Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.

    Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

    R is one of the most powerful and flexible statistical software packages available, and enables the user to apply a wide variety of statistical methods ranging from simple regression to generalized linear modelling. Statistics: An Introduction using R is a clear and concise introductory textbook to statistical analysis using this powerful and free software, and follows on from the success of the author's previous best-selling title Statistical Computing. * Features step-by-step instructions that assume no mathematics, statistics or programming background, helping the non-statistician to fully understand the methodology. * Uses a series of realistic examples, developing step-wise from the simplest cases, with the emphasis on checking the assumptions (e.g. constancy of variance and normality of errors) and the adequacy of the model chosen to fit the data. * The emphasis throughout is on estimation of effect sizes and confidence intervals, rather than on hypothesis testing. * Covers the full range of statistical techniques likely to be need to analyse the data from research projects, including elementary material like t-tests and chi-squared tests, intermediate methods like regression and analysis of variance, and more advanced techniques like generalized linear modelling. * Includes numerous worked examples and exercises within each chapter. * Accompanied by a website featuring worked examples, data sets, exercises and solutions: http: //www.imperial.ac.uk/bio/research/crawl... Statistics: An Introduction using R is the first text to offer such a concise introduction to a broad array of statistical methods, at a level that is elementary enough to appeal to a broad range of disciplines. It is primarily aimed at undergraduate students in medicine, engineering, economics and biology - but will also appeal to postgraduates who have not previously covered this area, or wish to switch to using R.

    It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

    It gives clear descriptions of linear systems and uses mathematics not only to prove axiomatic theory, but also to enhance physical and intuitive understanding.

    Perhaps you thought of grocery stores or something sexy like internet retailing, but chances are you didn’t think of banking. Yet, most likely you interact with a bank every time you’re paid and when you pay your bills. Banks facilitate the flow of money through the economy and even if you don’t interact with a bank daily, the businesses you deal with on a daily basis do. For all the interaction people have with banks, few understand how they work or why they work. Even fewer understand why they should consider including bank stocks in their investment portfolio. There are a lot of misconceptions about banks, including understanding what they are and what they do. For many people the word “bank” evokes images of receiving a toaster upon opening an account, or thoughts of security related to the storing of precious items in a safety deposit box. Others might go further and tap their inner Michael Moore and talk about how banks are greedy and evil. It’s our belief that banks aren’t just places to store idle savings (on which you receive virtually nothing in interest) or to cash checks, but that they should be an integral part of an investor’s portfolio. The goal of this book is to provide you with a foundation and framework with which you can both begin to understand banks, but also learn the basic tools used to analyze banks as investments.

    This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

    She survived—and, miraculously, the baby was born healthy. But that’s where the good news ends. Marcella was left paralyzed from the chest down. This accident was much more than just a physical and emotional tragedy. Like so many Americans—50 million, or one-sixth of the country’s population—neither Marcella nor her husband, Dave, who works for a small business, had health insurance. On the day of the accident, she was on her way to class for the nursing program through which she hoped to secure one of the few remaining jobs in the area with the promise of employer-provided insurance. Instead, the accident plunged the young family into the tangled web of means-tested social assistance. As a social policy scholar, Campbell thought she knew a lot about means-tested assistance programs. What she quickly learned was that missing from most government manuals and scholarly analyses was an understanding of how these programs actually affect the lives of the people who depend on them. Using Marcella and Dave’s situation as a case in point, she reveals their many shortcomings in Trapped in America’s Safety Net. Because American safety net programs are designed for the poor, Marcella and Dave first had to spend down their assets and drop their income to near-poverty level before qualifying for help. What’s more, to remain eligible, they will have to stay under these strictures for the rest of their lives, meaning they are barred from doing many of the things middle-class families are encouraged to do: Save for retirement. Develop an emergency fund. Take advantage of tax-free college savings. And, while Marcella and Dave’s story is tragic, the financial precariousness they endured even before the accident is all too common in America, where the prevalence of low-income work and unequal access to education have generated vast—and growing—economic inequality. The implementation of Obamacare has cut the number of uninsured and underinsured and reduced some of the disparities in coverage, but it continues to leave too many people open to tremendous risk.Behind the statistics and beyond the ideological battles are human beings whose lives are stunted by policies that purport to help them. In showing how and why this happens, Trapped in America’s Safety Net offers a way to change it.

    Designed for two-semester, beginning graduate courses in Mathematical Statistics, and for senior undergraduate Mathematics, Statistics, and Actuarial Science majors, this text retains its ongoing features and continues to provide students with background material.

    You are wasting your time.In a world of fake news, deep-fakes, manipulated feeds of information and divisive social-media agendas, it's easy to believe that our time is the most challenging in human history. It's just not true.It is a time of extraordinary opportunity. But only if you have the right mindset. Fear of the future breeds inaction and leads to strategic paralysis. We put off decisions until we can have certainty. We look for signals. We wait. And while we do that, the world moves on around us.Problem-solvers thrive in chaotic and uncertain times because they act to change their future. Winners recognise that in a world of growing uncertainty, you need to resort to actions on things you can control.And the only things over which you have absolute control are your attitude and your mindset. These, in turn, determine the actions you will take and that will define your future.A robust mindset is the one common characteristic Bruce Whitfield has identified in two decades of interrogating how South Africa's billionaires and start-up mavericks think differently. They are not naive Pollyannas. They don't ignore risk or hope that problems will go away. They constantly measure, manage, consider and weigh up opportunities in a tumultuous sea of uncertainty and find ways around obstacles.If, as Nobel Prize-winning economist Robert Shiller suggests, the stories we tell affect economic outcomes, then we need to tell different stories amidst the noise and haste of a rapidly evolving world.

    Readers learn the effects that their listening has on others and insight into the effects that the listening skills of others have upon them.

    This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original category theorem (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.

    Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.

    With this book, rational choice theory can be integrated into undergraduate courses throughout the discipline. Based on Professor Shepsle's popular course at Harvard, Analyzing Politics is not only an ideal text for courses in theory, methods, or introduction to political science, but also a handy supplement in courses of public policy, Congress, political parties, or any course that emphasizes rational choice analysis. Analyzing Politics provides the clear, thorough, and jargon-free introduction to rational choice theory never before available to undergraduates.

    From forensics to counterterrorism, the Riemann hypothesis to image enhancement, solving murders to beating casinos, Devlin and Lorden present compelling cases that illustrate how advanced mathematics can be used in state-of-the-art criminal investigations.