The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    Beyond tells the epic story of humanity leaving home—and how humans will soon thrive in the vast universe beyond the earth.A dazzling and propulsive voyage through space and time, Beyond reveals how centuries of space explorers—from the earliest stargazers to today’s cutting-edge researchers—all draw inspiration from an innate human emotion: wanderlust. This urge to explore led us to multiply around the globe, and it can be traced in our DNA.Today, the urge to discover manifests itself in jaw-dropping ways: plans for space elevators poised to replace rockets at a fraction of the cost; experiments in suspending and reanimating life for ultra-long-distance travel; prototypes for solar sails that coast through space on the momentum of microwaves released from the Earth. With these ventures, private companies and entrepreneurs have the potential to outpace NASA as the leaders in a new space race.Combining expert knowledge of astronomy and avant-garde technology, Chris Impey guides us through the heady possibilities for the next century of exploration. In twenty years, a vibrant commercial space industry will be operating. In thirty years, there will be small but viable colonies on the Moon and Mars. In fifty years, mining technology will have advanced enough to harvest resources from asteroids. In a hundred years, a cohort of humans born off-Earth will come of age without ever visiting humanity’s home planet. This is not the stuff of science fiction but rather the logical extension of already available technologies.Beyond shows that space exploration is not just the domain of technocrats, but the birthright of everyone and the destiny of generations to come. To continue exploration is to ensure our survival. Outer space, a limitless unknown, awaits us.

    In each new edition, the authors have refined their primary goal of helping you develop the skills and confidence you need to master the art of solving fluid mechanics problems. This new Fifth Edition includes many new problems, revised and updated examples, new Fluids in the News case study examples, new introductory material about computational fluid dynamics (CFD), and the availability of FlowLab for solving simple CFD problems. Access special resources online New copies of this text include access to resources on the book's website, including: * 80 short Fluids Mechanics Phenomena videos, which illustrate various aspects of real-world fluid mechanics.* Review Problems for additional practice, with answers so you can check your work.* 30 extended laboratory problems that involve actual experimental data for simple experiments. The data for these problems is provided in Excel format.* Computational Fluid Dynamics problems to be solved with FlowLab software. Student Solution Manual and Study Guide A Student Solution Manual and Study Guide is available for purchase, including essential points of the text, "Cautions" to alert you to common mistakes, 109 additional example problems with solutions, and complete solutions for the Review Problems.

     The Science Book covers every area of science--astronomy, biology, chemistry, geology, math, and physics, and brings the greatest scientific ideas to life with fascinating text, quirky graphics, and pithy quotes.

    Chosen from hundreds of crackerjack pilots for their fitness, intelligence & courage, the original Mercury Seven astronauts risked their lives to cross the space frontier. In We Seven they take readers behind the scenes to show them their training, technology & teamwork, & to share personal stories, including the lighter moments of their mission. They bring readers inside the Mercury program, even into the space capsules themselves. We Seven straps you in with the astronauts & rockets you along for the ride. Share Alan Shepard's exhilaration as he breaks thru the earth's atmosphere. Endure moments of panic with Gus Grissom when his hatch blows, stranding him in the open sea. Race with John Glenn as he makes split-second life-or-death maneuvers during reentry, & feel his relief when he emerges safe but drenched with sweat. Despite such heroism, Project Mercury was more than the story of individual missions. It defined the manned space flight program to come, from Gemini thru Apollo. In We Seven America's original astronauts tell us 1sthand about the space program they pioneered, & share with us the hopes of the USA at the dawn of a new era.

    Starting with this forgotten episode, 'Backroom Boys' tells the bittersweet story of how one country lost its industrial tradition and got back something else. Sad, inspiring, funny and ultimately triumphant, it follows the technologists whose work kept Concorde flying, created the computer game, conquered the mobile-phone business, saved the human genome for the human race - and who now are sending the Beagle 2 probe to burrow in the cinnamon sands of Mars. 'Backroom Boys' is a vivid love-letter to quiet men in pullovers, to those whose imaginings take shape not in words but in mild steel and carbon fibre and lines of code. Above all, it is a celebration of big dreams achieved with slender means.

      Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders. In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Drawing on real world examples to introduce complex issues, he shows us how statistics can help us determine the luckiest passenger on the Titanic, whether a notorious serial killer could have been caught earlier, and if screening for ovarian cancer is beneficial. The Art of Statistics not only shows us how mathematicians have used statistical science to solve these problems -- it teaches us how we too can think like statisticians. We learn how to clarify our questions, assumptions, and expectations when approaching a problem, and -- perhaps even more importantly -- we learn how to responsibly interpret the answers we receive. Combining the incomparable insight of an expert with the playful enthusiasm of an aficionado, The Art of Statistics is the definitive guide to stats that every modern person needs.

