Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail. Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum theory, from its origin and early development through an analysis of wave vs. particle properties of matter. In Part II, Professor Bohm addresses the mathematical formulation of the quantum theory, examining wave functions, operators, Schrödinger's equation, fluctuations, correlations, and eigenfunctions.Part III takes up applications to simple systems and further extensions of quantum theory formulation, including matrix formulation and spin and angular momentum. Parts IV and V explore the methods of approximate solution of Schrödinger's equation and the theory of scattering. In Part VI, the process of measurement is examined along with the relationship between quantum and classical concepts.Throughout the text, Professor Bohm places strong emphasis on showing how the quantum theory can be developed in a natural way, starting from the previously existing classical theory and going step by step through the experimental facts and theoretical lines of reasoning which led to replacement of the classical theory by the quantum theory.

    But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.

    The Archaeology of Knowledge begins at the level of “things aid” and moves quickly to illuminate the connections between knowledge, language, and action in a style at once profound and personal. A summing up of Foucault’s own methodological assumptions, this book is also a first step toward a genealogy of the way we live now. Challenging, at times infuriating, it is an absolutely indispensable guide to one of the most innovative thinkers of our time.

    While they're at it, they helpfully demystify many complicated things we do know about, from quarks and neutrinos to gravitational waves and exploding black holes. With equal doses of humor and delight, they invite us to see the universe as a vast expanse of mostly uncharted territory that's still ours to explore.This entertaining illustrated science primer is the perfect book for anyone who's curious about all the big questions physicists are still trying to answer.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.

    He explains what the mind is, how it evolved, and how it allows us to see, think, feel, laugh, interact, enjoy the arts, and ponder the mysteries of life. And he does it with the wit that prompted Mark Ridley to write in the New York Times Book Review, "No other science writer makes me laugh so much. . . . [Pinker] deserves the superlatives that are lavished on him."  The arguments in the book are as bold as its title. Pinker rehabilitates some unfashionable ideas, such as that the mind is a computer and that human nature was shaped by natural selection, and challenges fashionable ones, such as that passionate emotions are irrational, that parents socialize their children, and that nature is good and modern society corrupting. Winner of the Los Angeles Times Book Prize A New York Times Notable Book of the Year and Publishers Weekly Best Book of 1997 Featured in Time magazine, the New York Times Magazine, The New Yorker, Nature, Science, Lingua Franca, and Science Times Front-page reviews in the Washington Post Book World, the Boston Globe Book Section, and the San Diego Union Book Review

    How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions.And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

     Marvel at the thief who steals electrical wires without shutting off the current. Gape at the lawnchair jockey who floats to a height of 16,000 feet suspended by helium balloons. Learn from the man who peers into a gasoline can using a cigarette lighter. All three -- and many more -- contend for Darwin Awards when their choices culminate in magnificent misadventures. These tales of trial and awe-inspiring error--verified by the author and endorsed by website readers--illustrate the ongoing saga of survival of the fittest in all its selective glory.

    But is his extraordinary intellect merely a gift of fiction, or can we learn to cultivate these abilities ourselves, to improve our lives at work and at home?We can, says psychologist and journalist Maria Konnikova, and in Mastermind she shows us how. Beginning with the "brain attic"--Holmes's metaphor for how we store information and organize knowledge--Konnikova unpacks the mental strategies that lead to clearer thinking and deeper insights. Drawing on twenty-first-century neuroscience and psychology, Mastermind explores Holmes's unique methods of ever-present mindfulness, astute observation, and logical deduction. In doing so, it shows how each of us, with some self-awareness and a little practice, can employ these same methods to sharpen our perceptions, solve difficult problems, and enhance our creative powers. For Holmes aficionados and casual readers alike, Konnikova reveals how the world's most keen-eyed detective can serve as an unparalleled guide to upgrading the mind.

    This information has been kept in topsecret government files since the 1940s. His audiences hear the truth unfold as he writes about the assassination of John F. Kennedy, the war on drugs, the secret government, and UFOs.Bill is a lucid, rational, and powerful speaker whose intent is to inform and to empower his audience. Standing room only is normal. His presentation and information transcend partisan affiliations as he clearly addresses issues in a way that has a striking impact on listeners of all backgrounds and interests. He has spoken to many groups throughout the United States and has appeared regularly on many radio talk shows and on television.In 1988 Bill decided to "talk" due to events then taking place worldwide, events that he had seen plans for back in the early 1970s. Bill correctly predicted the lowering of the Iron Curtain, the fall of the Berlin Wall, and the invasion of Panama. All Bill's predictions were on record well before the events occurred. Bill is not a psychic. His information comes from top secret documents that he read while with the Intelligence Briefing Team and from over seventeen years of research.

    Campbell stresses that the borders dividing the Earth have been shattered; that myths and religions have always followed the certain basic archetypes and are no longer exclusive to a single people, region, or religion. He shows how we must recognize their common denominators and allow this knowledge to be of use in fulfilling human potential everywhere.

    Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

    It is a peaceful reign, held by compact and not by conquest. Again and again, when rebellion threatens the Terran Peace, the natives of the rebellious world have turned against their own people and sided with the men of Terra; not from fear, but from a sense of dedication. There has never been open war. The battle for these worlds is fought in the minds of a few men who stand between worlds; bound to one world by interest, loyalties and allegiance; bound to the other by love. Such a world is Wolf. Such a man was Race Cargill of the Terran Secret Service… At one time Race Cargill had been the best Terran Intelligence agent on the complex and mysterious planet of Wolf. He had repeatedly imperiled his life amongst the half-human and non-human creatures of the sullen world. And he had repeatedly accomplished the fantastic missions until his name was emblazoned with glory. But that had all seemingly ended. For six long years he'd sat behind a boring desk inside the fenced-in Terran Headquarters, cut off there ever since he and a rival had scarred and ripped each other in blood-feud. But when The Door Through Space swung suddenly open, the feud was on again—and with it a plot designed to check and destroy the Terran Empire.