Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods and cultures. The book illuminates some of the varied contexts in which people have learned, used, and handed on mathematics, drawing on fascinating case studies from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. By drawing out some common threads, Stedall provides an introduction not only to the mathematics of the past but to the history of mathematics as a modern academic discipline.

    It can refer to ecclesiastical architecture, supernatural fiction, cult horror films, and a distinctive style of rock music. It has influenced political theorists and social reformers, as well as Victorian home décor and contemporary fashion. Nick Groom shows how the Gothic has come to encompass so many meanings by telling the story of the Gothic from the ancient tribe who sacked Rome to the alternative subculture of the present day.This unique Very Short Introduction reveals that the Gothic has predominantly been a way of understanding and responding to the past. Time after time, the Gothic has been invoked in order to reveal what lies behind conventional history. It is a way of disclosing secrets, whether in the constitutional politics of seventeenth-century England or the racial politics of the United States. While contexts change, the Gothic perpetually regards the past with fascination, both yearning and horrified. It reminds us that neither societies nor individuals can escape the consequences of their actions.The anatomy of the Gothic is richly complex and perversely contradictory, and so the thirteen chapters here range deliberately widely. This is the first time that the entire story of the Gothic has been written as a continuous history: from the historians of late antiquity to the gardens of Georgian England, from the mediaeval cult of the macabre to German Expressionist cinema, from Elizabethan Revenge Tragedy to American consumer society, from folk ballads to vampires, from the past to the present.

    Historical records are first found in Babylon and Egypt, and after two millennia the arithmetical astronomy of the Babylonians merged with the Greek geometrical approach to culminate in the Almagest of Ptolemy. This legacy was transmitted to the Latin West via Islam, and led to Copernicus's claim that the Earth is in motion. In justifying this Kepler converted astronomy into a branch of dynamics, leading to Newton's universal law of gravity. The book concludes with eighteenth- and nineteenth-century applications of Newton's law, and the first explorations of the universe of stars.

    In this new treatment of the subject, Hopkins focuses on the many debates surrounding these movements: the Marquis de Sade's Surrealist deification, issues of quality (How good is Dali?), the idea of the 'readymade', attitudes towards the city, the impact of Freud, attitudes to women, fetishism, and primitivism. The international nature of these movements is examined, covering the cities of Zurich, New York, Berlin, Cologne, Barcelona, Paris, London, and recently discovered examples in Eastern Europe. Hopkins explores the huge range of media employed by both Dada and Surrealism (collage, painting, found objects, performance art, photography, film), whilst at the same time establishing the aesthetic differences between the movements. He also examines the Dadaist obsession with the body-as-mechanism in relation to the Surrealists' return to the fetishized/eroticized body.

    In this Very Short Introduction, Robert C. Allen shows how the interplay of geography, globalization, technological change, and economic policy has determined the wealth and poverty of nations. Allen shows how the industrial revolution was Britain's path-breaking response to the challenge of globalization. Western Europe and North America joined Britain to form a club of rich nations, pursuing four polices--creating a national market by abolishing internal tariffs and investing in transportation, erecting an external tariff to protect their fledgling industries from British competition, creating banks to stabilize the currency and mobilize domestic savings for investment, and promoting mass education to prepare people for industrial work. Together these countries pioneered new technologies that have made them ever richer. A few countries--Japan, Soviet Russia, South Korea, Taiwan, and perhaps China--have caught up with the West through creative responses to the technological challenge and with Big Push industrialization that has achieved rapid growth through coordinated investment.

    Democracy no longer ends with a bang--in a revolution or military coup--but with a whimper: the slow, steady weakening of critical institutions, such as the judiciary and the press, and the gradual erosion of long-standing political norms. The good news is that there are several exit ramps on the road to authoritarianism. The bad news is that, by electing Trump, we have already passed the first one.Drawing on decades of research and a wide range of historical and global examples, from 1930s Europe to contemporary Hungary, Turkey, and Venezuela, to the American South during Jim Crow, Levitsky and Ziblatt show how democracies die--and how ours can be saved.