The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises. Solution ManualTable of Contents, Errata, and more...

    It’s time we stand face-to-digital-face with the true powers and limitations of the algorithms that already automate important decisions in healthcare, transportation, crime, and commerce. Hello World is indispensable preparation for the moral quandaries of a world run by code, and with the unfailingly entertaining Hannah Fry as our guide, we’ll be discussing these issues long after the last page is turned.

    Or the blissful abandon of a golden retriever racing with glee across a lawn. This is the joy of play. By definition, play is purposeless and all-consuming. And, most important, it’s fun. As we become adults, taking time to play feels like a guilty pleasure—a distraction from “real” work and life. But as Dr. Stuart Brown illustrates, play is anything but trivial. It is a biological drive as integral to our health as sleep or nutrition. In fact, our ability to play throughout life is the single most important factor in determining our success and happiness. Dr. Brown has spent his career studying animal behavior and conducting more than six thousand “play histories” of humans from all walks of life—from serial murderers to Nobel Prize winners. Backed by the latest research, Play explains why play is essential to our social skills, adaptability, intelligence, creativity, ability to problem solve, and more. Play is hardwired into our brains—it is the mechanism by which we become resilient, smart, and adaptable people. Beyond play’s role in our personal fulfillment, its benefits have profound implications for child development and the way we parent, education and social policy, business innovation, productivity, and even the future of our society. From new research suggesting the direct role of three-dimensional-object play in shaping our brains to animal studies showing the startling effects of the lack of play, Brown provides a sweeping look at the latest breakthroughs in our understanding of the importance of this behavior. A fascinating blend of cutting-edge neuroscience, biology, psychology, social science, and inspiring human stories of the transformative power of play, this book proves why play just might be the most important work we can ever do.

    In recent years, while continuing to learn more about strengths, Gallup scientists have also been ex....

    Imagine being able to challenge anyone with seemingly impossible bets, safe in the knowledge that you will always win. Imagine no more. Richard Wiseman is a psychologist who has traveled the globe in search of the world's greatest bets and in "101 Bets You Will Always Win" he shows you how to use science, logic and a healthy dose of trickery always to be on the winning side of every bet you make. Using coins, dice, matchsticks and ordinary objects, you'll discover, among many other things,- how to balance a coin on the edge of a dollar bill - pick a cup up with a balloon - balance two forks and a matchstick on your fingertip - separate two glasses without touching themIn explaining the bets, Wiseman also explains the science behind them making what at first seems mystifying as natural as the laws of gravity. Let YouTube sensation Richard Wiseman turn you into one of those smart people who can say "I'll bet I can..." and know that you'll never lose.

    His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.

    Through the allegory of Alice's adventures and encounters, Gilmore makes the essential features of the quantum world clear and accessible. It is a thrilling introduction to some essential, often difficult-to-grasp concepts about the world we inhabit.

    This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.