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.

    Nearly every regime today claims to be democratic, but not all democracies allow free politics, and free politics existed long before democratic franchises. This book is a short account of the history of the doctrine and practice of democracy, from ancient Greece and Rome through the American, French, and Russian revolutions, and of the usages and practices associated with it in the modern world. It argues that democracy is a necessary but not asufficient condition for good government, and that ideas of the rule of law, and of human rights, should in some situations limit democratic claims.

    This Very Short Introduction looks at the importance accorded to the Bibleby different communities and cultures and attempts to explain why it has generated such a rich variety of uses and interpretations. It explores how the Bible was written, the development of the canon, the role of Biblical criticism, the appropriation of the Bible in high and popular culture, and itsuse for political ends.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.

    They changed the course of history, but the myth theyestablished was even stranger than their real achievements. This Very Short Introduction deploys the latest scholarship to shatter and replace the traditional narrative. Chapters explore New World civilizations prior to the invasions, the genesis of conquistador culture on both sides of theAtlantic, the roles black Africans and Native Americans played, and the consequences of the invasions. The book reveals who the conquistadors were and what made their adventures possible.

    The authors introduce the general reader to some of the most important basic findings, concepts, and procedures of evolutionary biology, as it has developed since the first publications of Darwin and Wallace on the subject, over 140 years ago. They show how evolution provides a unifying set of principles for the whole of biology and sheds light on the relation of human beings to the universe and each other.

    Drawing on a number of accessible examples, the author prompts us to call on our own musical experiences in order to think more critically about the roles of the performers and the listener, about music as a commodity and an experience, what it means to understand music, and the values we ascribe to it. This very short introduction, written with both humor and flair, begins with a sampling of music as human activity and then goes on to consider the slippery phenomenon of how music has become an object of thought. Covering not only Western and classical music, Cook touches on all types from rock to Indonesian music and beyond. Incorporating musical forms from every continent, Music will make enjoyable reading for beginner and expert alike. 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.

    In this Very Short Introduction, Geoffrey Hosking discusses all aspects of Russian history, from thestruggle by the state to control society to the transformation of the nation into a multi-ethnic empire, Russia's relations with the West, and the post-Soviet era. Hosking, a leading international authority, examines Russian history in an impartial way, arguing that Good Russia and Bad Russiaare one and the same. He also evaluates important individuals in Russian history, from Peter the Great and Catherine II to Lenin and Stalin.

    In many European countries, they provided the stimulus for radical social and political change--particularly in Spain, Germany, and Italy--and are frequently viewed in these places as the starting point of their modern histories. In this Very Short Introduction, Mike Rapport provides a compact overview of these pivotal wars. He begins with the French Revolution and the French Revolutionary wars of 1792-1803, which set the stage for the rise of Napoleon, and then examines the Napoleonic Wars in two acts--the years in which the French dominated the European landscape and the years when an allied Europe fought back, leading to Napoleon's final defeat at the Battle of Waterloo. Rapport sheds light on the social, political, and institutional aspects of warfare in the Napoleonic era, and he provides a fascinating discussion of the ways and means with which these wars were fought, looking at the tactics, strategies, and weaponry of the time. Finally, he illuminates the significance of the wars, and their legacy, in both specific national contexts and from a wider global perspective.About the Series:Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.

    From humble beginnings on the seven hills beside the Tiber, the city of Rome grew to dominate the ancient Mediterranean. Led by her senatorial aristocracy, Republican armies defeated Carthage and the successor kingdoms of Alexander the Great, and brought the surrounding peoples to east and west into the Roman sphere. In this Very Short Introduction, David M. Gwynn provides a fascinating introduction to the history of the Roman Republic, ranging from the origins of Rome and the vivid Roman legends that surround the foundations of the city, to the overthrow of the monarchy in 509 BC, the five hundred years of republican rule, the rise of Julius Caesar and Caesar Augustus, and the establishment of the Principate. Gwynn considers the political structure of the Republic, including its unique constitution, and he highlights literary and material sources, bringing to life the culture and society of Republican Rome. He also reflects on the Roman values and beliefs of the time, in order to shed light on the Republic's dramatic rise and fall. Finally, Gwynn reflects on the remarkable legacy of the Roman Republic, including its modern-day resonance and legacy in literature and in film, where it is often presented as a model, a source of inspiration, but also a warning.

