This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of semigroups and its consequences for the qualitative behavior. The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations. Exercises are provided at the end of the chapters.
Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory. Topics include: • an intuitive introduction to ergodic theory • an introduction to the basic notions, constructions, and standard examples of topological dynamical systems • Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem • measure-preserving dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination of notions of isomorphism for measure-preserving systems • Markov operators, and the related concept of a factor of a measure preserving system • compact groups and semigroups, and a powerful tool in their study, the Jacobs–de Leeuw–Glicksberg decomposition • an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg’s Correspondence Principle, theorems of Roth and Furstenberg–Sárközy) Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory
J.R.R. Tolkien's giving of names has garnered considerable attention in the linguistic analysis of Tolkien's works. Usually, however, the focus has been on singling out particular names of important individuals and places. Thus, this book centres on the place-names as found in the Shire as well as Breeland. All those names that are referenced on Tolkien's map of the Shire, plus those few that are not found on the map but mentioned in the text, as well as four from The Adventures of Tom Bombadil, are analysed as to their possible "etymologies" against the theoretical backdrop of real-world English place-name research. Tolkien's "own" (in-world) etymologies, insofar as they differ from the real-world ones, are also taken into consideration. Finally, all extant German translations of these names are given and, where necessary, compared.
This text offers an intervention into the debate between communitarianism and liberalism. It argues for a theory of "contexts of justice" that leads beyond the confines of the debate as it has been understood and posits the possibility of a new conception of social and political justice.
Contemporary philosophical pluralism recognizes the inevitability and legitimacy of multiple ethical perspectives and values, making it difficult to isolate the higher-order principles on which to base a theory of justice. Rising up to meet this challenge, Rainer Forst, a leading member of the Frankfurt School's newest generation of philosophers, conceives of an "autonomous" construction of justice founded on what he calls the basic moral right to justification. Forst begins by identifying this right from the perspective of moral philosophy. Then, through an innovative, detailed critical analysis, he ties together the central components of social and political justice--freedom, democracy, equality, and toleration--and joins them to the right to justification. The resulting theory treats "justificatory power" as the central question of justice, and by adopting this approach, Forst argues, we can discursively work out, or "construct," principles of justice, especially with respect to transnational justice and human rights issues. As he builds his theory, Forst engages with the work of Anglo-American philosophers such as John Rawls, Ronald Dworkin, and Amartya Sen, and critical theorists such as Jürgen Habermas, Nancy Fraser, and Axel Honneth. Straddling multiple subjects, from politics and law to social protest and philosophical conceptions of practical reason, Forst brilliantly gathers contesting claims around a single, elastic theory of justice.
The concept of toleration plays a central role in pluralistic societies. It designates a stance which permits conflicts over beliefs and practices to persist while at the same time defusing them, because it is based on reasons for coexistence in conflict - that is, in continuing dissension. A critical examination of the concept makes clear, however, that its content and evaluation are profoundly contested matters and thus that the concept itself stands in conflict. For some, toleration was and is an expression of mutual respect in spite of far-reaching differences, for others, a condescending, potentially repressive attitude and practice. Rainer Forst analyses these conflicts by reconstructing the philosophical and political discourse of toleration since antiquity. He demonstrates the diversity of the justifications and practices of toleration from the Stoics and early Christians to the present day and develops a systematic theory which he tests in discussions of contemporary conflicts over toleration.
All human beings are born with equal dignity and possess equal rights. This statement appears normatively just as irrefutable as it is empirically refuted every day. But what are the grounds of this principle, and how should we think about its realization? Its philosophical truth can best be explained by going back to (and beyond) Kant’s notion of a ‘noumenal republic’ in which every person is an equal co-author of the laws that bind all. At the same time, a critical analysis of society and politics must show the extent to which the reality of power and ideology makes a mockery of this constructivist conception of dignity. To bridge the gap between unworldly idealism and practical hopelessness, we need a critical theory after Kant. Rainer Forst, one of the world’s most influential political philosophers, works to develop just such a theory in this powerful and illuminating volume. It contains no less than a new systematic account of concepts such as alienation, progress and regression, solidarity, human rights, justice, power and non-domination.
Based on a fifty-year study conducted by the Leibniz Institute for Baltic Sea Research, this book brings together a comprehensive summary of their observations and findings. Written by well-known experts, this revealing book concentrates on long-term changes in the Baltic Sea?which can be extrapolated to shed light on the environmental problems of other shelf seas, brackish seas, and large estuaries?thereby contributing to our understanding of water exchange processes, eutrophication, and climatic impacts at the forefront of international concern.
