But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    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.

    High school & older.

    . . . Brian Clegg attempts to restore something of the lost wonder of air travel . . . even as Leonardo, so fascinated by science, might have done . . . leav[ing] his readers improved for the journey and filled with a renewed sense of curiosity toward the wonders out their window.”—Wall Street Journal“An eye-spy book for adults . . . fitting into that publishing niche somewhere between hard science and Schott’s Miscellany that was so successfully exploited by books such as The Cloudspotter’s Guide.” —London Times Book of the WeekEvery moment of your airplane journey is an opportunity to experience science in action—Inflight Science will be your guide. Brian Clegg explains the ever-changing view from your window seat and suggests entertaining experiments to calculate how far away you are from distant objects and the population of the towns you fly over. You'll learn why the coastline is infinite in length, the cause of thunderstorms, and why there's absolutely no chance of getting stuck on an airline vacuum toilet!Packed full of amazing insights from physics, chemistry, engineering, geography, and more, Inflight Science is a voyage of scientific discovery perfect for any journey.Brian Clegg is the author of several popular science titles, including Before the Big Bang and the forthcoming How to Build a Time Machine (2011), both from St. Martin's Press.

    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.

    Now, in everyday language, Stephen Hawking's Universe reveals step-by-step how we can all share his understanding of the cosmos, and our own place within it. Stargazing has never been the same since cosmologists discovered that galaxies are moving away from each other at an extraordinary speed. It was this understanding of the movement of galaxies that allowed scientists to develop a theory of how the universe was created—the Big Bang theory. Working with this theory, Stephen Hawking and other physicists felt challenged to come up with a scientific picture that would tackle the fundamental question: what is the nature of the universe? Stephen Hawking's Universe charts this work and provides simple explanations for phenomena that arouse our curiosity. This work is a voyage of discovery with an astonishing set of conclusions that will enable us to understand how matter can be produced from nothing at all and will provide us with an explanation for the basis of our existence and that of everything around us.

    Objects in harmonic motion have the ability to transfer some of their energy over large distances. Light Nature: This chapter covers the nature of light, polarization, and color.

    Here he explains how our image of the world has changed throughout centuries. Fom Aristotle to Albert Einstein, Michael Faraday to the Higgs boson, he takes us on a wondrous journey to show us that beyond our ever-changing idea of reality is a whole new world that has yet to be discovered.

    This idea is considered a foundation of modern physics, but what if it is wrong? Theoretical physicist Magueijo presents the idea that light traveled faster in the early universe than it does today. The varying speed of light theory solves some of the most intractable problems in cosmology, and could have major implications for the study of physics.

    She draws on conversations with hundreds of the world's top scientists and on her own work as a Pulitzer Prize-winning writer for the New York Times to create a thoroughly entertaining guide to scientific literacy. Angier's gifts are on full display in The Canon, an ebullient celebration of science that stands to become a classic. The Canon is vital reading for anyone who wants to understand the great issues of our time -- from stem cells and bird flu to evolution and global warming. And it's for every parent who has ever panicked when a child asked how the earth was formed or what electricity is. Angier's sparkling prose and memorable metaphors bring the science to life, reigniting our own childhood delight in discovering how the world works. "Of course you should know about science," writes Angier, "for the same reason Dr. Seuss counsels his readers to sing with a Ying or play Ring the Gack: These things are fun and fun is good." The Canon is a joyride through the major scientific disciplines: physics, chemistry, biology, geology, and astronomy. Along the way, we learn what is actually happening when our ice cream melts or our coffee gets cold, what our liver cells do when we eat a caramel, why the horse is an example of evolution at work, and how we're all really made of stardust. It's Lewis Carroll meets Lewis Thomas -- a book that will enrapture, inspire, and enlighten.

    He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

    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.

    Supernatural magic is what our ancestors used in order to explain the world before they developed the scientific method. The ancient Egyptians explained the night by suggesting the goddess Nut swallowed the sun. The Vikings believed a rainbow was the gods’ bridge to earth. The Japanese used to explain earthquakes by conjuring a gigantic catfish that carried the world on its back—earthquakes occurred each time it flipped its tail. These are magical, extraordinary tales. But there is another kind of magic, and it lies in the exhilaration of discovering the real answers to these questions. It is the magic of reality—science.Packed with clever thought experiments, dazzling illustrations and jaw-dropping facts, The Magic of Reality explains a stunningly wide range of natural phenomena. What is stuff made of? How old is the universe? Why do the continents look like disconnected pieces of a puzzle? What causes tsunamis? Why are there so many kinds of plants and animals? Who was the first man, or woman? This is a page-turning, graphic detective story that not only mines all the sciences for its clues but primes the reader to think like a scientist as well.Richard Dawkins, the world’s most famous evolutionary biologist and one of science education’s most passionate advocates, has spent his career elucidating the wonders of science for adult readers. But now, in a dramatic departure, he has teamed up with acclaimed artist Dave McKean and used his unrivaled explanatory powers to share the magic of science with readers of all ages. This is a treasure trove for anyone who has ever wondered how the world works. Dawkins and McKean have created an illustrated guide to the secrets of our world—and the universe beyond—that will entertain and inform for years to come.

    Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

    There has never been a better time to be a geek (or a nerd, or a dork). What was once an insult used to marginalize those curious people (in either sense of the word) and their obsessive interest in science has increasingly become a badge of honor. And we should be crying out for them. England is a country where only one of 650 MPs has worked as a research scientist, the government's drug adviser was sacked for making a decision based on scientific fact rather than public opinion, a writer can be forced into court for telling the scientific truth, and the media would rather sell papers by scaremongering over MMR vaccines and GM crops than report the less sensational facts. Whether one wants to improve education, cut crime, enhance public health, or generate clean energy, science and its experimental method is critical. It's time to stop the nonsense! The Geek Manifesto explains what needs to happen to entrench scientific thinking more deeply into politics and society; and how those who are concerned can turn their frustrated outrage into positive action that our country's leaders cannot ignore. Contributors include Ben Goldacre, Simon Singh, Robin Ince, Evan Harris, Tim Harford, Brian Cox, and Sir Paul Nurse.