    We all have a mental picture of ancient Egypt, but is it the right one? How much do we really know about this once great civilization?In this absorbing introduction, Ian Shaw, one of the foremost authorities on Ancient Egypt, describes how our current ideas about Egypt are based not only on the thrilling discoveries made by early Egyptologists but also on fascinating new kinds of evidence produced by modern scientific and linguistic analyses. He also explores the changing influences on our responses to these finds, by examining the impact of Egyptology on various aspects of popular culture such as literature, cinema, opera, and contemporary art. He considers all aspects of ancient Egyptian culture, from tombs and mummies to the discovery of artifacts and the decipherment of hieroglyphs, and from despotic pharaohs to animal-headed gods. From the general reader interested in Ancient Egypt, to students and teachers of ancient history and archaeology, to museum-goers, this Very Short Introduction will not disappoint.

    Featuring many striking photos, this Very Short Introduction offers a fascinating portrait of the unique world of each planet as well as an illuminating discussion of moons, asteroids, and Trans-Neptunian objects. Leading planetary scientist David A. Rothery, who has chaired the European Space Agency's Mercury surface and composition working group since 2007, gives a stimulating overview of the origin, nature, and evolution of our Solar System, including the controversial issues of what qualifies as a planet, and what conditions are required for a planetary body to support life. He explains how the surfaces of planets and moons have been sculpted by geology, weather, and impacts by meteors and asteroids. Rothery shows how our knowledge has advanced over the centuries, and how it has expanded at a dramatic rate in recent years, going far beyond our Solar System to explore planets orbiting distant stars.

    Aquinas was a controversial figure in his time who was often engaged in fierce theological debates. He was the foremost classical proponent of naturaltheology, and the father of the Thomistic school of philosophy and theology. This Very Short Introduction will look at Aquinas in a historical context, and explore the Church and culture into which Aquinas was born. It will consider Aquinas as philosopher and theologian, and will look at therelationship between philosophy and religion in the thirteenth century. Fergus Kerr, in this engaging and informative introduction, makes the Summa Theologiae, Aquinas's greatest single work, accessible to new readers. He also sheds valuable light on the importance of Thomas Aquinas in modern times, showing why Aquinas matters now, illustrating the significant role that the writings of Aquinas play in contemporary debate.

    This Very Short Introduction offers an indispensable starting point for anyone who needs to quickly know the themes and controversies that have shaped modern China. Prize-winning author and scholar Rana Mitter examines the modern history, politics, economy, and thriving cultural scene of contemporary China, and its relations with the wider world. This lively guide covers a range of social issues from the decline of footbinding and the position of women in society, to the influence of television and film, and the role of the overseas Chinese diaspora. It covers many prominent figures as well, such as the Communist leaders, the last emperors, and prominent writers and artists throughout China's history.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

    However, events such as the verbal and physical attacks on Sikhs just after September 11 indicated that they were being mistaken for Muslims, and suggests that the raising of sufficient and appropriate awareness about Sikhism still needs to be addressed. This book is one of the first to introduce newcomers to Sikhism's meanings, beliefs, practices, rituals, and festivals. Eleanor Nesbitt highlights the key threads in the fascinating history, from the Gurus and the development of the Sikh appearance, to martyrdom and militarization in the 17th and 18th centuries, and the diaspora. She also examines the recent proliferation of Sikh lifestyles in today's news and entertainment media. This book is an essential guide to increasing understanding of the Sikh religion and culture.