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This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chos...
"A classic."—New York Times "Seminal, epochal, path-breaking . . . a Democracy in America for our times."—The Nation From the bestselling author of Bowling Alone, a landmark account of the secret of successful democracies Why do some democratic governments succeed and others fail? In a book that has received attention from policymakers and civic activists in America and around the world, acclaimed political scientist and bestselling author Robert Putnam and his collaborators offer empirical evidence for the importance of "civic community" in developing successful institutions. Their focus is on a unique experiment begun in 1970, when Italy created new governments for each of its regions. After spending two decades analyzing the efficacy of these governments in such fields as agriculture, housing, and healthcare, they reveal patterns of associationism, trust, and cooperation that facilitate good governance and economic prosperity. The result is a landmark book filled with crucial insights about how to make democracy work.
Updated to include a new chapter about the influence of social media and the Internet—the 20th anniversary edition of Bowling Alone remains a seminal work of social analysis, and its examination of what happened to our sense of community remains more relevant than ever in today’s fractured America. Twenty years, ago, Robert D. Putnam made a seemingly simple observation: once we bowled in leagues, usually after work; but no longer. This seemingly small phenomenon symbolized a significant social change that became the basis of the acclaimed bestseller, Bowling Alone, which The Washington Post called “a very important book” and Putnam, “the de Tocqueville of our generation.” Bowling...
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From the author of Bowling Alone and Our Kids, a “sweeping yet remarkably accessible” (The Wall Street Journal) analysis that “offers superb, often counterintuitive insights” (The New York Times) to demonstrate how we have gone from an individualistic “I” society to a more communitarian “We” society and then back again, and how we can learn from that experience to become a stronger, more unified nation. Deep and accelerating inequality; unprecedented political polarization; vitriolic public discourse; a fraying social fabric; public and private narcissism—Americans today seem to agree on only one thing: This is the worst of times. But we’ve been here before. During the Gi...
The Impact of Complex Trauma on Development describes what happens cognitively and emotionally, behaviorally and relationally, to people who are repeatedly traumatized in childhood. Part One brings together trauma theory with a number of theories of human development. It directly addresses and describes developmental pathology and its origins. Through powerful examples, it conveys to the reader the pain and destruction caused by ongoing trauma, abuse, and continuous stress. Part Two, written from the perspective of a clinician who has worked extensively with traumatized children and adults, is primarily directed to mental health professionals and graduate students. These chapters are devoted...
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