This book is a product of intercultural dialogues between Rainer Kokemohr from Germany and educational scholars from Taiwan, during a period of more than 15 years. When professor Kokemohr served as a part-time chair professor at the College of Education, NCCU, he had the opportunity to observe different schools and to dialogue with many scholars. Section One of the book presents discussions on pedagogical norms and goals. Section Two brings together articles that discuss educational goals in relation to concrete social interactions or special, pedagogically significant phenomena and structures that determine teaching-learning processes within educational institutions. In Section Three, the authors discuss the challenge of modern education in view of historical or life-historical educational conditions.
Sustainable solutions require the integration of social and ecological aspects in every planning and decision-making process. This book explains the most important principles and elements of Systems Engineering and three planning cases demonstrate the practical application. It provides an understandable guide with questions and recommendations, and offers a clear structure of the problem solving process.
Hoarding New Guinea provides a new cultural history of colonialism that pays close attention to the millions of Indigenous artifacts that serve as witnesses to Europe's colonial past in ethnographic museums. Rainer F. Buschmann investigates the roughly two hundred thousand artifacts extracted from the colony of German New Guinea from 1870 to 1920. Reversing the typical trajectories that place ethnographic museums at the center of the analysis, he concludes that museum interests in material culture alone cannot account for the large quantities of extracted artifacts. Buschmann moves beyond the easy definition of artifacts as trophies of colonial defeat or religious conversion, instead employing the term hoarding to describe the irrational amassing of Indigenous artifacts by European colonial residents. Buschmann also highlights Indigenous material culture as a bargaining chip for its producers to engage with the imposed colonial regime. In addition, by centering an area of collection rather than an institution, he opens new areas of investigation that include non-professional ethnographic collectors and a sustained rather than superficial consideration of Indigenous peoples as producers behind the material culture. Hoarding New Guinea answers the call for a more significant historical focus on colonial ethnographic collections in European museums.
This survey of more than one century of inner-Islamic ecumenical activities in modern times concentrates on the role of the Cairo-based Azhar University and its relations to Shiite scholars. Particular emphasis is laid on the mutual dependency of theology and politics in the modern Islamic discourse.
Baedeker; the most famous and cherished travel brand in the world is now adding this exciting new title to its innovative series. This superb full-colour, illustrated guide features 3D laminated cut-outs to show you the key sights in perspective and a large, fully-indexed, pull-out map. Additional detailed maps and plans can also be found throughout the guide, clearly pin-pointing the best places to stay and the top places to eat and drink. At the heart of the guide is a wealth of comprehensive information written by experts on the sights and top attractions, in an easy-to-read A-Z format. Also included are great, practical travel tips covering accommodation and food and drink for all budgets, entertainment, sport, transport and health; not to mention some insider tips for saving money or having a unique travel experience. There is also a variety of recommended tours covering the best routes available, to ensure you get the most from your destination. The plastic wallet allows you to keep the guide and map together and ensures that both will survive in all weather. Baedeker - setting a new standard in 21st century, travel guide publishing.
From Germany to Vietnam, from Italy to the United States, 1968 witnessed a highly unusual sequence of popular rebellions. Millions of individuals took matters into their own hands to counter imperialism, capitalism, and autocracy - indeed any kind of hierarchical thinking. Gerd-Rainer Horn offers a fascinating re-assessment of these turbulent times, arguing that 1968 cannot be seen in isolation: that it must be viewed in the context of a much larger period of experimentation and revolt. He sheds valuable new light both on social movements and on their individual participants, and he offers a fresh understanding of the fundamental changes they wrought on either side of the Atlantic.
This electronic version has been made available under a Creative Commons (BY-NC-ND) open access license. Rainer Bauböck is the world’s leading theorist of transnational citizenship. He opens this volume with a question that is crucial to our thinking on citizenship in the twenty-first century: who has a claim to be included in a democratic political community? Bauböck’s answer addresses the major theoretical and practical issues of the forms of citizenship and access to citizenship in different types of polity, the specification and justification of rights of non-citizen immigrants as well as non-resident citizens, and the conditions under which norms governing citizenship can legitimately vary. This argument is challenged and developed in responses by Joseph Carens, David Miller, Iseult Honohan, Will Kymlicka and Sue Donaldson, David Owen and Peter J. Spiro. In the concluding chapter, Bauböck replies to his critics.
This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach. The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.
