. . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    Deciding whether to build another power generation plant in the next five years requires forecasts of future demand. Scheduling staff in a call centre next week requires forecasts of call volumes. Stocking an inventory requires forecasts of stock requirements. Telecommunication routing requires traffic forecasts a few minutes ahead. Whatever the circumstances or time horizons involved, forecasting is an important aid in effective and efficient planning. This textbook provides a comprehensive introduction to forecasting methods and presents enough information about each method for readers to use them sensibly. Examples use R with many data sets taken from the authors' own consulting experience.

    That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.

    

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    If you’ve ever sought a job or hired someone, applied to college or guided your child into a good kindergarten, asked someone out on a date or been asked out, you’ve participated in a kind of market. Most of the study of economics deals with commodity markets, where the price of a good connects sellers and buyers. But what about other kinds of “goods,” like a spot in the Yale freshman class or a position at Google? This is the territory of matching markets, where “sellers” and “buyers” must choose each other, and price isn’t the only factor determining who gets what.Alvin E. Roth is one of the world’s leading experts on matching markets. He has even designed several of them, including the exchange that places medical students in residencies and the system that increases the number of kidney transplants by better matching donors to patients. In Who Gets What — And Why, Roth reveals the matching markets hidden around us and shows how to recognize a good match and make smarter, more confident decisions.

    Over the past two centuries or so, capitalism has undergone continual change - economic cycles that lurch from boom to bust - and has always emerged transformed and strengthened. Surveying this turbulent history, Paul Mason wonders whether today we are on the brink of a change so big, so profound, that this time capitalism itself, the immensely complex system by which entire societies function, has reached its limits and is changing into something wholly new.At the heart of this change is information technology: a revolution that, as Mason shows, has the potential to reshape utterly our familiar notions of work, production and value; and to destroy an economy based on markets and private ownership - in fact, he contends, it is already doing so. Almost unnoticed, in the niches and hollows of the market system, whole swathes of economic life are changing.. Goods and services that no longer respond to the dictates of neoliberalism are appearing, from parallel currencies and time banks, to cooperatives and self-managed online spaces. Vast numbers of people are changing their behaviour, discovering new forms of ownership, lending and doing business that are distinct from, and contrary to, the current system of state-backed corporate capitalism.In this groundbreaking book Mason shows how, from the ashes of the recent financial crisis, we have the chance to create a more socially just and sustainable global economy. Moving beyond capitalism, he shows, is no longer a utopian dream. This is the first time in human history in which, equipped with an understanding of what is happening around us, we can predict and shape, rather than simply react to, seismic change.

    Veblen's The Theory of the Leisure Class is in the tradition of Adam Smith's The Wealth of Nations and Thomas Hobbes's Leviathan, yet it provides a surprisingly contemporary look at American economics and society.Establishing such terms as "conspicuous consumption" and "pecuniary emulation," Veblen's most famous work has become an archetype not only of economic theory, but of historical and sociological thought as well. As sociologist Alan Wolfe writes in his Introduction, Veblen "skillfully . . . wrote a book that will be read so long as the rich are different from the rest of us; which, if the future is anything like the past, they always will be."

    Premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps readers discover the nature of statistics and understand its essential role in scientific research.

    Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

     They were preparing to compete in a poker tournament with million-dollar stakes, but those numbers meant nothing to them.  They were accustomed to risking billions.     At the card table that night was Peter Muller, an eccentric, whip-smart whiz kid who’d studied theoretical mathematics at Princeton and now managed a fabulously successful hedge fund called PDT…when he wasn’t playing his keyboard for morning commuters on the New York subway.  With him was Ken Griffin, who as an undergraduate trading convertible bonds out of his Harvard dorm room had outsmarted the Wall Street pros and made money in one of the worst bear markets of all time.  Now he was the tough-as-nails head of Citadel Investment Group, one of the most powerful money machines on earth. There too were Cliff Asness, the sharp-tongued, mercurial founder of the hedge fund AQR, a man as famous for his computer-smashing rages as for his brilliance, and Boaz Weinstein, chess life-master and king of the credit default swap, who while juggling $30 billion worth of positions for Deutsche Bank found time for frequent visits to Las Vegas with the famed MIT card-counting team.     On that night in 2006, these four men and their cohorts were the new kings of Wall Street.  Muller, Griffin, Asness, and Weinstein were among the best and brightest of a  new breed, the quants.  Over the prior twenty years, this species of math whiz --technocrats who make billions not with gut calls or fundamental analysis but with formulas and high-speed computers-- had usurped the testosterone-fueled, kill-or-be-killed risk-takers who’d long been the alpha males the world’s largest casino.  The quants believed that a dizzying, indecipherable-to-mere-mortals cocktail of differential calculus, quantum physics, and advanced geometry held the key to reaping riches from the financial markets.  And they helped create a digitized money-trading machine that could shift billions around the globe with the click of a mouse.     Few realized that night, though, that in creating this unprecedented machine, men like Muller, Griffin, Asness and Weinstein had sowed the seeds for history’s greatest financial disaster.     Drawing on unprecedented access to these four number-crunching titans, The Quants tells the inside story of what they thought and felt in the days and weeks when they helplessly watched much of their net worth vaporize – and wondered just how their mind-bending formulas and genius-level IQ’s had led them so wrong, so fast.  Had their years of success been dumb luck, fool’s gold, a good run that could come to an end on any given day?  What if The Truth they sought -- the secret of the markets -- wasn’t knowable? Worse, what if there wasn’t any Truth?   In The Quants, Scott Patterson tells the story not just of these men, but of Jim Simons, the reclusive founder of the most successful hedge fund in history; Aaron Brown, the quant who used his math skills to humiliate Wall Street’s old guard at their trademark game of Liar’s Poker, and years later found himself with a front-row seat to the rapid emergence of mortgage-backed securities; and gadflies and dissenters such as Paul Wilmott, Nassim Taleb, and Benoit Mandelbrot.     With the immediacy of today’s NASDAQ close and the timeless power of a Greek tragedy, The Quants is at once a masterpiece of explanatory journalism, a gripping tale of ambition and hubris…and an ominous warning about Wall Street’s future.

    His chief work, Principles of Political Economy and Taxation, first published in 1817, had a profound impact and remains one of the groundworks of modern economics. Ricardo's labor theory of value, as well as his elaboration of the division of incomes, and the function of wages, rent, and trade, deeply influenced the economic philosophies of Karl Marx, John Stuart Mill, Alfred Marshall, and many others.

    Japan was going to dominate, then China. Countries were called “tigers” or “mini-dragons,” and were seen as not just development prodigies, but as a unified bloc, culturally and economically similar, and inexorably on the rise.Joe Studwell has spent two decades as a reporter in the region, and The Financial Times said he “should be named chief myth-buster for Asian business.” In How Asia Works, Studwell distills his extensive research into the economies of nine countries—Japan, South Korea, Taiwan, Indonesia, Malaysia, Thailand, the Philippines, Vietnam, and China—into an accessible, readable narrative that debunks Western misconceptions, shows what really happened in Asia and why, and for once makes clear why some countries have boomed while others have languished.Studwell’s in-depth analysis focuses on three main areas: land policy, manufacturing, and finance. Land reform has been essential to the success of Asian economies, giving a kick start to development by utilizing a large workforce and providing capital for growth. With manufacturing, industrial development alone is not sufficient, Studwell argues. Instead, countries need “export discipline,” a government that forces companies to compete on the global scale. And in finance, effective regulation is essential for fostering, and sustaining growth. To explore all of these subjects, Studwell journeys far and wide, drawing on fascinating examples from a Philippine sugar baron’s stifling of reform to the explosive growth at a Korean steel mill.Thoroughly researched and impressive in scope, How Asia Works is essential reading for anyone interested in the development of these dynamic countries, a region that will shape the future of the world.

    Strangelove’s Game will do for economics what Sophie’s World did for philosophy and E=mc2 for physics.With the infectious enthusiasm of a great teacher and a novelist’s eye for a colourful parade of often bizarre and idiosyncratic figures, Paul Strathern gives us a vivid account of the world of economics through the lives and minds of those who contributed to the growth of economic thought from the Middle Ages to the present.The familiar and iconic names – Adam Smith, Karl Marx and John Maynard Keynes – turn out to be fascinating characters, as do a host of lesser-known figures – from Luca Pacioli, a medieval monk who used a ball game to stimulate thought about probability theory (and gambling) to John von Neumann, the manic genius who invented game theory, worked on the atomic bomb, and was probably the model for Kubrick’s Dr. Strangelove. There are pessimistic priests, visionary socialists, crackpot academics, and an alleged murderer who controlled France’s finances.Paul Strathern sets their lives and thoughts against the dramatic backdrop of great events – the South Sea Bubble, the French Revolution, the Russian Revolution and the Great Crash. His lightly worn erudition makes Dr. Strangelove’s Game amazingly accessible, leaving readers enriched and enlightened.From the Hardcover edition.