Suitable for advanced undergraduates and graduate students, this self-contained overview covers the classical Schwarz lemma, Poincaré distance on the unit disc, hyperbolic manifolds, holomorphic curvature, and the analytic Radon-Nikodym property. 1989 edition.
This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.
Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two Variables. The second edition goes even further toward a treatment that is at once gentle but rigorous, atypical yet logical, and ultimately an ideal introduction to a subject important to careers both within and outside of mathematics. The author's style remains informal and his approach problem-oriented. He takes care to motivate concepts prior to their introduction and to justify them afterwards, to explain the use and abuse of notation and the scope of the techniques developed. Functions of Two Variables, Second Edition includes a new section on tangent lines, more emphasis on the chain rule, a rearrangement of several chapters, refined examples, and more exercises. It maintains a balance between intuition, explanation, methodology, and justification, enhanced by diagrams, heuristic comments, examples, exercises, and proofs.
Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a remarkable feature of mathematics - its unity. Unity requires synthesis while synthesis leads to unity. It is necessary to stand back every so often, to take an overall look at one's subject and ask "How has it developed over the last ten, twenty, fifty years? Where is it going? What am I doing?" I was asking these questions during the spring of 1993 as I prepared a short course to be given at Universidade Federal do Rio de Janeiro during the following July. The abundance of suit able material made the selection of topics difficult. For some time I hesitated between two very different aspects of infinite dimensional holomorphy, the geometric-algebraic theory associated with bounded symmetric domains and Jordan triple systems and the topological theory which forms the subject of the present book.
Companion to Celebrity presents a multi-disciplinary collection of original essays that explore myriad issues relating to the origins, evolution, and current trends in the field of celebrity studies. Offers a detailed, systematic, and clear presentation of all aspects of celebrity studies, with a structure that carefully build its enquiry Draws on the latest scholarly developments in celebrity analyses Presents new and provocative ways of exploring celebrity’s meanings and textures Considers the revolutionary ways in which new social media have impacted on the production and consumption of celebrity
This is the first-ever biography of Emmet Dalton, an American-born Dubliner, Home Ruler and later Republican, whose extraordinary military career as a British officer, IRA leader and General in the Free State army brought him from Flanders to Beal na Bláth. A decorated hero of the Battle of the Somme, he returned from the war with the rank of Captain and transferred his military expertise to the now rampant IRA, serving as Director of Training, and greatly impressing Michael Collins with his extraordinary daring and nerve. Soon befriending Collins and becoming his close confidante, he accompanied him to the Treaty talks in London in 1921, and in the Civil War that followed Dalton oversaw the bombardment of the Four Courts, personally manning an 18-pounder artillery gun. He then masterminded and led the audacious seaborne landings and successful recapture of Cork City and Munster Republic from Anti-Treaty forces, but was ultimately traumatised when Collins died in his arms at Beal na Bláith. In his expansive biography, Sean Boyne vividly portrays Dalton's experiences and the vital role he played in the politics and wars that created the independent Irish state. Dalton was the first Senate Clerk and he became a pioneer of the Irish film world, founding Ardmore film studios and establishing the Irish Film industry. An attractive and high-achieving figure in Irish life in war and peace, Dalton's heroism allowed him to live his many lives to the full, and this compelling biography does justice to a figure who will captivate all those interested in modern Irish history and the birth of the state.
James Joyce’s Ulysses first appeared in print in the pages of an American avant-garde magazine, The Little Review, between 1918 and 1920. The novel many consider to be the most important literary work of the twentieth century was, at the time, deemed obscene and scandalous, resulting in the eventual seizure of The Little Review and the placing of a legal ban on Joyce’s masterwork that would not be lifted in the United States until 1933. For the first time, The Little Review “Ulysses” brings together the serial installments of Ulysses to create a new edition of the novel, enabling teachers, students, scholars, and general readers to see how one of the previous century’s most daring and influential prose narratives evolved, and how it was initially introduced to an audience who recognized its radical potential to transform Western literature. This unique and essential publication also includes essays and illustrations designed to help readers understand the rich contexts in which Ulysses first appeared and trace the complex changes Joyce introduced after it was banned.
