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An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition.
A look at the history of censorship, science, and magic from the Middle Ages to the post-Reformation era. Neil Tarrant challenges conventional thinking by looking at the longer history of censorship, considering a five-hundred-year continuity of goals and methods stretching from the late eleventh century to well into the sixteenth. Unlike earlier studies, Defining Nature’s Limits engages the history of both learned and popular magic. Tarrant explains how the church developed a program that sought to codify what was proper belief through confession, inquisition, and punishment and prosecuted what they considered superstition or heresy that stretched beyond the boundaries of religion. These efforts were continued by the Roman Inquisition, established in 1542. Although it was designed primarily to combat Protestantism, from the outset the new institution investigated both practitioners of “illicit” magic and inquiries into natural philosophy, delegitimizing certain practices and thus shaping the development of early modern science. Describing the dynamics of censorship that continued well into the post-Reformation era, Defining Nature's Limits is revisionist history that will interest scholars of the history science, the history of magic, and the history of the church alike.
Examines the factors which limit human economic and population growth and outlines the steps necessary for achieving a balance between population and production. Bibliogs
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The continuous expansion of human rights can often appear to be positive, yet it provokes criticism. This volume argues against the internationalisation of human rights proving the world is moving from bilateralism to community interests, stating contentious supervision, evaluation, and substitution are far more common than genuine cooperation.
Graham Priest presents an expanded edition of his exploration of the nature and limits of thought. Embracing contradiction and challenging traditional logic, he engages with issues across philosophical borders, from the historical to the modern, Eastern to Western, continental to analytic.
This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter focuses on the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones. This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.
In What Money Can't Buy, renowned political philosopher Michael J. Sandel rethinks the role that markets and money should play in our society. Should we pay children to read books or to get good grades? Should we put a price on human life to decide how much pollution to allow? Is it ethical to pay people to test risky new drugs or to donate their organs? What about hiring mercenaries to fight our wars, outsourcing inmates to for-profit prisons, auctioning admission to elite universities, or selling citizenship to immigrants willing to pay? In his New York Times bestseller What Money Can't Buy, Michael J. Sandel takes up one of the biggest ethical questions of our time: Isn't there something wrong with a world in which everything is for sale? If so, how can we prevent market values from reaching into spheres of life where they don't belong? What are the moral limits of markets? Over recent decades, market values have crowded out nonmarket norms in almost every aspect of life. Without quite realizing it, Sandel argues, we have drifted from having a market economy to being a market society. In Justice, an international bestseller, Sandel showed himself to be a master at illuminating, with clarity and verve, the hard moral questions we confront in our everyday lives. Now, in What Money Can't Buy, he provokes a debate that's been missing in our market-driven age: What is the proper role of markets in a democratic society, and how can we protect the moral and civic goods that markets do not honor and money cannot buy?