Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    An extremely clever account.--The New Yorker.

    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

    

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    Drawing on their hugely popular BBC Radio 4 show More or Less,, journalist Michael Blastland and internationally known economist Andrew Dilnot delight, amuse, and convert American mathphobes by showing how our everyday experiences make sense of numbers. The radical premise of The Numbers Game is to show how much we already know, and give practical ways to use our knowledge to become cannier consumers of the media. In each concise chapter, the authors take on a different theme—such as size, chance, averages, targets, risk, measurement, and data—and present it as a memorable and entertaining story. If you’ve ever wondered what “average” really means, whether the scare stories about cancer risk should convince you to change your behavior, or whether a story you read in the paper is biased (and how), you need this book. Blastland and Dilnot show how to survive and thrive on the torrent of numbers that pours through everyday life. It’s the essential guide to every cause you love or hate, and every issue you follow, in the language everyone uses.

    No investment book in history had either the immediate impact, or the long-term relevance and value, of its first edition in 1934. By 1951, seventeen years past its original publication and more than a decade beyond its revised and acclaimed 1940 second edition, authors Benjamin Graham and David Dodd had seen business and investment markets travel from the depths of Depression to the heights of recovery, and had observed investor behavior during both the calm of peacetime and the chaos of World War II.The prescient thinking and insight displayed by Graham and Dodd in the first two editions of Security Analysis reached new heights in the third edition. In words that could just as easily have been written today as fifty years ago, they detail techniques and strategies for attaining success as individual investors, as well as the responsibilities of corporate decision makers to build shareholder value and transparency for those investors.The focus of the book, however, remains its timeless guidance and advice--that careful analysis of balance sheets is the primary road to investment success, with all other considerations little more than distractions. The authors had seen and survived the Great Depression as well as the political and financial instabilities of World War II and were now better able to outline a program for sensible and profitable investing in the latter half of the century.Security Analysis: The Classic 1951 Edition marks the return of this long-out-of-print work to the investment canon. It will reacquaint you with the foundations of value investing--more relevant than ever in tumultuous twenty-first century markets--and allow you to own the third installment in what has come to be regarded as the most accessible and usable title in the history of investment publishing.

    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.

    Now, with Getting Started in Value Investing, Mizrahi breaks down this successful strategy so that anyone can learn how to use it in his or her own investment endeavors. Written in a straightforward and accessible style, this book helps readers gain an overall understanding of the value approach to investing and presents statistics that reveal the overwhelming success of this approach through a variety of markets. Engaging and informative, Getting Started in Value Investing skillfully shows readers how to look for undervalued companies and provides them with the tools they need to succeed in today's markets.Charles S. Mizrahi (Brooklyn, NY) is Managing Partner of CGM Partners Fund LP. He is also editor of Hidden Values Alert, a monthly newsletter focused on value investing. Mizrahi has more than 25 years of investment experience and is frequently quoted in the press. Many of his articles appear online at gurufocus.com as well as on other financial sites.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now.With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn.Empowering and illuminating, The Ten Equations shows how math really can change your life.

    One of the ten greatest books written on poker, this must-have book should be in every player's library.  If you're serious about winning, you'll realize that most of the profit comes from being able to read your opponents.  Caro reveals the secrets of interpreting tells - physical reactions that reveal information about a player's cards - such as shrugs, sighs, shaky hands, eye contact, and many more.  Learn when opponents are bluffing, when they aren't and why - based solely on their mannerisms.  Over 170 photos of players in action and play-by-play examples show the actual tells.  These powerful ideas will give you the decisive edge.  320 pages

    While many of the mathematicians and software engineers on Wall Street failed when their abstractions turned ugly in practice, a special breed of physicists has a much deeper history of revolutionizing finance. Taking us from fin-de-siècle Paris to Rat Pack-era Las Vegas, from wartime government labs to Yippie communes on the Pacific coast, Weatherall shows how physicists successfully brought their science to bear on some of the thorniest problems in economics, from options pricing to bubbles.The crisis was partly a failure of mathematical modeling. But even more, it was a failure of some very sophisticated financial institutions to think like physicists. Models—whether in science or finance—have limitations; they break down under certain conditions. And in 2008, sophisticated models fell into the hands of people who didn’t understand their purpose, and didn’t care. It was a catastrophic misuse of science.The solution, however, is not to give up on models; it's to make them better. Weatherall reveals the people and ideas on the cusp of a new era in finance. We see a geophysicist use a model designed for earthquakes to predict a massive stock market crash. We discover a physicist-run hedge fund that earned 2,478.6% over the course of the 1990s. And we see how an obscure idea from quantum theory might soon be used to create a far more accurate Consumer Price Index.Both persuasive and accessible, The Physics of Wall Street is riveting history that will change how we think about our economic future.

    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it will explore these, and many other, tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.