Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    They’re in our companies, in our homes, in our pockets. People love these products. But what they love more is what these products do—and for anyone running a business today, outcomes are the key. The Internet of Things (IoT) is the point of connection between products and the results they deliver—it’s where products become software. IoT Inc. explains everything you need to know to position your company within this powerful new network. And once you do, you’ll leave the competition in the dust. Founder and president of today’s leading IoT business consulting firm, Bruce Sinclair has been helping companies develop IoT strategies for a decade—far longer than the term has even existed. This essential guide provides an in-depth look into IoT—how it works and how it is transforming business; methods for seeing your own business, customers, and competitors through the lens of IoT, and a deep dive into how to develop and implement a powerful IoT strategy. IoT isn’t a new business trend. It’s the new way of business. Period. The IoT wave is heading for your industry. You can either meet it head-on, and ride it to success, or you can turn your back and let it swamp you. This is your playbook for transforming your company into a major player in the IoT Outcome economy.

    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

     This book is a supplement to What If? and intended to enhance the experience of reading the original book. We recommend purchasing the full version of What If? on Amazon in addition to this book. Introduction What If? Serious Scientific Answers to Absurd Hypothetical Questions presents a wide variety of questions covering a range of dubious potentialities and the results which would ensue should they become reality. The questions are collected from author Randall Munroe’s website, where they are sent in by readers of his blog. Some of the questions are conceptual, for example how much force would be required for Yoda to lift an X-fighter, others are in a more serious vein. All of the answers however are based on research and the application of scientific principles by the author, himself trained in physics and a former roboticist for NASA. Benefits Spend less time reading and more time enjoying your favorite books. Discover important details you may have missed the first time. Review key concepts in an easy-to-understand and efficient manner. Use as a reference or "cheat sheet" to quickly access important information. Pick up where you left off with the original book. Focus only on critical information and eliminate unnecessary details. Buy Now Buy Now: Only $2.99 (Save $3.00 or 50%, Regular Price: $5.99) Money Back Guarantee: If you are not 100% satisfied with your purchase, simply return it to Amazon within 7 days of purchase for a full refund. Go to Your Account -> Manage Your Content and Devices -> Find the Book -> Return for Full Refund. Read Now: Your book will be delivered to your Kindle device or free Kindle software automatically.

    

    

    An exceptional book written by a true professional.

    “Although thermodynamics has been studied for hundreds of years…few nonscientists appreciate how its principles have shaped the modern world” (Scientific American). Thermodynamics—the branch of physics that deals with energy and entropy—governs everything from the behavior of living cells to the black hole at the center of our galaxy. Not only that, but thermodynamics explains why we must eat and breathe, how lights turn on, the limits of computing, and how the universe will end. The brilliant people who decoded its laws came from every branch of the sciences; they were engineers, physicists, chemists, biologists, cosmologists, and mathematicians. From French military engineer and physicist Sadi Carnot to Lord Kelvin, James Joule, Albert Einstein, Emmy Noether, Alan Turing, and Stephen Hawking, author Paul Sen introduces us to all of the players who passed the baton of scientific progress through time and across nations. Incredibly driven and idealistic, these brave pioneers performed groundbreaking work often in the face of torment and tragedy. Their discoveries helped create the modern world and transformed every branch of science, from biology to cosmology. “Elegantly written and engaging” (Financial Times), Einstein’s Fridge brings to life one of the most important scientific revolutions of all time and captures the thrill of discovery and the power of scientific progress to shape the course of history.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    Here, from author Jay Williams, is the moving story of the man behind the Renaissance myth.

    Approaching science with a freshness unbound by convention or previous expectations, he produced some of the most original scientific thinking of the nineteenth century - and his discoveries went on to shape the twentieth century.

    

    Eric Drexler is the founding father of nanotechnology -- the science of engineering on a molecular level. In Radical Abundance, he shows how rapid scientific progress is about to change our world. Thanks to atomically precise manufacturing, we will soon have the power to produce radically more of what people want, and at a lower cost. The result will shake the very foundations of our economy and environment. Already, scientists have constructed prototypes for circuit boards built of millions of precisely arranged atoms. The advent of this kind of atomic precision promises to change the way we make things -- cleanly, inexpensively, and on a global scale. It allows us to imagine a world where solar arrays cost no more than cardboard and aluminum foil, and laptops cost about the same. A provocative tour of cutting edge science and its implications by the field's founder and master, Radical Abundance offers a mind-expanding vision of a world hurtling toward an unexpected future.

    When research suggests how to harness brain evolution, a hunt ensues for a missing link―one that allows to design humans with skills that prodigies of old would have envied.As germline engineering and biological enhancement have become routine, ancient doubts have emerged under new guises: Who are we? Is there a purpose to life? Why is there so much suffering? When faith and science fail to answer these questions, personal greed and national interest quickly fill the void. But gene selection is expensive, and many are excluded from its benefits. The stage is set for tribalism and social discontent on a scale without precedent, and those caught in the fray, whether by choice or by chance, must play roles not always to their liking in the struggle of all creatures against the arbitrariness of existence.