is defined by a rapid rate of change, staying on the cutting edge has as much to do with shedding outdated notions as adopting new ones. In this spirit, John Brockman, publisher of the online salon Edge.org ("the world's smartest website"—The Guardian), asked 175 of the world's most influential scientists, economists, artists, and philosophers: What scientific idea is ready for retirement?Jared Diamond explores the diverse ways that new ideas emerge * Nassim Nicholas Taleb takes down the standard deviation * Richard Thaler and novelist Ian McEwan reveal the usefulness of "bad" ideas * Steven Pinker dismantles the working theory of human behavior * Richard Dawkins renounces essentialism * Sherry Turkle reevaluates our expectations of artificial intelligence * Physicist Andrei Linde suggests that our universe and its laws may not be as unique as we think * Martin Rees explains why scientific understanding is a limitless goal * Alan Guth rethinks the origins of the universe * Sam Harris argues that our definition of science is too narrow * Nobel Prize winner Frank Wilczek disputes the division between mind and matter * Lawrence Krauss challenges the notion that the laws of physics were preordained * plus contributions from Daniel Goleman, Mihaly Csikszentmihalyi, Nicholas Carr, Rebecca Newberger Goldstein, Matt Ridley, Stewart Brand, Sean Carroll, Daniel C. Dennett, Helen Fisher, Douglas Rushkoff, Lee Smolin, Kevin Kelly, Freeman Dyson, and others.

    Through more than fifty Koans—pleasingly paradoxical vignettes following the ancient Zen tradition—leading physicist Anthony Aguirre takes the reader across the world from West to East, and through ideas spanning the age, breadth, and depth of the Universe.Using these beguiling Koans (Could there be a civilization on a mote of dust? How much of your fate have you made? Who cleans the universe?) and a flair for explaining complex science, Aguirre covers cosmic questions that scientific giants from Aristotle to Galileo to Heisenberg have grappled with, from the meaning of quantum theory and the nature of time to the origin of multiple universes.A playful and enlightening book, Cosmological Koans explores the strange hinterland between the deep structure of the physical world and our personal experience of it, giving readers what Einstein himself called “the most beautiful and deepest experience” anyone can have: a sense of the mysterious.

    It is often rational to act against our own best interests, he argues, and most of us have moralviews that are self-defeating. We often act wrongly, although we know there will be no one with serious grounds for complaint, and when we consider future generations it is very hard to avoid conclusions that most of us will find very disturbing.

    Scientists are confident that there is alien life across the universe yet we have not moved beyond our perception of 'aliens' as Hollywood stereotypes. The time has come to abandon our fixation on alien monsters and place our expectations on solid scientific footing.Using his own expert understanding of life on Earth and Darwin's theory of evolution - which applies throughout the universe - Cambridge zoologist Dr Arik Kershenbaum explains what alien life must be like: how these creatures will move, socialise and communicate.For example, by observing fishes whose electrical pulses indicate social status, we can see that other planets might allow for communication by electricity. As there was evolutionary pressure to wriggle along a sea floor, Earthling animals tend to have left/right symmetry; on planets where creatures evolved mid-air or in soupy tar they might be lacking any symmetry at all.Might there be an alien planet with supersonic animals? Will they scream with fear, act honestly, or have technology? Is the universe swarming with robots? Dr Kershenbaum uses cutting-edge science to paint an entertaining and compelling picture of extra-terrestrial life.The Zoologist's Guide to the Galaxy is the story of how life really works, on Earth and in space.***'If you don't want to be surprised by extraterrestrial life, look no further than this lively overview of the laws of evolution that have produced life on earth' - Frans de Waal, author of Mama's Last Hug - Animal Emotions and What They Tell Us about Ourselves'A fun, and thoroughly biological, exploration of possible and impossible alien beings. If you'd love to know what real aliens from other planets might really be like, this is the book for you' - Susan Blackmore, author of Seeing Myself'Surveying the deep-time of evolution on Earth and his own cutting-edge research into animal communication, Kershenbaum provides a fascinating insight into the deepest of questions: what might an alien actually look like'- Lewis Dartnell, author of Origins'Arik Kershenbaum takes us on a joyous voyage of animal diversity and illustrates the singular importance of natural selection in explaining life - here on Earth - and what will likely be discovered throughout the galaxy. A stimulating read!' - Daniel T. Blumstein, Professor of Ecology and Evolutionary Biology, University of California Los Angeles

    Each chapter opens with a surprising insight—not a mathematic formula, but a common observation. From there, the authors leapfrog over math and anecdote toward profound ideas about nature, art, and music. Coincidences is a book for lovers of puzzles and posers of outlandish questions, lapsed math aficionados and the formula-phobic alike.