Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

    There's a wonderful mix of science, history and wit, all in bite-sized chapters on a broad range of topics.Urgent and essential, Numbers Don't Lie inspires readers to interrogate what they take to be true in these significant times. Smil is on a mission to make facts matter, because after all, numbers may not lie, but which truth do they convey?'The best book to read to better understand our world. Once in a while a book comes along that helps us see our planet more clearly. By showing us numbers about science, health, green technology and more, Smil's book does just that. It should be on every bookshelf!' Linda Yueh, author of The Great Economists'He is rigorously numeric, using data to illuminate every topic he writes about. The word "polymath" was invented to describe people like him' Bill Gates 'Important' Mark Zuckerberg, on Energy 'One of the world's foremost thinkers on development history and a master of statistical analysis . . . The nerd's nerd' Guardian 'There is perhaps no other academic who paints pictures with numbers like Smil' Guardian 'In a world of specialized intellectuals, Smil is an ambitious and astonishing polymath who swings for fences . . . They're among the most data-heavy books you'll find, with a remarkable way of framing basic facts' Wired 'He's a slayer of bullshit' David Keith, Gordon McKay Professor of Applied Physics & Professor of Public Policy, Harvard UniversityVaclav Smil is Distinguished Professor Emeritus at the University of Manitoba. He is the author of over forty books on topics including energy, environmental and population change, food production and nutrition, technical innovation, risk assessment and public policy. No other living scientist has had more books (on a wide variety of topics) reviewed in Nature. A Fellow of the Royal Society of Canada, in 2010 he was named by Foreign Policy as one of the Top 100 Global Thinkers. This is his first book for a more general readership.

    This concise introduction shows you how to perform statistical analysis computationally, rather than mathematically, with programs written in Python.You'll work with a case study throughout the book to help you learn the entire data analysis process—from collecting data and generating statistics to identifying patterns and testing hypotheses. Along the way, you'll become familiar with distributions, the rules of probability, visualization, and many other tools and concepts.Develop your understanding of probability and statistics by writing and testing codeRun experiments to test statistical behavior, such as generating samples from several distributionsUse simulations to understand concepts that are hard to grasp mathematicallyLearn topics not usually covered in an introductory course, such as Bayesian estimationImport data from almost any source using Python, rather than be limited to data that has been cleaned and formatted for statistics toolsUse statistical inference to answer questions about real-world data

    It uses examples and exercise sets, with clear explanations of problem-solving techniqes and material on the further theory of functions.

    Line drawings and more than 1,000 new color images illustrate concepts more clearly than ever. This book includes detailed information on diagnosis, treatment planning concepts, related problems or controversies, and current treatment procedures, including the role of orthodontics in comprehensive treatment of patients with multiple problems.A NEW full-color design includes a total of more than 1,400 clinical photographs and illustrations.Application of the soft tissue paradigm to modern orthodontic diagnosis and treatment planning.Critical evaluation of controversies in treatment approaches and treatment timing.NEW information on the use of cone beam CT for 3-dimensional evaluation of dental and facial dimensions and relationships, and 3-D superimpositions to evaluate treatment response.Problem-oriented treatment planning, with use of digital technology to develop a database that can feed through to the treatment plan.Updated content on biomechanics to help you plan efficient use of modern orthodontic appliance systems.NEW skeletal anchorage techniques using bone anchors and mini screws.Chapters on adult treatment featuring the sequencing of multidisciplinary treatment, the new approach to lingual orthodontics, and a discussion of surgical vs. orthodontic treatment options.Full-color design includes hundreds of clinical photographs and illustrations with brighter, more engaging text and more demonstrative figures.Diagnosis and treatment planning chapters are revised to consider new paradigms to teach students and orthodontists how to apply the results of current research to their practice and treatment plans.Current technologies and advances in contemporary treatment provide clinicians with ways to make treatment planning and execution more efficient.Updated content on biomechanics gives clinicians ways to plan appropriate orthodontic appliance systems through which mechanotherapy is delivered using principles of forces.Updated information on mechanical devices, such as transplants, transpositions, implants, and temporary anchorage using mini screws, provide an understanding on how these devices can affect orthodontic treatment and what is available on the market to improve treatment outcomes.Appliance chapters have been condensed to reflect only the most useful and contemporary materials.Chapters on treatment for adults have been rewritten to include new concepts in periodontics and new clinical cases with predictions and outcomes and discussion of surgical vs. orthodontic treatment options.Early treatment chapters have been consolidated and new research included in the reorganization of content to make it consistent with the best data available in the literature.Every section of the book begins with a section opener to outline the main concepts discussed in that section.

    Its big-picture, calculus-based approach makes it an especially authoriatative reference for engineering and science majors. Now thoroughly update, this second edition includes vital new coverage of order statistics, best critical regions, likelihood ratio tests, and other key topics.

    We need a brand new way to take it all in. 'Information is Beautiful' transforms the ideas surrounding and swamping us into graphs and maps that anyone can follow at a single glance.

    The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo MCMC. Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

    Peter Bernstein has written a comprehensive history of man's efforts to understand risk and probability, beginning with early gamblers in ancient Greece, continuing through the 17th-century French mathematicians Pascal and Fermat and up to modern chaos theory. Along the way he demonstrates that understanding risk underlies everything from game theory to bridge-building to winemaking.

    

    Along the way we’ll learn how selection bias can explain why your boss doesn’t know he sucks (even when everyone else does); how to use Bayes’ Theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything. See the world in a whole new light, and make better decisions and judgements without ever going near a t-test. Think. Think Statistically.

    Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the humanist idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

    Trading Bases explains how he did it. After the fall of Lehman Brothers, Joe Peta was out of a job. He found a new one but lost that, too, when an ambulance mowed him down. In search of a way to cheer himself up while he recuperated in a wheelchair, Peta started watching baseball again, as he had growing up. That’s when inspiration hit: Why not apply his outstanding risk-analysis skills to improve on sabermetrics, the method made famous by Moneyball—and beat the only market in town, the Vegas betting line? Why not treat MLB like the S&P 500? In Trading Bases, Peta shows how to subtract luck—in particular “cluster luck,” as he puts it—from a team’s statistics to best predict how it will perform in the next game and over the whole season. His baseball “hedge fund” returned an astounding 41 percent in 2011—and has never been down more than 5 percent. Peta takes readers to the ballpark in San Francisco, trading floors and baseball bars in New York, and sports books in Vegas, all while tracing the progress of his wagers. Often humorous, occasionally touching, and with a wink toward the sheer implausibility of the whole project, Trading Bases is all about the love of critical reasoning, trading cultures, risk management, and baseball. And not necessarily in that order.

    It demonstrates how to encourage, develop, and foster the processes which seem to come naturally to mathematicians.

    This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets.