In this Very Short Introduction, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics. Indeed, Higgins paints a crystal-clear picture of the number world, showing how the modern number system matured over many centuries, and introducing key concepts such as integers, fractions, real and imaginary numbers, and complex numbers. Higgins sheds light on such fascinating topics as the series of primes, describing how primes are now used to encrypt confidential data on the internet. He also explores the infinite nature of number collections and explains how the so-called real numbers knit together to form the continuum of the number line. Written in the fashion of Higgins' highly popular science paperbacks, Numbers accurately explains the nature of numbers and how so-called complex numbers and number systems are used in calculations that arise in real problems.

    The book describes dramatic breakthroughs in our knowledge of how sleep occurs, what it does, and what happens to our health if we do not have enough. The authors consider the impact of modern society, examining the relationship between sleep and our 24/7 culture.

    Johnson, this brilliant, compact survey stretches across the centuries, exploring the major literary forms (poetry, novel, drama, essay and more), the many histories and theories of the very idea of literature, and the role of writers in shaping English, British, and post-imperial identities. Bate illuminates the work of Chaucer, Shakespeare, Wordsworth, Dickens, and many other major figures of English literature. He looks at the Renaissance, Romanticism, and Modernism, at the birth of the novel and the Elizabethan invention of the idea of a national literature, and at the nature of writing itself. Ranging from children's literature to biography, this is an indispensable guide and an inspiration for anyone interested in England's magnificent literary heritage.

    In 1800 it was overwhelmingly rural, agrarian, multilingual, and almost half-Celtic. A century later it was largely urban and English. The effects of the Industrial Revolution caused cities to swell enormously. London, for example, grew from about 1 million people to over 6 million. Abroad, the British Empire was reaching its apex, while at home the world came to marvel at the Great Exhibition of 1851 with its crowning achievement--the Crystal Palace. Historians Christopher Harvie and Colin Matthew present a comprehensive and authoritative guide to the social, economic, and political events that marked the era on which many believed the sun would never set.

    Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing-and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity. It is now over a hundred years since he made these discoveries, and yet the general public is still largely unaware of them. Filled with illuminating anecdotes and fascinating accounts of experiments, this book aims to introduce the interested lay person to the subject of relativity in a way which is accessible and engaging and at the same time scientifically rigorous. With relatively few mathematical equations--nothing more complicated than the Pythagoras's Theorem--this VSI packs a lot time into very little space, and for anyone who has felt intimidated by Einstein's groundbreaking theory, it offers the perfect place to start. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    As a concept and a practice, it has attracted the attention of theologians, anthropologists, psychologists, sociologists, artists, and historians over the centuries. This Very Short Introduction explains why. Magic has been defined in terms of the false religions of others, as an evolutionary stage in human thought, a universal state of mind, and a liberating expression of the imagination. For hundreds of millions of people today, no matter their religious persuasion, magic is a real force that helps them to overcome misfortune, poverty, and illness. Indeed, with magic as relevant today as it ever was, it raises questions about the meaning of human progress.

    Despite this, and perhaps in part because of its prevalence in the media, it is often denigrated as trivial and superficial, as a sign of vanity and narcissism. Written by a highly regarded authority on twentieth-century fashion, this Very Short Introduction offer a wide-ranging and revealing look at fashion that discusses everything from production and design, to couture and retailing, to the wider role of fashion in society. This lively book illuminates the structure of the fashion industry and the range of professionals involved in its creation, and it provides cogent insight into its historical, social and cultural contexts. It also sheds light on how fashion has developed, while raising questions about its ethical and controversial aspects, such as the use of fur, exploitative trading, and poor working conditions for laborers.

    Negotiations for the accession of six new states have begun, and membership, which already covers almost all of Western Europe, will soon extend to most of Central and Eastern Europe. The Union's institutions have been reformed, and its powers may soon reach beyond the economy and the environment into the fields of foreign policy and defense. This thorough yet succinct introduction has been completely updated to take the many recent developments into account. John Pinder provides a detailed and coherent view of the evolution of the European Union, and investigates its future as Europe thrives in the new millennium.

    Revealing the intriguing and challenging nature of legal philosophy with clarity and enthusiasm, Raymond Wacks explores the notion of law and its role in our lives. Referring to key thinkers from the classical world to the modern, he looks at the central questions behind legal theory that have always fascinated lawyers and philosophers, as well as anyone who ever wondered about law's relation to justice, morality, and democracy.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    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.

    Boyer provides a wide-ranging and authoritative history of America, capturing in a compact space the full story of our nation. Ranging from the earliest Native American settlers to the presidency of Barack Obama, this Very Short Introduction offers anilluminating account of politics, diplomacy, and war as well as the full spectrum of social, cultural, and scientific developments that shaped our country.Here is a masterful picture of America's achievements and failures, large-scale socio-historical forces, and pivotal events. Boyer sheds light on the colonial era, the Revolution and the birth of the new nation; slavery and the Civil War; Reconstruction and the Gilded Age; the Progressive era, theRoaring Twenties and the Great Depression; the two world wars and the Cold War that followed; right up to the tragedy of 9/11, the wars in Iraq and Afghanistan, and the epoch-making election of Barack Obama. Certain broad trends shape much of the narrative--immigration, urbanization, slavery, continental expansion, the global projection of U.S. power, the centrality of religion, the progression from an agrarian to an industrial to a post-industrial economic order. Yet in underscoring such large themes, Boyer also highlights the diversity of the American experience, the importance ofindividual actors, and the crucial role of race, ethnicity, gender, and social class in shaping the contours of specific groups within the nation's larger tapestry. And along the way, he touches upon the cultural milestones of American history, from Tom Paine's The Crisis to Allen Ginsberg's Howl.American History: A Very Short Introduction is a panoramic history of the United States, one that covers virtually every topic of importance--and yet can be read in a single day.

    He recounts how the studio system rose out of the ashes of Thomas Edisons trust to create the handful of companies that have dominated global screens and imaginations for more than 100 years. Throughout, he reveals that the elements we take to be a natural part of the Hollywood experience--stars, genre-driven storytelling, blockbuster franchises, etc.--are really the product of cultural, political, and commercial forces. In many ways, Hollywood has remained the same for over a century. It has always been a global industry based in the U.S., and its storytelling has always unfolded across media, adapting plays, book, and comics and spinning off product tie-ins, television series, and social media campaigns. But major events have also continually remade Hollywood. The studios have weathered wars, disruptive new technologies, and competition by adopting a strategy of risk management and assimilation. This book explores the challenges of new technologies, including sound, home video, and computer graphics. And it examines Hollywoods responses to World War II, independent film movements, and regulations imposed by Washington. Hollywood: A Very Short Introduction is filled with discussions of well-known movies, stars, and directors, encapsulating the past century of research on Hollywood while adding many original insights and stories. It is the perfect introduction for readers who want to better understand the history and functioning of our screen-saturated world. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

    Yet there is much more to the debate than theclash of these extremes. As Thomas Dixon shows in this balanced and thought-provoking introduction, a whole range of views, subtle arguments, and fascinating perspectives can be found on this complex and centuries-old subject. He explores the key philosophical questions that underlie the debate, but also highlights the social, political, and ethical contexts that have made the tensions between science and religion such a fraught and interesting topic in the modern world. Dixon emphasizes how the modern conflict between evolution and creationism is quintessentially an American phenomenon, arising from the culture and history of the United States, as exemplified through the ongoing debates about how to interpret the First-Amendment's separation of church and state. Along the way, he examines landmark historical episodes such as the Galileo affair, Charles Darwin's own religious andscientific odyssey, the Scopes Monkey Trial in Tennessee in 1925, and the Dover Area School Board case of 2005, and includes perspectives from non-Christian religions and examples from across the physical, biological, and social sciences.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    Highlighting the historical development and continued relevance of borders, Alexander Diener and Joshua Hagen offer a powerful counterpoint to the idea of an imminent borderless world, underscoring the impact borders have on a range of issues, such as economic development, inter- and intra-state conflict, global terrorism, migration, nationalism, international law, environmental sustainability, and natural resource management. Diener and Hagen demonstrate how and why borders have been, are currently, and will undoubtedly remain hot topics across the social sciences and in the global headlines for years to come. This compact volume will appeal to a broad, interdisciplinary audience of scholars and students, including geographers, political scientists, anthropologists, sociologists, historians, international relations and law experts, as well as lay readers interested in understanding current events.

    In this account of his life and work A. C. Grayling introduces both his technical contributions to logic and philosophy, and his wide-ranging views on education, politics, war, and sexual morality. Russell is credited with being one of the prime movers of Analytic Philosophy, and with having played a part in the revolution in social attitudes witnessed throughout the twentieth-century world. This introduction gives a clear survey of Russell's achievements across a wide ange.