It requires, in short, an understanding of probability. In this Very Short Introduction, John Haigh introduces the ideas of probability--and the different philosophical approaches to probability--and gives a brief account of the history of development of probability theory, from Galileo and Pascal to Bayes, Laplace, Poisson, and Markov. He describes the basic probability distributions and discusses a wide range of applications in science, economics, and a variety of other contexts such as games and betting. He concludes with an intriguing discussion of coincidences and some curious paradoxes.

    In this Very Short Introduction, Miri Rubin provides an exploration of the variety, change, dynamism, and sheer complexity that the period covers. From the provinces of the Roman Empire, which became Barbarian kingdoms after c.450-650, to the northern and eastern regions that became increasingly integrated into Europe, Rubin explores the emergence of a truly global system of communication, conquest, and trade by the end of the era. Presenting an insight into the challenges of life in Europe between 500-1500 -- at all levels of society -- Rubin looks at kingship and family, agriculture and trade, groups and individuals. Conveying the variety of European experiences, while providing a sense of the communication, cooperation, and shared values of the pervasive Christian culture, Rubin looks at the legacies they left behind. 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.

    Though he was a prolific writer and an original thinker of vast erudition, Jung lacked a gift for clear exposition, and his ideas are less widely appreciated than they deserve to be. Now, in this extremely accessible introduction, Anthony Stevens--one of Britain's foremost Jungian analysts--clearly explains the basic concepts of Jungian psychology: the collective unconscious, complex, archetype, shadow, persona, anima, animus, and the individualization of the Self. A small masterpiece of insight and concision, this volume offers a clear portrait of one of the twentieth century's most important and controversial thinkers.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.

    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.

    From randomized clinical trials in medical research, to statistical models of risk in banking and hedge fund industries, to the statistical tools used to probe vast astronomical databases, the field of statistics has become centrally important to how we understand our world. But the discipline underlying all these is not the dull statistics of the popular imagination. Long gone are the days of manual arithmetic manipulation. Nowadays statistics is a dynamic discipline, revolutionized by the computer, which uses advanced software tools to probe numerical data, seeking structures, patterns, and relationships. This Very Short Introduction sets the study of statistics in context, describing its history and giving examples of its impact, summarizes methods of gathering and evaluating data, and explains the role played by the science of chance, of probability, in statistical methods. The book also explores deep philosophical issues of induction--how we use statistics to discern the true nature of reality from the limited observations we necessarily must make.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.

    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.

    From the seed first planted by slave dances held in Congo Square and nurtured by early ensembles led by Buddy Belden and Joe King Oliver, jazz began its long winding odyssey across America and around the world, giving flower to a thousand different forms--swing, bebop, cool jazz, jazz-rock fusion--and a thousand great musicians. Now, in The History of Jazz, Ted Gioia tells the story of this music as it has never been told before, in a book that brilliantly portrays the legendary jazz players, the breakthrough styles, and the world in which it evolved. Here are the giants of jazz and the great moments of jazz history--Jelly Roll Morton (the world's greatest hot tune writer), Louis Armstrong (whose O-keh recordings of the mid-1920s still stand as the most significant body of work that jazz has produced), Duke Ellington at the Cotton Club, cool jazz greats such as Gerry Mulligan, Stan Getz, and Lester Young, Charlie Parker's surgical precision of attack, Miles Davis's 1955 performance at the Newport Jazz Festival, Ornette Coleman's experiments with atonality, Pat Metheny's visionary extension of jazz-rock fusion, the contemporary sounds of Wynton Marsalis, and the post-modernists of the Knitting Factory. Gioia provides the reader with lively portraits of these and many other great musicians, intertwined with vibrant commentary on the music they created. Gioia also evokes the many worlds of jazz, taking the reader to the swamp lands of the Mississippi Delta, the bawdy houses of New Orleans, the rent parties of Harlem, the speakeasies of Chicago during the Jazz Age, the after hours spots of corrupt Kansas city, the Cotton Club, the Savoy, and the other locales where the history of jazz was made. And as he traces the spread of this protean form, Gioia provides much insight into the social context in which the music was born. He shows for instance how the development of technology helped promote the growth of jazz--how ragtime blossomed hand-in-hand with the spread of parlor and player pianos, and how jazz rode the growing popularity of the record industry in the 1920s. We also discover how bebop grew out of the racial unrest of the 1940s and '50s, when black players, no longer content with being entertainers, wanted to be recognized as practitioners of a serious musical form. Jazz is a chameleon art, delighting us with the ease and rapidity with which it changes colors. Now, in Ted Gioia's The History of Jazz, we have at last a book that captures all these colors on one glorious palate. Knowledgeable, vibrant, and comprehensive, it is among the small group of books that can truly be called classics of jazz literature.

