Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Over five decades, Star Trek's celebration of mankind's technical achievements and positive view of the future have earned it an enduring place in our global culture. Its scientific vision has also had a profound effect on the past thirty years of technological breakthroughs. Join William Shatner, the original captain of the Starship Enterprise, as he reveals how Star Trek has influenced and inspired some of our greatest scientific minds -- the people behind the future we will all share. In interviews with dozens of scientists we learn about the inventions that will revolutionise our lives and the discoveries that will make it truly possible to explore the last great frontier -- space. As one Nobel Laureate commented on being shown a wood and plastic model of the engine core from a Star Trek: The Next Generation starship: I'm working on that. From the technicalities of warp speed to real-life replicators to the likelihood of our being able to beam across continents, this always-informative book takes us on a fascinating and eye-opening voyage to

    But in the hands of author Hannah Holmes, it becomes a dazzling and mysterious force; Dust, we discover, built the planet we walk upon. And it tinkers with the weather and spices the air we breathe. Billions of tons of it rise annually into the air--the dust of deserts and forgotten kings mixing with volcanic ash, sea salt, leaf fragments, scales from butterfly wings, shreds of T-shirts, and fireplace soot. Eventually, though, all this dust must settle.The story of restless dust begins among exploding stars, then treks through the dinosaur beds of the Gobi Desert, drills into Antarctic glaciers, filters living dusts from the wind, and probes the dark underbelly of the living-room couch. Along the way, Holmes introduces a delightful cast of characters--the scientists who study dust. Some investigate its dark side: how it killed off dinosaurs and how its industrial descendents are killing us today. Others sample the shower of Saharan dust that nourishes Caribbean jungles, or venture into the microscopic jungle of the bedroom carpet. Like The Secret Life of Dust, however, all of them unveil the mayhem and magic wrought by little things.Hannah Holmes (Portland, ME) is a science and natural history writer for the Discovery Channel Online. Her freelance work has been widely published, appearing in the Los Angeles Times Magazine, the New York Times Magazine, Outside, Sierra, National Geographic Traveler, and Escape. Her broadcast work has been featured on Living on Earth and the Discovery Channel Online's Science Live.

    It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.

    As exciting as any action/adventure novel, this is actually the story of incredible individuals and engrossing tales behind the most profound, enduring mathematical theorems.Archimedes famously ran naked through the streets shouting, “Eureka, eureka!” after finding a method for measuring the volume of an irregular-shaped object. René Descartes was not only a great French mathematician, philosopher, physicist, and natural scientist; he was also an expert swordsman who traveled with European armies from town to town, dressed in green taffeta and accompanied by a valet. Georg Cantor grappled with mental illness as he explored the highly counterintuitive, bizarre properties of infinite sets and numbers. Emmy Noether struggled to find employment as she laid the mathematical groundwork for modern theoretical physics. And Alexander Grothendieck taught himself mathematics while interned in Nazi concentration camps, only to disappear into the Pyrenees at the zenith of his career.These are just a few stories recounted in this absorbing narrative. In probing the lives of the preeminent mathematicians in history, a Strange Wilderness will leave you entertained and enlightened, with a newfound appreciation of the tenacity, complexity, and brilliance of the mathematical genius.

    Admittedly real life wasn’t like that. But only, they argued, because we didn’t have enough data to be certain.Then the cracks began to appear. It proved impossible to predict exactly how three planets orbiting each other would move. Meteorologists discovered that the weather was truly chaotic – so dependent on small variations that it could never be predicted for more than a few days out. And the final nail in the coffin was quantum theory, showing that everything in the universe has probability at its heart.That gives human beings a problem. We understand the world through patterns. Randomness and probability will always be alien to us. But it’s time to plunge into this fascinating, shadowy world, because randomness crops up everywhere. Probability and statistics are the only way to get a grip on nature’s workings. They may even seal the fate of free will and predict how the universe will end.Forget Newton’s clockwork universe. Welcome to Dice World.