Sean Stroud examines how and why Música Popular Brasileira (MPB) has come to have such a high status, and why the musical tradition (including MPB) within Brazil has been defended with such vigour for so long. He emphasizes the importance of musical nationalism as an underlying ideology to discussions about Brazilian popular music since the 1920s, and the key debate on so-called 'cultural invasion' in Brazil. The roles of those responsible for the construction of the idea of MPB are examined in detail. Stroud analyses the increasingly close relationship that has developed between television and popular music in Brazil with particular reference to the post-1972 televised song festivals. He goes on to consider the impact of the Brazilian record industry in the light of theories of cultural imperialism and globalization and also evaluates governmental intervention relating to popular music in the 1970s. The importance of folklore and tradition in popular music that is present in both Mário de Andrade and Marcus Pereira's efforts to 'musically map' Brazil is clearly emphasized. Stroud contrasts these two projects with Hermano Vianna and Itaú Cultural's similar ventures at the end of the twentieth century that took a totally different view of musical 'authenticity' and tradition. Stroud concludes that the defence of musical traditions in Brazil is inextricably bound up with nationalistic sentiments and a desire to protect and preserve. MPB is the musical expression of the Brazilian middle class and has traditionally acted as a cultural icon because it is associated with notions of 'quality' by certain sectors of the media.
About the Book Sean M. McWeeney has led an amazing life. Up by the Bootstraps outlines his life on the rough and tough West Side of Chicago, where he was unafraid of hard work or a good fight. He ran numbers, struggled, and triumphed through life’s twists and turns, to become the head of the FBI’s Organized Crime Section and later establish an international multi million-dollar corporation known for handling complex hostage and extortion negotiations for international corporations. This memoir reveals the inner workings of the FBI’s battle to bring down major mafia families’ organizations throughout the United States. And is an entertaining read of a life well lived by a colorful, gifted, and talented man who when given the choice at a young age between a life of crime or justice, chose justice. About the Author Sean M. McWeeney is a graduate of DePaul University in Chicago, with a bachelor's degree in commerce, where he was president of the senior class of 1961. He also received an MBA from the University of Rhode Island in 1964. McWeeney served as an officer in the US Navy from 1962 to 1965, attaining the rank of lieutenant. He went on to become an FBI agent from 1965 to 1988 and served as an Organized Crime supervisor in the New York office. His time in this office led to the arrest of Carlo Gambino, head of the infamous Gambino Mafia family. After retirement from the FBI, McWeeney founded an international security corporation, Corporate Risk International. Before the sale of the company, they went on to handle over six hundred kidnapping and extortion incidents over several years. McWeeney is married and has six children. His first wife Joan passed away in 2005. She played a substantial role in the success of both his careers.
Brian Boru is the most famous Irish person before the modern era, whose death at the Battle of Clontarf in 1014 is one of the few events in the whole of Ireland's medieval history to retain a place in the popular imagination. Once, we were told that Brian, the great Christian king, gave his life in a battle on Good Friday against pagan Viking enemies whose defeat banished them from Ireland forever. More recent interpretations of the Battle of Clontarf have played down the role of the Vikings and portrayed it as merely the final act in a rebellion against Brian, the king of Munster, by his enemies in Leinster and Dublin. This book proposes a far-reaching reassessment of Brian Boru and Clontarf. By examining Brian's family history and tracing his career from its earliest days, it uncovers the origins of Brian's greatness and explains precisely how he changed Irish political life forever. Brian Boru and the Battle of Clontarf offers a new interpretation of the role of the Vikings in Irish affairs and explains how Brian emerged from obscurity to attain the high-kingship of Ireland because of his exploitation of the Viking presence. And it concludes that Clontarf was deemed a triumph, despite Brian's death, because of what he averted – a major new Viking offensive in Ireland – on that fateful day.