Rainer Forst develops a critical theory capable of deciphering the deficits and potentials inherent in contemporary political reality. This calls for a perspective which is immanent to social and political practices and at the same time transcends them. Forst regards society as a whole as an ‘order of justification’ comprising complexes of different norms referring to institutions and corresponding practices of justification. The task of a ‘critique of relations of justification’, therefore, is to analyse such legitimations with regard to their validity and genesis and to explore the social and political asymmetries leading to inequalities in the ‘justification power’ which enables persons or groups to contest given justifications and to create new ones. Starting from the concept of justification as a basic social practice, Forst develops a theory of political and social justice, human rights and democracy, as well as of power and of critique itself. In so doing, he engages in a critique of a number of contemporary approaches in political philosophy and critical theory. Finally, he also addresses the question of the utopian horizon of social criticism.
This volume contains a selection of articles on modern theoretical physics contributed by leading scientists. It is dedicated to Joseph L Birman for his prolific and outstanding contribution to the field. The topics covered are in the fields of condensed matter and solid state physics, elementary particles and quantum optics.
Humans are justificatory beingsthey offer, demand, and require justifications. The rules and institutions they follow rest on justification narratives that have evolved over time and, taken together, constitute a dynamic and tension-laden normative order. In this collection of essays, the first translation into English of the ground-breaking Normativität und Macht (Suhrkamp 2015), Rainer Forst presents a new approach to critical theory. Each essay reflects on the basic principles that guide our normative thinking. Forst's argument goes beyond 'ideal' and 'realist' theories and shows how closely the concepts of normativity and power are interrelated, and how power rests on the capacity to influence, determine, and possibly restrict the space of justifications for others. By combining insights from the disciplines of philosophy, history, and the social sciences, Forst re-evaluates theories of justice, as well as of power, and provides the tools for a critical theory of relations of justification.
Examines the impact of the Czechoslovak and East German uranium industries on local politics and on societies, particularly in the decade or so after the end of the Second World War. The Erzgebirge – the Ore Mountains – on the border of Czechoslovakia and East Germany of the time, was the oldest uranium mine in the world, whose important resources were badly needed for Stalin's atomic bomb.
This book studies air cargo capacity control problems. The focus is on analyzing decision models with intuitive optimal decisions as well as on developing efficient heuristics and bounds. Three different models are studied: First, a model for steering the availability of cargo space on single legs. Second, a model that simultaneously optimizes the availability of both seats and cargo capacity. Third, a decision model that controls the availability of cargo capacity on a network of flights.
In the context of Geographical Information Systems (GIS) the book offers a timely review of Map Projections. The first chapters are of foundational type. We introduce the mapping from a left Riemann manifold to a right one specified as conformal, equiaerial and equidistant, perspective and geodetic. In particular, the mapping from a Riemann manifold to a Euclidean manifold ("plane") and the design of various coordinate systems are reviewed . A speciality is the treatment of surfaces of Gaussian curvature zero. The largest part is devoted to the mapping the sphere and the ellipsoid-of-revolution to tangential plane, cylinder and cone (pseudo-cone) using the polar aspect, transverse as well as oblique aspect. Various Geodetic Mappings as well as the Datum Problem are reviewed. In the first extension we introduce optimal map projections by variational calculus for the sphere, respectively the ellipsoid generating harmonic maps. The second extension reviews alternative maps for structures , namely torus (pneu), hyperboloid (cooling tower), paraboloid (parabolic mirror), onion shape (church tower) as well as clothoid (Hight Speed Railways) used in Project Surveying. Third, we present the Datum Transformation described by the Conformal Group C10 (3) in a threedimensional Euclidean space , a ten parameter conformal transformation. It leaves infinitesimal angles and distance ratios equivariant. Numerical examples from classical and new map projections as well as twelve appendices document the Wonderful World of Map Projections.
This book proposes a process-oriented model for business networking and the concept of networkability to develop realistic strategies for managing enterprises relationships in the Internet economy. It formulates key success factors and management guidelines which were developed in close co-operation between research and practice.
The geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular varieties. For Siegel modular threefolds some basic results on their cohomology groups are derived in this book from considering topological trace formulas.
The Göttingen conference Systematics 2008 is the first joint meeting of the Gesellschaft für Biologische Systematik (GfBp. and the German Botanical Society, section Biodiversity and Evolutionary Biology (DBG), being the 10th Annual Meeting of the GfBS and the 18th International Symposium Biodiversity and Evolutionary Biology of the DBG. The conference programme covers biological systematics in the widest sense and provides ample opportunities for oral and poster presentations on new advances in plant, animal and microbial systematics. This volume brings together the abstracts of invited speaches from the plenary sessions on Progress in Deep Phylogeny, Speciation and Phylogeography, and New Trends in Biological Systematics as well as those of submitted talks and poster sessions.
These are the kinds of question Rose-Marie and Rainer Hagen ask when faced with world-famous masterpieces. In the language of today they comment on the fashions and attitudes, trends and intrigues, love, vice and lifestyles of past times. Book jacket.
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