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.

    There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.

    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.

    In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

    Maybe you’ve always dreamt of doing your own thing and earning money under your own terms but are too scared to take the leap. Or perhaps you feel trapped in a job that pays the bills but just doesn’t do it for you. You’re not alone. Our relationship with money is linear; we’re taught more is better, but that’s about it! We rarely question what financial success and freedom mean for us personally or educate ourselves on how to be smart with our money and earn it in the way that we want. Starting with the most important question ‘what does a plentiful and financially successful life mean to YOU?’, this book will educate and empower the reader with practical activities and digestible advice on the topics of Understanding, Earning, Making, Investing and Spending your money. From getting on the property ladder, negotiating your way through a career pivot, to getting a pay rise, making an investment or starting the business you’ve always dreamed about, this book is a blueprint for financial freedom. "

    V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.

    Xenophobia is rampant and commonly reflected in elections across the continent. Great Britain may hold a referendum on whether to abandon the union altogether. Spurred by anti-EU sentiments due to the euro crisis, national interests conflict with a shared vision for the future of Europe. Is it too late to preserve the union that generated unprecedented peace for more than half a century? This is no mere academic question with limited importance for America and the rest of the world. In the past decade, the EU has declined from a unified global power to a fractious confederation of states with staggering unemployment resentfully seeking relief from a reluctant Germany. If the EU collapses and the former member states are transformed again from partners into rivals, the US and the world will confront the serious economic and political consequences that follow. In a series of revealing interviews conducted by Dr. Gregor Peter Schmitz, George Soros -- a man of vast European experience whose personal past informs his present concerns -- offers trenchant commentary and concise, prescriptive advice: The euro crisis was not an inevitable consequence of integration, but a result of avoidable mistakes in politics, economics, and finance; and excessive faith in the self-regulating financial markets that Soros calls market fundamentalism inspired flawed institutional structures that call out for reform. Despite the considerable perils of this period, George Soros maintains his faith in the European Union as a model of open society. This book is a testament to his vision for a peaceful and productive Europe.

    It is written to impart a sense of intellectual history of biochemistry, an understanding of the tools and approaches used to solve biochemical puzzles, and a hint of the excitement that accompanies new discoveries. This edition has been thoroughly updated to reflect the most recent advances in biochemistry, particularly in the areas of genomics and structural biology. A new chapter focuses on cytoskeletal and motor proteins, currently one of the most active areas of research in biochemistry.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    If it takes a book to get it across, I hope this book will do it. It ought to.”—Thomas Schelling, Distinguished University Professor, School of Public Policy, University of Maryland, and 2005 Nobel Prize Laureate in Economics “With humor, insight, piercing logic and a nod to history, Ziliak and McCloskey show how economists—and other scientists—suffer from a mass delusion about statistical analysis. The quest for statistical significance that pervades science today is a deeply flawed substitute for thoughtful analysis. . . . Yet few participants in the scientific bureaucracy have been willing to admit what Ziliak and McCloskey make clear: the emperor has no clothes.”—Kenneth Rothman, Professor of Epidemiology, Boston University School of Health The Cult of Statistical Significance shows, field by field, how “statistical significance,” a technique that dominates many sciences, has been a huge mistake. The authors find that researchers in a broad spectrum of fields, from agronomy to zoology, employ “testing” that doesn’t test and “estimating” that doesn’t estimate. The facts will startle the outside reader: how could a group of brilliant scientists wander so far from scientific magnitudes? This study will encourage scientists who want to know how to get the statistical sciences back on track and fulfill their quantitative promise. The book shows for the first time how wide the disaster is, and how bad for science, and it traces the problem to its historical, sociological, and philosophical roots. Stephen T. Ziliak is the author or editor of many articles and two books. He currently lives in Chicago, where he is Professor of Economics at Roosevelt University. Deirdre N. McCloskey, Distinguished Professor of Economics, History, English, and Communication at the University of Illinois at Chicago, is the author of twenty books and three hundred scholarly articles. She has held Guggenheim and National Humanities Fellowships. She is best known for How to Be Human* Though an Economist (University of Michigan Press, 2000) and her most recent book, The Bourgeois Virtues: Ethics for an Age of Commerce (2006).

    

    An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organization-these are the advantages that Mathematics for Economists brings to today’s classroom.

    Addressing the growing demand to learn how to manage personal investments and finances, the authors have turned the spotlight on individual rather than institutional investors. Their strong real-word focus includes superior coverage of mutual funds, international investments, and investment decision techniques. The new edition makes use of the Internet through exercises and cross references to Internet resources. An accompanying CD-ROM offers hands-on practice in analyzing companies for investment purposes. All these distinctive features ensure that Fundamentals of Investing will continue to define the market for years to come.

    Fundamentals Of Mathematical Statistics is written by SC Gupta and VK Kapoor and published by SULTAN CHAND & SONS, Delhi.

    Jackson, Sly Stallone, Richard Zanuck, and relatives of an Indonesian dictator and Saudi Arabia’s king). He then flashes back to the creation of this fabled district, built on dusty lima bean fields and carved out of the rugged impassible mountains between the city and the sea. Using the century-long evolution from adobe huts to $100 million mansions as the baseline of the story, he reveals how a few powerful and often ruthless oil and railroad magnates imposed their idyllic vision of the good life on the Los Angeles landscape to create the legendary communities known as the Platinum Triangle.            Gross goes on to give vivid, riveting accounts of the most lavish of the many lavish houses that started springing up almost immediately (with only a brief slowdown during the Depression). But the stories of these homes are just a window onto the lives of their owners and occupants over the course of the twentieth century, and onto the bigger story of a people and a storied region that have become, in Gross’s words, “the Mecca of self-invention.”            As one might imagine, there is a truly glittering cast of characters. Apart from the many Hollywood stars who have passed through these houses—Douglas Fairbanks Jr., Harold Lloyd, Marilyn Monroe, Jayne Mansfield, George Hamilton, Tony Curtis, Cher, to name just a few—you will meet decadent Spanish land-grant families, desperado oilmen and railroad titans, the country’s first all-powerful corporate legends, con men and pyramid schemers, porn magnates, and Arab potentates, not to mention contemporary tabloid luminaries from the worlds of business and entertainment. Taken altogether, their stories read like a cross between Valley of the Dolls, Hollywood Babylon, and Gross’s own 740 Park—with a little of the film Chinatown thrown in too.             Los Angeles provides Michael Gross with his broadest canvas yet; Unreal Estate will surprise, fascinate, and most of all entertain you with a story you don’t know about a place you think you do.