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This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.

Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.

The bestselling author of Zero shows how mathematical misinformation pervades-and shapes-our daily lives. According to MSNBC, having a child makes you stupid. You actually lose IQ points. Good Morning America has announced that natural blondes will be extinct within two hundred years. Pundits estimated that there were more than a million demonstrators at a tea party rally in Washington, D.C., even though roughly sixty thousand were there. Numbers have peculiar powers-they can disarm skeptics, befuddle journalists, and hoodwink the public into believing almost anything. "Proofiness," as Charles Seife explains in this eye-opening book, is the art of using pure mathematics for impure ends, and he reminds readers that bad mathematics has a dark side. It is used to bring down beloved government officials and to appoint undeserving ones (both Democratic and Republican), to convict the innocent and acquit the guilty, to ruin our economy, and to fix the outcomes of future elections. This penetrating look at the intersection of math and society will appeal to readers of Freakonomics and the books of Malcolm Gladwell.

This is the third in a series of catalogs and bibliographies of the Cicadoidea covering 1981-2010. The work summarizes the cicada literature, providing a means for easy access to information previously published on a particular species or to allow researchers the ability to locate similar work that has been published on other species. A total of 2,591 references are included in the bibliography. The book is a source of biological and systematic information that could be used by zoologists, entomologists, individuals interested in crop protection, and students studying entomology as well as anyone interested in cicadas or who require specific information on the insects. Each genus/species is identified with the reference, the page number, any figures (if applicable), the topics covered by the reference, any synonymies, and any biogeographic information mentioned for the species in the individual reference. An added benefit to the catalog is that it is the first complete species list for the Cicadoidea, including all synonymies and new combinations through 2012. - Provides nearly four times the number of references of the previous catalog, demonstrating the explosion of data since that time - Contains all references found that mention a genus or species name in the work - Includes more than 300 additional references that were not in the two previous works on this subject - Features the first complete species list for the Cicadoidea, including all synonymies

From one of the world’s leading economists, a compelling new vision of personal and economic freedom. We are a nation born from the conviction that people must be free. But since the middle of the last century, that idea has been co-opted. Forces on the political Right have justified exploitation by cloaking it in the rhetoric of freedom, leading to pharmaceutical companies freely overcharging for medication, a Big Tech free from oversight, politicians free to incite rebellion, corporations free to pollute, and more. How did we get here? Whose freedom are we—and should we—be thinking about? In The Road to Freedom, Nobel prize winner Joseph E. Stiglitz dissects America’s current economic system and the political ideology that created it, laying bare their twinned failure. “Free” and unfettered markets have only succeeded in delivering a series of crises: the financial crisis, the opioid crisis, and the crisis of inequality. While a small portion of the population has amassed considerable wealth, wages for most people have stagnated. Free and unfettered markets have exploited consumers, workers, and the environment alike. Such failures have fed populist movements that believe being free means abandoning any obligations citizens have to one another. As they grow in strength, these movements now pose a real threat to true economic and political freedom. As an economic advisor to presidents and as chief economist at the World Bank, Stiglitz has witnessed these profound changes firsthand. As he argues, the failures follow from the elites’ unshakeable dedication to “the neoliberal experiment.” Explicitly taking on giants such as Friedrich Hayek and Milton Friedman, Stiglitz exposes accepted ideas about our political and economic life for what they are: twisted visions that tear at the social fabric while they enrich the very few. The Road to Freedom breaks new ground, showing how economics—including recent advances in which Stiglitz has played such an important role—reframes how to think about freedom and the role of the state in a twenty-first century society. Drawing on the work of contemporary philosophers, Stiglitz explains a deeper, more humane way to assess freedoms—one that considers with care what to do when one person’s freedom conflicts with another’s. We must reimagine our existing economic and legal systems and embrace forms of collective action, including regulation and investment, if we are to create an innovative society in which everyone can flourish. The task could not be more urgent, and Stiglitz’s latest book is essential reading for those committed to the American ideal of an economic and political system that delivers well-being, opportunity, and meaningful freedoms for all.