    In this Very Short Introduction, Peter Marshall illuminates the causes and consequences of this pivotal movement in western Christianity. The Reformation began as an argument aboutwhat Christians needed to do to be saved, but rapidly engulfed society in a series of fundamental changes. This book provides a lively and up-to-date guide that explains doctrinal debates in a clear and non-technical way, but also explores the effects the Reformation had on politics, society, art, and minorities. Marshall argues that the Reformation was not a solely European phenomenon, but that varieties of faith exported from Europe transformed Christianity into a truly world religion. The complex legacy of the Reformation is also assessed. Its religious fervor produced remarkable storiesof sanctity and heroism, and some extraordinary artistic achievements. But violence, holy war, and martyrdom were equally its products. A paradox of the Reformation--that it intensified intolerance while establishing pluralism--is one we still wrestle with today.

    It is an area that continues to attract and fascinate many people, even though it is generally thought to be highly complex and abstract. For some it is associated with the mystical or religious. For others it is known through the metaphysical poets who talk of love and spirituality. This Very Short Introduction goes right to the heart of the matter, getting to the basic and most important questions of metaphysical thought in order to understand the theory: What are objects? Do colors and shapes have some form of independent existence? Is the whole just a sum of the parts? What is it for one thing to cause another rather than just being associated with it? What is possible? Does time pass? By using simple questions to initiate thought about the basic issues around substance, properties, changes, causes, possibilities, time, personal identity, nothingness, and consciousness, Stephen Mumford provides a clear and down-to-earth path through this analytical tradition at the core of philosophical thought.

    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.

    Focusing on the leading figures of existentialism, including Sartre, Nietzsche, Heidegger, Kierkegaard, de Beauvoir, Merleau-Ponty, and Camus, Thomas Flynn offers a concise account of existentialism, explaining the key themes of individuality, free will, and personal responsibility, which marked the movement as a way of life, not just a way of thinking. Flynn sets the philosophy of existentialism in context, from the early phenomenologists, to its rise in the 40's and 50's, and the connections with National Socialism, Communism, and Feminism. He identifies the original definition of "existentialism," which tends to be obscured by misappropriation, and highlights how the philosophy is still relevant in our world today.

    Emerging in England in the 1650s as a radical sect challenging the status quo, the Quakers are now best known for their anti-slavery activities, their principled stance against war, and their pioneering work in penal reform. Famous Quakers include Thomas Paine, Walt Whitman, Lucretia Mott, Herbert Hoover, James Dean, Judi Dench, and A.S. Byatt. And while the group still maintains a distinctive worship method to achieve a direct encounterwith God, which has been at the heart of the movement since its beginning, Quakers today are highly diverse: some practice a protestant evangelicalism, others are no longer Christian. In this generously illustrated book, Pink Dandelion, the leading expert on Quaker Studies, draws on the latestscholarship to chart the history of the sect and its present-day diversity around the world, exploring its unique approach to worship, belief, theology and language, and ecumenism. It concludes by placing the Quakers in the wider religious picture and predicting its future.About the Series: Oxford's Very Short Introductions offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, and Literary Theory to History. Not simply a textbook of definitions, each volume provides trenchant and provocative--yet alwaysbalanced and complete--discussions of the central issues in a given topic. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how it has developed and influenced society. Whatever the area of study, whatever the topic that fascinates the reader, theseries has a handy and affordable guide that will likely prove indispensable.

    Only now, with the hindsight of the half-century since his death, can we assess his true legacy to current thought. As an experienced psychiatrist himself, Anthony Storr offers a lucid and objective look at Freud's major theories, evaluating whether they have stood the test of time, and in the process examines Freud himself in light of his own ideas. An excellent introduction to Freud's work, this book will appeal to all those broadly curious about psychoanalysis, psychology, and sociology. 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.

    Examining how and why the war was fought, as well as the historical controversies that still surround the war, Michael Howard also looks at how peace was ultimately made, and describes the potent legacy of resentment left to Germany.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.