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Geometric Qp Functions
This book documents the rich structure of the holomorphic Q functions which are geometric in the sense that they transform naturally under conformal mappings. Particular emphasis is placed on recent developments based on the interaction between geometric function/measure theory and other branches of mathematical analysis, including potential theory, complex variables, harmonic analysis, functional analysis, and operator theory." "Largely self-contained, this book will be an instructional and reference work for advanced courses and research in conformal analysis, geometry, or function spaces.
Geometric Integration Theory
This textbook introduces geometric measure theory through the notion of currents. Currents—continuous linear functionals on spaces of differential forms—are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics
Geometric and Topological Methods for Quantum Field Theory
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.
Geographies of Asylum in Europe and the Role of European Localities
This book describes how the numerous arrivals of asylum seekers since 2015 shaped reception and integration processes in Europe. It addresses the structuration of asylum and reception systems, and spaces and places of reception on European, national, regional and local level.
Furnishing - Zoning
Deals with the relationships between building typology and building structure, and between spatial composition and interior design. The relationship between the briefing and the catalogue of requirements, and between shell construction and fit-out, is elucidated. Connections at walls, ceilings and floors are explained in detail and illustrated with case studies of selected projects. In addition, the authors demonstrate how a well-designed sequence of spaces can create added value by means, for example, of the choice of materials and the lighting scheme, or adaptability to accommodate new functions.
Fundamentals of Architectural Lighting
Light is an inseparable part of architectural design, and is intended to provide students of architecture and interior design with a graphic guideline to the fundamental role lighting plays in this process. While simple light sources may be enough to satisfy practical needs, the design process must expand beyond basic illumination. The challenge for architects and designers is the creation of luminous environments offering visual interest and a sense of well-being, while also meeting basic seeing needs. Technological advances provide opportunities for the lighting designer's creative introduction of light, and the visual and psychological perceptions of the illuminated architectural environment. Fundamentals of Architectural Lighting offers a complete comprehensive guide to the basics of lighting design, equipping students and practitioners with the tools and ideas they need to master a variety of lighting techniques. The book is extensively illustrated with over 250 illustrations to demonstrate basic principles and procedures. It is an excellent resource for anyone interested in the fundamentals of integrated lighting for architectural interior spaces
Functions of a-Bounded Type in the Half-Plane
This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane, and offers a new, equivalent definition of the classical Hardy spaces in the half-plane. The last chapter of the book presents an application of the constructed theory as well as M.M.Djrbashian’s theory of Nevanlinna type classes in the disc in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time.
Full of Life : UNESCO Biosphere Reserves - Model Regions for Sustainable Development
UNESCO biosphere reserves are full of life. Here, people put sustainable development into practice: economic, ecological, social and cultural objectives are pursued, conserving precious natural spaces in the process. People are opening up new opportunities for today and are taking responsibility for future generations. What could be more exciting than a look at new ways into the future? The 14 biosphere reserves in Germany are part of a world network of 440 areas in the UNESCO Man and the Biosphere Programme (MAB). Founded in the 1970s to research the relationship between man and the environment, biosphere reserves have been developed into model regions for sustainable development since the 1992 Rio Conference. This publication gives an overview of developments to date and the new direction for the MAB Programme in Germany. The generally valid guidelines for the conservation, care and development of these areas are explained. Various project examples from practice and research bear witness to the living implementation of the Programme in the German UNESCO biosphere reserves.
Frames and Bases : An Introductory Course
During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical sufficient conditions for obtaining a frame. Consequently, there is a need for an updated book on frames, which moves the focus from the classical approach to a more constructive one.
Finite Zeros in discrete time control systems
The book starts with definition of invariant zeros and goes as far as a general characterization of output-zeroing inputs and the corresponding solutions, explicit formulas for maximal output-nulling invariant subspaces and for the zero dynamics. The objective of this book is to render the reader familiar with a certain method of analysis of multivariable zeros (which goes beyond the classical approach) and related problems. The minimal mathematical background that is required from the reader is a working knowledge of linear algebra and difference equations.
Feminist and LGBTI+ activism across Russia, Scandinavia and Turkey : Transnationalizing spaces of resistance
What do struggles for women’s and LGBTI+ rights in Russia, Turkey and the Scandinavian countries have in common? And what can actors who struggle for rights and justice in these contexts learn from each other? Based on a multisited ethnography of feminist and LGBTI+ activisms across Russia, Turkey and the Scandinavian countries, this Open Access book explores transnational struggles on various levels, from the micro-scale of the everyday to large-scale, spectacular events. Drawing on ethnographic insights and encounters from various sites, this book conceptualizes resistance as situated in the grey zone between barely perceptible, even hidden or covert, forms of mundane activist practices and highly visible street protests, gathering large crowds. Taking the reader beyond the dichotomies of visible/invisible and public/private, this book advances new understandings of resistance, solidarity, and activism in transnationalizing feminist and queer struggles, illustrated by rich ethnographic case studies from Russia, Scandinavia and Turkey.
