This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, -The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory.- Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer.In the paper, -On Computable Numbers, with an Application to the Entscheidungsproblem, - Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.

    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

    In its structure and content, the Anthology is intended to complement the Companion to Bioethics, edited by the same scholars. The Anthology is independent of any particular approach to bioethics. Can be used as a source book to complement the Companion to Bioethics. Probes more deeply than the standard anthologies into the foundations of bioethics. More global in approach than competition.

    Effectively coversthe essentials of allied health chemistry without excessive andunnecessary detail. Puts chemistry in the context of everyday life.Covers biochemistry thoroughly to allow for flexible treatment andplaces emphasis on its relevance to society. Updates and expandscontent throughout in topics such as DNA, genomics, chemicalmessengers, the new food pyramid, and the modern view of nucleicacid chemistry and protein synthesis. Revises illustrations throughoutfor increased effectiveness. Redesigned diagrams and bulleted lists fora clearer layout.

    A compelling and revolutionary work that calls for the immediate extension of our human rights to the great apes.The Great Ape Project looks forward to a new stage in the development of the community of equals, whereby the great apes-chimpanzees, gorillas, and orangutans-will actually receive many of the same protections and rights that are already accorded to humans.This profound collection of thirty-one essays by the world's most distinguished observers of free-living apes make up a uniquely satisfying whole, blending observation and interpretation in a highly persuasive case for a complete reassessment of the moral status of our closest kin.

    The "Theory of Everything" that appears to be emerging includes everything but us: the feelings, meanings, consciousness, and purposes that make us (and many of our animal cousins) what we are. These most immediate and incontrovertible phenomena are left unexplained by the natural sciences because they lack the physical properties—such as mass, momentum, charge, and location—that are assumed to be necessary for something to have physical consequences in the world. This is an unacceptable omission. We need a "theory of everything" that does not leave it absurd that we exist.Incomplete Nature begins by accepting what other theories try to deny: that, although mental contents do indeed lack these material-energetic properties, they are still entirely products of physical processes and have an unprecedented kind of causal power that is unlike anything that physics and chemistry alone have so far explained. Paradoxically, it is the intrinsic incompleteness of these semiotic and teleological phenomena that is the source of their unique form of physical influence in the world. Incomplete Nature meticulously traces the emergence of this special causal capacity from simple thermodynamics to self-organizing dynamics to living and mental dynamics, and it demonstrates how specific absences (or constraints) play the critical causal role in the organization of physical processes that generate these properties.The book's radically challenging conclusion is that we are made of these specific absenses—such stuff as dreams are made on—and that what is not immediately present can be as physically potent as that which is. It offers a figure/background shift that shows how even meanings and values can be understood as legitimate components of the physical world.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    Our instincts—for food, sex, or territorial protection— evolved for life on the savannahs 10,000 years ago, not in today’s world of densely populated cities, technological innovations, and pollution. We now have access to a glut of larger-than-life objects, from candy to pornography to atomic weapons—that gratify these gut instincts with often-dangerous results. Animal biologists coined the term “supernormal stimuli” to describe imitations that appeal to primitive instincts and exert a stronger pull than real things, such as soccer balls that geese prefer over eggs. Evolutionary psychologist Deirdre Barrett applies this concept to the alarming disconnect between human instinct and our created environment, demonstrating how supernormal stimuli are a major cause of today’s most pressing problems, including obesity and war. However, Barrett does more than show how unfettered instincts fuel dangerous excesses. She also reminds us that by exercising self-control we can rein them in, potentially saving ourselves and civilization. 55 illustrations.