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The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Parliamentary theory, practices, discourses, and institutions constitute a distinctively European contribution to modern politics. Taking a broad historical perspective, this cross-disciplinary, innovative, and rigorous collection locates the essence of parliamentarism in four key aspects—deliberation, representation, responsibility, and sovereignty—and explores the different ways in which they have been contested, reshaped, and implemented in a series of representative national and regional case studies. As one of the first comparative studies in conceptual history, this volume focuses on debates about the nature of parliament and parliamentarism within and across different European countries, representative institutions, and genres of political discourse.
This book examines the development of the English patent system and its relationship with technical change during the period between 1660 and 1800, when the patent system evolved from an instrument of royal patronage into one of commercial competition among the inventors and manufacturers of the Industrial Revolution. It analyses the legal and political framework within which patenting took place and gives an account of the motivations and fortunes of patentees, who obtained patents for a variety of purposes beyond the simple protection of an invention. It includes the first in-depth attempt to gauge the reliability of the patent statistics as a measure of inventive activity and technical change in the early part of the Industrial Revolution, and suggests that the distribution of patents is a better guide to the advance of capitalism than to the centres of inventive activity. It also queries the common assumption that the chief goal of inventors was to save labour, and examines contemporary criticism of the patent system in the light of the changing conceptualisation of invention among natural scientists and political economists.
Technological developments have shaped copyright law's development, and now the prospect of endless, effortless digital copying poses a significant challenge to modern copyright law. Many complain that copyright protection has burgeoned wildly, far beyond its original boundaries. Some have questioned whether copyright can survive the digital age. From a historical perspective, however, many of these 'new' challenges are simply fresh presentations of familiar dilemmas. This book explores the history of international copyright law, and looks at how this history is relevant today. It focuses on international copyright during the nineteenth century, as it affected Europe, the British colonies (particularly Canada), America, and the UK. As we consider the reform of modern copyright law, nineteenth-century experiences offer highly relevant empirical evidence. Copyright law has proved itself robust and flexible over several centuries. If directed with vision, Seville argues, it can negotiate cyberspace.
Argues that by meeting the vast administrative challenge of the British Empire - thorough maps and surveys, censuses and statistics - Victorian administrators developed a new symbiosis of knowledge and power. The book draws on works by Rudyard Kipling, H.G. Wells and Bram Stoker.
There are several physico-chemical processes that determine the behavior of multiphase fluid systems – e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at the interface, and transport of surfactants on the interface – and result in heterogeneous interface properties. In general, these processes are strongly coupled and local properties of the interface play a crucial role. A thorough understanding of the behavior of such complex flow problems must be based on physically sound mathematical models, which especially account for the local processes at the interface. This book presents recent findings on the rigorous derivation and mathematical analysis of such models and on the development of numerical methods for direct numerical simulations. Validation results are based on specifically designed experiments using high-resolution experimental techniques. A special feature of this book is its focus on an interdisciplinary research approach combining Applied Analysis, Numerical Mathematics, Interface Physics and Chemistry, as well as relevant research areas in the Engineering Sciences. The contributions originated from the joint interdisciplinary research projects in the DFG Priority Programme SPP 1506 “Transport Processes at Fluidic Interfaces.”
This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of authors and topics represented in the chapters, ranges from deep mathematical analysis of the associated models, through the techniques of their numerical solution, towards real applications and physical implications. The scope and structure of the book as well as the selection of authors was motivated by the very successful summer course and workshop "Particles in Flows'' that was held in Prague in the August of 2014. This meeting revealed the need for a book dealing with this specific and challenging multidisciplinary subject, i.e. particles in industrial, environmental and biomedical flows and the combination of fluid mechanics, solid body mechanics with various aspects of specific applications.