    To the public he is a figure of tragic dimensions - a brilliant scientist and author of the phenomenal best-seller A Brief History of Time, and yet confined to a wheelchair, unable to speak or write. Hawking has mastered the two great theories of 20th-century physics - Einstein's General Theory of Relativity and Quantum Mechanics - and has made breathtaking discoveris about where they break down or overlap, such as on the edge of a Black Hole or at the Big Bang origin of the Universe. Here is the perfect introduction to Hawking's work by the author, who was helped by several long discussions with Hawking in researching the book.

    A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, the book describes the majestic sweep and accomplishments of twentieth-century physics. In the end, we stand in awe before the grand vision of modern physics--one of the greatest chapters in the intellectual history of humankind.

    Today we are at the brink of discoveries that should soon reveal the deepest secrets of the universe.Alpha and Omega is a dispatch from the front lines of the cosmological revolution that is being waged at observatories and laboratories around the world-in Europe, in America, and even in Antarctica--where scientists are actually peering into both the cradle of the universe and its grave. Scientists--including galaxy hunters and microwave eavesdroppers, gravity theorists and atom smashers, all of whom are on the trail of dark matter, dark energy, and the growing inhabitants of the particle zoo-now know how the universe will end and are on the brink of understanding its beginning. Their findings will be among the greatest triumphs of science, even towering above the deciphering of the human genome.This is the book you need to help understand the frequent front-page headlines heralding dramatic cosmological discoveries. It makes cutting-edge science both crystal clear and wonderfully exciting.

    Along the way we’ll learn how selection bias can explain why your boss doesn’t know he sucks (even when everyone else does); how to use Bayes’ Theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything. See the world in a whole new light, and make better decisions and judgements without ever going near a t-test. Think. Think Statistically.

    

    However, once their predictions were compared to the results of experiments in the real world, it became clear that the principles of classical physics and mechanics were far from capable of explaining phenomena on the atomic scale. With this realization came the advent of quantum physics, one of the most important intellectual movements in human history. Today, quantum physics is everywhere: it explains how our computers work, how lasers transmit information across the Internet, and allows scientists to predict accurately the behavior of nearly every particle in nature. Its application continues to be fundamental in the investigation of the most expansive questions related to our world and the universe.However, while the field and principles of quantum physics are known to have nearly limitless applications, the fundamental reasons why this is the case are far less understood. In Quantum Physics: What Everyone Needs to Know, quantum physicist Michael G. Raymer distills the basic principles of such an abstract field, and addresses the many ways quantum physics is a key factor in today's science and beyond. The book tackles questions as broad as the meaning of quantum entanglement and as specific and timely as why governments worldwide are spending billions of dollars developing quantum technology research. Raymer's list of topics is diverse, and showcases the sheer range of questions and ideas in which quantum physics is involved. From applications like data encryption and quantum computing to principles and concepts like "quantum nonlocality" and Heisenberg's uncertainty principle, Quantum Physics: What Everyone Needs to Know is a wide-reaching introduction to a nearly ubiquitous scientific topic.

    In this richly illustrated book, accessible examples are used to show how information theory can be understood in terms of everyday games like '20 Questions', and the simple MatLab programs provided give hands-on experience of information theory in action. Written in a tutorial style, with a comprehensive glossary, this text represents an ideal primer for novices who wish to become familiar with the basic principles of information theory.Download chapter 1 from http://jim-stone.staff.shef.ac.uk/Boo...

    Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

    What do you say when your faith is challenged by those claiming to speak in the name of science or reason? Discerning Truth provides a practical and engaging resource on the use of logic in this critical debate. Filled with anecdotes from both creative examples and real-life illustrations that help clarify logical issues in apologetics. Become skilled at distinguishing sound arguments from emotionally-charged rhetoric. Helps any believer refute evolutionary perspectives. Lisle believes that creationists need to be able to recognize and refute evolutionist arguments, and to do so in a way that both honors God and lines up with the truth of His Word (Eph. 5:1). The role of logic, the study of correct reasoning, is becoming a vanishing skill in our society. Yet it is a vital tool in assisting Christians in assessing the weaknesses in evolutionary thought. Here is the clear and concise guide for every believer in defending your faith in the face of adversity.