A thought-provoking history of communications that challenges ideas about freedom of speech and democracy. At the heart of democracy lies a contradiction that cannot be resolved, one that has affected free societies since their advent: Though freedom of speech and media has always been a necessary condition of democracy, that very freedom is also its greatest threat. When new forms of communication arrive, they often bolster the practices of democratic politics. But the more accessible the media of a society, the more susceptible that society is to demagoguery, distraction, and spectacle. Tracing the history of media disruption and the various responses to it over time, Zac Gershberg and Sean Illing reveal how these changes have challenged democracy—often with unsettling effects. The Paradox of Democracy captures the deep connection between communication and political culture, from the ancient art of rhetoric and the revolutionary role of newspapers to liberal broadcast media and the toxic misinformation of the digital public sphere. With clear-eyed analysis, Gershberg and Illing show that our contemporary debates over media, populism, and cancel culture are not too different from the democratic cultural experiences of the past. As we grapple with a fast-changing, hyper-digital world, they prove democracy is always perched precipitously on a razor’s edge, now as ever before.
Suitable for advanced undergraduates and graduate students, this self-contained overview covers the classical Schwarz lemma, Poincaré distance on the unit disc, hyperbolic manifolds, holomorphic curvature, and the analytic Radon-Nikodym property. 1989 edition.
By 2030 more than sixty percent of the world's population will live in urban areas, with most of the world’s population growth over the next twenty-five years being absorbed by cities and towns in low and middle income countries. What are the consequences of this shift? Demographic pressure already strains the capacity of local and national governments to manage urban change. Today, nearly one billion people live in slums, and in the absence of significant intervention that number is set to double in the next two decades. Will our future be dominated by mega-cities of poverty and despair, or can urbanization be harnessed to advance human and economic development? Cities and Development provides a critical exploration of the dynamic relationship between urbanism and development. Highlighting both the challenges and opportunities associated with rapid urban change, the book surveys: the historical relationship between urbanization and development the role cities play in fostering economic growth in a globalizing world the unique characteristics of urban poverty and the poor record of interventions designed to tackle it the complexities of managing urban environments; issues of urban crime, violence, war and terrorism in contemporary cities the importance of urban planning, governance and politics in shaping city futures. This book brings into conversation debates from urban and development studies and highlights the strengths and weaknesses of current policy and planning responses to the contemporary urban challenge. It includes research orientated supplements in the form of summaries, boxed case studies, development questions and further reading. The book is intended for senior undergraduate and graduate students interested in urban, international and development studies, as well as policy-makers and planners concerned with equitable and sustainable urban development.
This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.
Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two Variables. The second edition goes even further toward a treatment that is at once gentle but rigorous, atypical yet logical, and ultimately an ideal introduction to a subject important to careers both within and outside of mathematics. The author's style remains informal and his approach problem-oriented. He takes care to motivate concepts prior to their introduction and to justify them afterwards, to explain the use and abuse of notation and the scope of the techniques developed. Functions of Two Variables, Second Edition includes a new section on tangent lines, more emphasis on the chain rule, a rearrangement of several chapters, refined examples, and more exercises. It maintains a balance between intuition, explanation, methodology, and justification, enhanced by diagrams, heuristic comments, examples, exercises, and proofs.
Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a remarkable feature of mathematics - its unity. Unity requires synthesis while synthesis leads to unity. It is necessary to stand back every so often, to take an overall look at one's subject and ask "How has it developed over the last ten, twenty, fifty years? Where is it going? What am I doing?" I was asking these questions during the spring of 1993 as I prepared a short course to be given at Universidade Federal do Rio de Janeiro during the following July. The abundance of suit able material made the selection of topics difficult. For some time I hesitated between two very different aspects of infinite dimensional holomorphy, the geometric-algebraic theory associated with bounded symmetric domains and Jordan triple systems and the topological theory which forms the subject of the present book.
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