    It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn...In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step by step treatment, he demonstrates how to start doing calculus, from the very beginning.

    The conversion of energy on Earth ranges from terra-forming forces of plate tectonics to cumulative erosive effects of raindrops. Life on Earth depends on the photosynthetic conversion of solar energy into plant biomass. Humans have come to rely on many more energy flows—ranging from fossil fuels to photovoltaic generation of electricity—for their civilized existence. In this monumental history, Vaclav Smil provides a comprehensive account of how energy has shaped society, from pre-agricultural foraging societies through today's fossil fuel–driven civilization.Humans are the only species that can systematically harness energies outside their bodies, using the power of their intellect and an enormous variety of artifacts—from the simplest tools to internal combustion engines and nuclear reactors. The epochal transition to fossil fuels affected everything: agriculture, industry, transportation, weapons, communication, economics, urbanization, quality of life, politics, and the environment. Smil describes humanity's energy eras in panoramic and interdisciplinary fashion, offering readers a magisterial overview. This book is an extensively updated and expanded version of Smil's Energy in World History (1994). Smil has incorporated an enormous amount of new material, reflecting the dramatic developments in energy studies over the last two decades and his own research over that time.

    The authors' enthusiasm for their subject is compelling as they present abstract concepts in a humorous and easy-to-grasp fashion. Together, these books will open new doors of thought to anyone who wants to find out what computing is really about. The Little Schemer introduces computing as an extension of arithmetic and algebra; things that everyone studies in grade school and high school. It introduces programs as recursive functions and briefly discusses the limits of what computers can do. The authors use the programming language Scheme, and interesting foods to illustrate these abstract ideas. The Seasoned Schemer informs the reader about additional dimensions of computing: functions as values, change of state, and exceptional cases. The Little LISPer has been a popular introduction to LISP for many years. It had appeared in French and Japanese. The Little Schemer and The Seasoned Schemer are worthy successors and will prove equally popular as textbooks for Scheme courses as well as companion texts for any complete introductory course in Computer Science.

    Kelly gives a firsthand account of designing, building, testing, and flying the Apollo lunar module. It was, he writes, "an aerospace engineer's dream job of the century." Kelly's account begins with the imaginative process of sketching solutions to a host of technical challenges with an emphasis on safety, reliability, and maintainability. He catalogs numerous test failures, including propulsion-system leaks, ascent-engine instability, stress corrosion of the aluminum alloy parts, and battery problems, as well as their fixes under the ever-present constraints of budget and schedule. He also recaptures the exhilaration of hearing Apollo 11's Neil Armstrong report that "The Eagle has landed," and the pride of having inadvertently provided a vital "lifeboat" for the crew of the disabled Apollo 13.

    The doctor-patient relationship--the heart of medicine--is broken: doctors are too distracted and overwhelmed to truly connect with their patients, and medical errors and misdiagnoses abound. In Deep Medicine, leading physician Eric Topol reveals how artificial intelligence can help. AI has the potential to transform everything doctors do, from notetaking and medical scans to diagnosis and treatment, greatly cutting down the cost of medicine and reducing human mortality. By freeing physicians from the tasks that interfere with human connection, AI will create space for the real healing that takes place between a doctor who can listen and a patient who needs to be heard.Innovative, provocative, and hopeful, Deep Medicine shows us how the awesome power of AI can make medicine better, for all the humans involved.

    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Nicknamed "The Sled" by those few who flew it, the aircraft was shrouded in secrecy from its inception. Entering the U.S. Air Force inventory in 1966, the SR-71 was the fastest, highest flying jet aircraft in the world. Now for the first time, a Blackbird pilot shares his unique experience of what it was like to fly this legend of aviation history. Through the words & photographs of retired Major Brian Shul, we enter the world of the "Sled Driver." Major Shul gives us insight on all phases of flying, including the humbling experience of simulator training, the physiological stresses of wearing a space suit for long hours, & the intensity & magic of flying 80,000 feet above the Earth's surface at 2000 miles per hour. "Sled Driver" takes the reader through riveting accounts of the rigors of initial training, the gamut of emotions experienced while flying over hostile territory, & the sheer joy of displaying the jet at some of the world's largest airshows. Illustrated with rare photographs, seen here for the first time, "Sled Driver" captures the mystique & magnificence of this most unique of all aircraft.

    They and several heroes of future space flight take on and do the impossible, build a program to explore and settle the red planet in a very short time period. Along the way they dig up old and invent new technology to overcome the many problems facing them. Mario and his wife are forced to take his brother's place when he is viciously attacked moments before launch. The team must overcome many problems, weather, radiation, and politics to get the colony started. Along the way they must divert an asteroid which has some far reaching consequences. Mankind will never be the same after the Mario brothers come on the scene!