Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

    He also looks at philosophical issues in particular sciences, including the problem of classification in biology, and the nature of space and time in physics. The final chapter touches on the conflicts between science and religion, and explores whether science is ultimately a good thing.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 clear introduction to ethics Simon Blackburn tackles the major moral questions surrounding birth, death, happiness, desire and freedom, showing us how we should think about the meaning of life, and how we should mistrust the soundbite-sized absolutes that often dominate moral debates.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.

    Years before synchronized sound became the norm, projected moving images were shown to musical accompaniment, whether performed by a lone piano player or a hundred-piece orchestra. Today film music has become its own industry, indispensable to the marketability of movies around the world.Film Music: A Very Short Introduction is a compact, lucid, and thoroughly engaging overview written by one of the leading authorities on the subject. After opening with a fascinating analysis of the music from a key sequence in Quentin Tarantino's Reservoir Dogs, Kathryn Kalinak introduces readers not only to important composers and musical styles but also to modern theoretical concepts about how and why film music works. Throughout the book she embraces a global perspective, examining film music in Asia and the Middle East as well as in Europe and the United States. Key collaborations between directors and composers--Alfred Hitchcock and Bernard Herrmann, Akira Kurosawa and Fumio Hayasaka, Federico Fellini and Nino Rota, to name only a few--come under scrutiny, as do the oft-neglected practices of the silent film era. She also explores differences between original film scores and compilation soundtracks that cull music from pre-existing sources.

    In this Very Short Introduction, renowned evolutionary scholar Bernard Wood traces the history of paleoanthropology from its beginnings inthe eighteenth century to today's latest fossil finds. Along the way we are introduced to the lively cast of characters, past and present, involved in evolutionary research. Although concentrating on the fossil evidence for human evolution, the book also covers the latest genetic evidence aboutregional variations in the modern human genome that relate to our evolutionary history. Wood draws on over thirty years of experience to provide an insiders view of the field, and demonstrates that our understanding of human evolution is critically dependent on advances in related sciences such aspaleoclimatology, geochronology, systematics, genetics, and developmental biology. This is an ideal introduction for anyone interested in the origins and development of humankind.

    Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Christian W. McMillen provides a concise yet comprehensive account of pandemics throughout human history, illustrating how pandemic disease has shaped history and, at the same time, social behavior has influenced pandemic disease. Extremely interesting from a medical standpoint, the study of pandemics also provides unexpected, broader insights into culture and politics.

    Consciousness: A Very Short Introduction challenges readers to reconsider key concepts such as personality, free will, and the soul. How can a physical brain create our experience of the world? What creates our identity? Do we really have free will? Could consciousness itself be an illusion? Exciting new developments in brain science are opening up these debates, and the field has now expanded to include biologists, neuroscientists, psychologists, and philosophers. This book clarifies the potentially confusing arguments and clearly describes the major theories, with illustrations and lively cartoons to help explain the experiments. Topics include vision and attention, theories of self, experiments on action and awareness, altered states of consciousness, and the effects of brain damage and drugs. This lively, engaging, and authoritative book provides a clear overview of the subject that combines the perspectives of philosophy, psychology, and neuroscience--and serves as a much-needed launch pad for further exploration of this complicated and unsolved issue.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.

    Walters examines the difficulties and inequities that women still face, more than forty years after the new wave of 1960s feminism--difficulties, particularly, in combining domesticity, motherhood and work outside the home. How much have women's lives really changed? In the West, women still come up against the glass ceiling at work, with most earning considerably less than their male counterparts. What are we to make of the now commonplace insistence that feminism deprives men of their rights and dignities? And how does one tackle the issue of female emancipation in different cultural and economic environments--in, for example, Islam, Hinduism, the Middle East, Africa, and the Indian sub-continent?

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    Born in 1926 in France, over the course of his life he dabbled in drugs, politics, and the Paris SM scene, all whilst striving to understand the deep concepts of identity, knowledge, and power.From aesthetics to the penal system; from madness and civilisation to avant-garde literature, Foucault was happy to reject old models of thinking and replace them with versions that are still widely debated today. A major influence on Queer Theory and gender studies (he was openly gay and died of an AIDS-related illness in 1984), he also wrote on architecture, history, law, medicine, literature, politics and of course philosophy, and even managed a best-seller in France on a book dedicated to the history of systems of thought.Because of the complexity of his arguments, people trying to come to terms with his work have desperately sought introductory material that makes his theories clear and accessible for the beginner. Ideally suited for the Very Short Introductions series, Gary Gutting presents a comprehensive but non-systematic treatment of some highlights of Foucault's life and thought. Beginning with a brief biography to set the social and political stage, he then tackles Foucault's thoughts on literature, in particular the avant-garde scene; his philosophical and historical work; his treatment of knowledge and power in modern society; and his thoughts on sexuality.

    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.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    Dana Arnold also examines the many different ways of writing about art, and the changing boundaries of the subject of art history.Other topics covered include the canon of art history, the role of the gallery, "blockbuster" exhibitions, the emergence of social histories of art (such as feminist art history or queer art history), and the impact of photography. The development of art history using artifacts such as the altarpiece, the portrait, or pornography to explore social and cultural issues such as consumption, taste, religion, and politics is discussed. And the book also explains how the traditional emphasis on periods and styles originated in western art production and can obscure other approaches.

    To place Jesus in his proper historical context, as a Jew from Galilee in the early first century of our era, Bauckham looks at Jewish religion and society in the land of Israel under Roman rule. He explores Jesus' symbolic practices as well as his teachings, looks at his public career and emphasizes how his actions, such as healing and his association with notorious sinners, were just as important as his words. Bauckham writes that Jesus was devoted to the God of Israel, with a special focus on God's fatherly love and compassion, and like every Jewish teacher he expounded the Torah, but did so in his own distinctive way. After a discussion about the way Jesus understood himself and what finally led to his death on a Roman cross, Bauckham concludes by considering the significance Jesus has come to have for Christian faith worldwide.