For all of neuroscience's advances, we've made little progress on its biggest question: How do simple cells in the brain create intelligence? Jeff Hawkins and his team discovered that the brain uses maplike structures to build a model of the world-not just one model, but hundreds of thousands of models of everything we know. This discovery allows Hawkins to answer important questions about how we perceive the world, why we have a sense of self, and the origin of high-level thought.

    However, it is one of the basic principles of quantum theory, the most widely accepted explanation of the subatomic world - and one of the fascinating subjects dealt with in Equations of Eternity.

    This compendium is bursting with little-known gems such as: the Bible is the most stolen book in America; humans and giraffes have the same number of vertebrae in their necks (seven); and the first thermometer was filled with brandy, not mercury (and was quite accurate). Presented with humor and precision, The Instant Genius is an engrossing battery of over 200 facts sure to settle at least one thorny question in everyone's mind.

    He believes that we should investigate what makes some countries more capable than others. Complex products—from films to robots, apps to automobiles—are a physical distillation of an economy’s knowledge, a measurable embodiment of its education, infrastructure, and capability. Economic wealth accrues when applications of this knowledge turn ideas into tangible products; the more complex its products, the more economic growth a country will experience.A radical new interpretation of global economics, Why Information Grows overturns traditional assumptions about the development of economies and the origins of wealth and takes a crucial step toward making economics less the dismal science and more the insightful one.

    Science Masters Series

    This book includes discussions which aid in student understanding of theoretical material through the use of specific cases. It is suitable for undergraduate Mechanics course.

    His matrix theory is one of the bases of modern quantum mechanics, while his "uncertainty principle" has altered our whole philosophy of science.In this classic, based on lectures delivered at the University of Chicago, Heisenberg presents a complete physical picture of quantum theory. He covers not only his own contributions, but also those of Bohr, Dirac, Bose, de Broglie, Fermi, Einstein, Pauli, Schrodinger, Somerfield, Rupp, ·Wilson, Germer, and others in a text written for the physical scientist who is not a specialist in quantum theory or in modern mathematics.Partial contents: introduction (theory and experiment, fundamental concepts); critique of physical concepts of the corpuscular theory (uncertainty relations and their illustration); critique of the physical concepts of the wave theory (uncertainty relations for waves, discussion of an actual measurement of the electromagnetic field); statistical interpretation of quantum theory (mathematical considerations, interference of probabilities, Bohr's complementarity); discussion of important experiments (C. T. R. Wilson, diffraction , Einstein-Rupp, emission, absorption and dispersion of radiation, interference and conservation laws, Compton effect, radiation fluctuation phenomena, relativistic formulation of the quantum theory).An 80-page appendix on the mathematical apparatus of the quantum theory is provided for the specialist.

    Switching from thin tailed to fat tailed distributions requires more than "changing the color of the dress." Traditional asymptotics deal mainly with either n=1 or n=∞, and the real world is in between, under the "laws of the medium numbers"-which vary widely across specific distributions. Both the law of large numbers and the generalized central limit mechanisms operate in highly idiosyncratic ways outside the standard Gaussian or Levy-Stable basins of convergence. A few examples: - The sample mean is rarely in line with the population mean, with effect on "na�ve empiricism," but can be sometimes be estimated via parametric methods. - The "empirical distribution" is rarely empirical. - Parameter uncertainty has compounding effects on statistical metrics. - Dimension reduction (principal components) fails. - Inequality estimators (Gini or quantile contributions) are not additive and produce wrong results. - Many "biases" found in psychology become entirely rational under more sophisticated probability distributions. - Most of the failures of financial economics, econometrics, and behavioral economics can be attributed to using the wrong distributions. This book, the first volume of the Technical Incerto, weaves a narrative around published journal articles.

    Ariew's introduction places the correspondence in historical context and discusses the vibrant philosophical climate of the times. Appendices provide those selections from the works of Newton that Clarke frequently refers to in the correspondence. A bibliography is also included.

    He shows that there are many ways of achieving happiness; for example, there is the inherent happiness that comes with the love of a child; the competitive happiness of triumphing over your opponents; the sensual happiness of the hedonist. Rather than preaching a particular behavior or way of life, Morris provides knowledge that we can use, if we wish, to make ourselves happier.

    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.

    Edited by the Sustainability Institute’s Diana Wright, this essential primer brings systems thinking out of the realm of computers and equations and into the tangible world, showing readers how to develop the systems-thinking skills that thought leaders across the globe consider critical for 21st-century life.Some of the biggest problems facing the world—war, hunger, poverty, and environmental degradation—are essentially system failures. They cannot be solved by fixing one piece in isolation from the others, because even seemingly minor details have enormous power to undermine the best efforts of too-narrow thinking.While readers will learn the conceptual tools and methods of systems thinking, the heart of the book is grander than methodology. Donella Meadows was known as much for nurturing positive outcomes as she was for delving into the science behind global dilemmas. She reminds readers to pay attention to what is important, not just what is quantifiable, to stay humble, and to stay a learner.In a world growing ever more complicated, crowded, and interdependent, Thinking in Systems helps readers avoid confusion and helplessness, the first step toward finding proactive and effective solutions.

    With masterful storytelling and color illustrations, Heretics! offers a unique introduction to the birth of modern thought in comics form--smart, charming, and often funny.These contentious and controversial philosophers--from Galileo and Descartes to Spinoza, Locke, Leibniz, and Newton--fundamentally changed the way we look at the world, society, and ourselves, overturning everything from the idea that the Earth is the center of the cosmos to the notion that kings have a divine right to rule. More devoted to reason than to faith, these thinkers defended scandalous new views of nature, religion, politics, knowledge, and the human mind.Heretics! tells the story of their ideas, lives, and times in a vivid new way. Crisscrossing Europe as it follows them in their travels and exiles, the narrative describes their meetings and clashes with each other--as well as their confrontations with religious and royal authority. It recounts key moments in the history of modern philosophy, including the burning of Giordano Bruno for heresy, Galileo's house arrest for defending Copernicanism, Descartes's proclaiming cogito ergo sum, Hobbes's vision of the "nasty and brutish" state of nature, and Spinoza's shocking Theological-Political Treatise.A brilliant account of one of the most brilliant periods in philosophy, Heretics! is the story of how a group of brave thinkers used reason and evidence to triumph over the authority of religion, royalty, and antiquity.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    De Waal reminds readers through his account of the chimps' sexual rivalries and coalitions, and intelligent rather than instinctual actions, that the roots of politics are older than humanity.