Our senses are not equipped to see the universe as it is, and routinely let us down in that quest—the world appears flat, the stars seem fixed in the heavens. That is why we invented math and science—the ultimate toolkit to explain how the world really works.In this book, mathematician Hannah Fry and geneticist Adam Rutherford investigate everyday mysteries (does your dog love you?) alongside the burning questions of time, space, and the origin of the universe. What will the end of the world look like, and when will it happen? What is time, and where does it come from? Approaching these questions and more with science and math rigorous and playful, Rutherford and Fry celebrate the weirdness of the cosmos, and reveal its secrets along the way.

    Each idea, no matter how complex, is explained in 300 words and one picture, all digestible in 30 seconds.30-Second Quantum Theory tackles a mindbendingly mysterious area of physics, introducing the 50 most significant quantum quandaries and ideas. In a world where the quantum physics of electronics is an everyday essential and new quantum developments make headline news, you will visit Parallel Worlds, ride Wave Theory, and learn just enough to talk with certainty about Uncertainty Theory and to untangle the mysteries of quantum entanglement.

    What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    It shows how causality has grown from a nebulous concept into a mathematical theory with significant applications in the fields of statistics, artificial intelligence, philosophy, cognitive science, and the health and social sciences. Pearl presents a unified account of the probabilistic, manipulative, counterfactual and structural approaches to causation, and devises simple mathematical tools for analyzing the relationships between causal connections, statistical associations, actions and observations. The book will open the way for including causal analysis in the standard curriculum of statistics, artifical intelligence, business, epidemiology, social science and economics. Students in these areas will find natural models, simple identification procedures, and precise mathematical definitions of causal concepts that traditional texts have tended to evade or make unduly complicated. This book will be of interest to professionals and students in a wide variety of fields. Anyone who wishes to elucidate meaningful relationships from data, predict effects of actions and policies, assess explanations of reported events, or form theories of causal understanding and causal speech will find this book stimulating and invaluable. Professor of Computer Science at the UCLA, Judea Pearl is the winner of the 2008 Benjamin Franklin Award in Computers and Cognitive Science.

    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    The way a teaching machine works is: It asks you a question. If you give the right answer, it goes on to the next question. If you give the wrong answer, it tells you why the answer is wrong and tells you to go back and try again. This is called "programmed learning". The real authors were experts and authorities in the field of programmed learning. Bobby Fischer lent his name to the project. Stuart Margulies is a chess master and also a recognized authority on programmed learning. He is a widely published author of more than 40 books, all in the field of programmed learning, especially in learning how to read. For example, one of his books is "Critical reading for proficiency 1 : introductory level". Donn Mosenfelder is not a known or recognized chess player, but he was the owner of the company that developed and designed this book. He has written more than 25 books, almost all on basic reading, writing and math.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being replaced by a new generation of players who have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. This book provides an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory, in a manner that makes seemingly difficult topics accessible to players without a strong mathematical background.

    From very simple beginnings he takes us on a thrilling journey to some deep mathematical ideas. On the way, via Kepler and Newton, he explains what calculus really means, gives a brief history of pi, and even takes us to chaos theory and imaginary numbers. Every short chapter is carefully crafted to ensure that no one will get lost on the journey. Packed with puzzles and illustrated by world famous cartoonists, this is one of the most readable and imaginative books on mathematics ever written.

    Do you have to be born musical to become musical? Do you have to start at the age of six? Using the tools of his day job as a cognitive psychologist, Gary Marcus becomes his own guinea pig as he takes up the guitar. In a powerful and incisive look at how both children and adults become musical, Guitar Zero traces Marcus’s journey, what he learned, and how anyone else can learn, too. A groundbreaking peek into the origins of music in the human brain, this musical journey is also an empowering tale of the mind’s enduring plasticity. Marcus investigates the most effective ways to train body and brain to learn to play an instrument, in a quest that takes him from Suzuki classes to guitar gods. From deliberate and efficient practicing techniques to finding the right music teacher, Marcus translates his own experience—as well as reflections from world-renowned musicians—into practical advice for anyone hoping to become musical, or to learn a new skill.Guitar Zero debunks the popular theory of an innate musical instinct while simultaneously challenging the idea that talent is only a myth. While standing the science of music on its head, Marcus brings new insight into humankind’s most basic question: what counts as a life well lived? Does one have to become the next Jimi Hendrix to make a passionate pursuit worthwhile, or can the journey itself bring the brain lasting satisfaction?For all those who have ever set out to play an instrument—or wish that they could—Guitar Zero is an inspiring and fascinating look at the pursuit of music, the mechanics of the mind, and the surprising rewards that come from following one’s dreams.

    At a time when the poor math performance of American school children has labeled us a "nation of underachievers," what can parents--often themselves daunted by the mysteries of mathematics--do to help their children? In Games for Math, Peggy Kaye--teacher extraordinaire and author of the highly praised Games for Reading--gives parents more than fifty marvelous and effective ways to help their children learn math by doing just what kids love best: playing games.

    In it, S. W. Erdnase, a supreme master of card manipulation, teaches card enthusiasts how to perform the dazzling tricks and sleights — many of them his own creations — that made him famous.The first section of the book deals with card table artifice, or, to put it more bluntly, cheating at cards. Step by step, Mr. Erdnase demonstrates his own systems of false shuffling, false riffling and cutting, dealing from the bottom, and such slick moves as palming cards, "skinning the hand" — even three-card monte.The second section covers legerdemain: the art of forcing a card, one- and two-hand transformations, the devious "slide" and more. Card handlers will love Erdnase's selection of dazzling card tricks, including The Acrobatic Jacks, The Exclusive Coterie, The Divining Rod, The Invisible Flights, A Mind Reading Trick, and many others.In an informative Foreword to this edition, Martin Gardner relates the unhappy details of the author's personal life, and recounts the history of this famous book, whose methods, Mr. Gardner asserts, "are as useful today by magicians and card hustlers as they were in 1902. This book is still the bible of card 'mechanics,' and as much a delight to read as it was in the early years of this century."