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This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.
This volume contains papers and abstracts by participants of the Conference on Riemann Surfaces and Related Topics, which was held at the State University of New York at Stony Brook, June 5-9, 1978.
This monograph examines new areas of ergodic theory, describing entropy theory, elements of the renormalization group method in the theory of dynamical systems, the splitting of separatrices, and problems related to the theory of hyperbolic dynamical systems.
This volume contains almost all of the papers that were read at the Conference on Discontinuous Groups and Riemann Surfaces, which was held at the University of Maryland during May 21-25, 1973. The conference was the third sequence of conferences on this subject in recent years.
During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.
The description for this book, Lectures on Fourier Integrals. (AM-42), will be forthcoming.
The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), will be forthcoming.
The description for this book, Contributions to the Theory of Games (AM-24), Volume I, will be forthcoming.
These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.
The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.
Annals of Mathematics Studies: Number 41The present volume of the Contributions, fourth in the series, covers, like its predecessors, a great variety of topics in non-linear differential equations.
The description for this book, Automata Studies. (AM-34), will be forthcoming.
The description for this book, Advances in Game Theory. (AM-52), will be forthcoming.
Takes us on a contemporary quest to discover the essential meaning behind the Buddha's many representations. This title shows that the dimensions of early Indian Buddhism - popular art, conventional piety, and critical philosophy - work together to express the same religious yearning for the fullness of emptiness that Buddha conveys.
The reflections on art and literature that the author produced throughout his life are the premise and corollary of his work as poet, novelist, and man of science. This volume contains such important essays as "On Gothic Architecture", "On the Laocoon Group", and "Shakespeare: A Tribute".
Examines the tension between popular and official religion in Europe. This book evokes ethnographic contexts that enable us to see people shaping their religious domain. It provides a theoretical orientation throughout, one that considers how religious discourses are formed by social disciplines and relationships of power and subordination.
Places the welfare debates of the 1980s in the context of past patterns of US policy, such as the Social Security Act of 1935, the failure of efforts in the 1940s to extend national social benefits and economic planning, and the backlashes against "big government" that followed reforms of the 1960s and early 1970s.
In 1973, after several years of bitter dispute, the Board of Trusteesof the American Psychiatric Association decided to remove homosexuality from its official list of mental diseases. Infuriated by theBoard's action, a substantial number of dissident psychiatristscharged the association's leadership with capitulating to the pressuresof Gay Liberation groups, and forced the board to submit its decisionto a referendum of the full APA membership. Ronald Bayer presentsa political analysis of the psychiatric battle involved, from the firstconfrontations organized by gay demonstrators at psychiatric conventions to the referendum initiated by orthodox psychiatrists. The result is a fascinating view of the individuals who led the debate and the fundamental questions that engaged them: social and cultural values, the definition of disease, and the nature of sexuality. Available for thefirst time in paperback, the book includes a new afterword by theauthor.
Influencing musical life from the 1880s through the First World War and remaining productive into the 1940s, Richard Strauss enjoyed a remarkable career in a constantly changing artistic and political climate. This volume presents essays on Strauss' musical works and brings together letters and memoirs from various periods of the composer's life.
During the 1830s and 1840s composer-pianist-organist-conductor Felix Mendelssohn-Bartholdy stood at the forefront of German and English musical life. This title explores various facets of Mendelssohn's music, his social and intellectual circles, and his career.
When George C Marshall became Secretary of State in January of 1947, he asked George F Kennan to head a new component in the department's structure - the Policy Planning Staff. This title scrutinizes Kennan's subsequent influence over foreign policymaking during the crucial years from 1947 to 1950.
Tracing the transformations of classical Latin rhetoric from late antiquity to the modern era, this book explores the concerns such as: the historical and social contexts in which writings were received, and issues of aesthetics, semantics, stylistics, and sociology that anticipate the concerns of the new historicism.
JBS Haldane (1892-1964), one of the founders of the science of population genetics, was also one of the greatest practitioners of the art of explaining science to the layperson. This title provides accessible introduction to the genetical basis of evolution by natural selection.
Suitable for those who are curious about animals, nature, or the history of biology, this title includes the author's personal assortment of favorites that includes excerpts from massive sources, such as Audubon and Darwin, and intriguing pieces from lesser known authors most of us would not normally encounter.
Why do some governments respond promptly to signs of economic trouble, while others muddle indecisively for years? In this volume, a number of eminent contributors analyze the politics of adjustment in 13 countries and 19 governments, drawing comparisons across the full set of cases and within clusters selected to clarify specific issues.
Presents a social and economic study of the origins, apogee, and decline of coffee in the Parahyba Valley of South Central Brazil. This book shows how abolition, erosion, and bankruptcy transformed virgin forest into a wasteland of eroded hillsides and abandoned towns, of disillusioned planters and poverty-stricken black freedmen.
In order to analyze Brazil's recent accumulation of capital in the light of its continued dependence, Peter Evans focuses on the relationships among multinational corporations, local private entrepreneurs, and state-owned enterprises that have developed in Brazil over the last decade. He argues that while relations among the three kinds of capital continue to be contradictory, a triple alliance has been formed that provides the social structural basis for the pattern of local industrialization that has emerged.The author begins with a review of the theories of imperialism and dependency in the third world. Placing the Brazilian experience of the last twenty years in its historical context, he traces the country's evolution from the period of "classic dependence" at the turn of the century to the current stage of "dependent development." In conclusion, Professor Evans discusses the implications of the Brazilian model for other third world countries.Examining the nature of the triple alliance as it is manifested in such industries as pharmaceuticals, textiles, and petrochemicals, the author reveals the complex differentiation of the groups' roles in industrialization and lays bare the grounds for their collaboration and their conflict. He consequently shows how the differing interests, power, and capabilities of the three groups have combined to produce a system promoting industrialization that benefits the elite partnership but excludes the larger population from the rewards of growth.
Attempts to measure the impact of the Voting Rights Act of 1965, regarded as the most effective civil rights legislation. This volume shows how blacks and Mexican Americans in the South, along with the Justice Department, have used the act and the US Constitution to overcome the resistance of white officials to minority mobilization.
The philosopher and historian of culture Wilhelm Dilthey (1833-1911) has had a significant and continuing influence on twentieth-century Continental philosophy and in a broad range of scholarly disciplines. The author interprets Dilthey's philosophy and provides a guide to its complex development.
Features selected writings of Wilhelm Dilthey (1833-1911) - a philosopher and historian of culture who has had a strong and continuing influence on twentieth-century Continental philosophy as well as a broad range of other scholarly disciplines.
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