Essential Urban Design : A Handbook for Architects, Designers and Planners
Shaping our cities, streets and public spaces, urban design informs the places we live. It is a complex multi-disciplinary process, requiring the input of a wide variety of stakeholders and design and construction professionals. Each urban project invariably throws up a new set of problems and strategic decisions for the design team. This guide distils the essential information required for the expert direction of the day-to-day work of urban design, from strategic design to masterplanning through to character assessment and collaboration. Compact and accessible with over 250 hand-drawn figures and plans, it's the perfect everyday companion for junior practitioners and experienced heads alike across the built environment.
Espaces vectoriels topologiques : Chapitres 1à 5 = Topological vector spaces : Chapters 1 to 5
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This book is the fifth of the treatise; it is devoted to the basics of functional analysis. It contains in particular the Hahn-Banach theorem and the Banach-Steinhaus theorem.
Ergodic Dynamics : From Basic Theory to Applications
This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applications complement the theory on topics ranging from financial fraud to virus dynamics, offering numerous avenues for further inquiry. Starting with several simple examples of dynamical systems, the book begins by establishing the basics of measurable dynamical systems, attractors, and the ergodic theorems. From here, chapters are modular and can be selected according to interest. Highlights include the Perron–Frobenius theorem, which is presented with proof and applications that include Google PageRank. An in-depth exploration of invariant measures includes ratio sets and type III measurable dynamical systems using the von Neumann factor classification. Topological and measure theoretic entropy are illustrated and compared in detail, with an algorithmic application of entropy used to study the papillomavirus genome. A chapter on complex dynamics introduces Julia sets and proves their ergodicity for certain maps. Cellular automata are explored as a series of case studies in one and two dimensions, including Conway’s Game of Life and latent infections of HIV. Other chapters discuss mixing properties, shift spaces, and toral automorphisms.
Enterprising worlds : A geographic perspective on economics, environments & ethics
Enterprising World represents the culmination of several years of work by geographers, planners, and economists. The chapters included in this volume represent the collective efforts of the International Geographical Union’s Commission on the Dynamics of Economic Spaces. This collection is the result of the 2005 annual meeting in Toledo, Ohio (USA). The chapters have been selected based on their contribution to the broader community of economic geographers and policymakers and to demonstrate the inherent interconnectedness of these themes (and at times the conceptual tension that exists between ethics, economics, and the environment) insofar as these important issues shape the contours and cleavages of contemporary regional development.
Endoscopic Surgery of the Potential Anatomical Spaces
Potential anatomical spaces" have attracted surgeons in the past and in recent years. Due to the development of modern imaging techniques and the advent of minimally invasive surgery, access to these spaces has become a real surgical option. The purpose of this book is to document the challenges related to "potential anatomical spaces", traditionally described as "hidden" spaces. The spread of video-assisted surgery and its application in the management of diseases involving organs or anatomical structures placed in the "potential spaces" (neck, mediastinum, pro-peritoneum and retro-peritoneum, subfacial space of the leg, and axilla), has rendered their surgical anatomy less abstract.
Encounters and Practices of Petty Trade in Northern Europe, 1820–1960 : Forgotten Livelihoods
Uncovers one important, yet forgotten, form of itinerant livelihoods, namely petty trade, more specifically how it was practiced in Northern Europe during the period 1820–1960. It investigates how traders and customers interacted in different spaces and approaches ambulatory trade as an arena of encounters by looking at everyday social practices. Petty traders often belonged to subjugated social groups, like ethnic minorities and migrants, whereas their customers belonged to the resident population. How were these mobile traders perceived and described? What goods did they peddle? How did these commodities enable and shape trading encounters? What kind of narratives can be found, and whose? These questions pertaining to daily practices on a grass-root level have not been addressed in previous research.
Eléments dhistoire des mathématiques = Elements of the history of mathematics
Brings together the historical notes published in the various books of mathematics elements by the author. They therefore concern all the matters covered in this treaty: set theory, algebra, topology, functions of a variable real, topological vector spaces, integration, commutative algebra, groups and Lie algebras. Composed of initially separate studies, this work does not claim to sketch a followed and complete history of development of mathematics. The interweaving of the different themes and the unity of the point of view ensure the deep consistency.
Eléments de Mathématique. Intégration : Chapitre 9 Intégration sur les espaces topologiques séparés
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This ninth chapter of the Book of Integration, sixth Book of the elements of mathematics, is devoted to the integration in separate topological spaces not necessarily locally compact, which allows to extend the theory of the Fourier transformation to locally convex vector spaces .
Elementi di Probabilità e Statistica
The authors' approach to Probability and Statistics is not based on measurement theory, but introduces the concept of probability and random number without using probability spaces. Trying to reduce formalism, the authors elaborate an introduction to probability more usable for students of computer science, engineering, statistics.
