Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." –Bulletin of the L.M.S.
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index of G-invariant operators.
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index of G-invariant operators.
Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." –Bulletin of the L.M.S.
Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Written with verve and intensity (and a good bit of wordplay), this is the long-awaited study of Flaubert and the modern literary field that constitutes the definitive work on the sociology of art by one of the worlds leading social theorists. Drawing upon the history of literature and art from the mid-nineteenth century to the present, Bourdieu develops an original theory of art conceived as an autonomous value. He argues powerfully against those who refuse to acknowledge the interconnection between art and the structures of social relations within which it is produced and received. As Bourdieu shows, arts new autonomy is one such structure, which complicates but does not eliminate the interconnection. The literary universe as we know it today took shape in the nineteenth century as a space set apart from the approved academies of the state. No one could any longer dictate what ought to be written or decree the canons of good taste. Recognition and consecration were produced in and through the struggle in which writers, critics, and publishers confronted one another.
This work is intended for graduate students and research mathematicians interested in functional analysis, several complex variables, analytic spaces, and differential equations.
Fundamentals of Radiochemistry presents a comprehensive overview of the principles, objectives, and methods of radiochemistry and how they are applied in various fields of chemistry. Topics covered include characteristics of radioactivity and radioactive matter, the chemistry of ephemeral radionuclides, actinides of high atomic number, positronium, and physicochemical behavior of systems containing one or more compounds at tracer or sub-tracer concentration. Numerous appendices are included to provide additional detail to information presented in chapters. Because Fundamentals of Radiochemistry is the first book to discuss what chemical information can be obtained with sub-tracer amounts, it is essential reading for inorganic chemists, radiochemists, analytical chemists, nuclear chemists and others interested in the topic.
At the present time, malaria is responsible for a million deaths a year, with 500 million reported cases of the disease and 2.5 billion people at risk of contracting it. The distribution and severity of the disease vary with the causative agents, vectors and environment. Of the 4 possible parasites, only P. falciparum causes fatal forms; the three others have debilitating effects related to frequent disease recurrence and reviviscence. More than 50 species of anophele are involved in the obligatory transmission of the parasite from man to man. Climate, environment and biogeography condition the distribution of anophele species and modulate the intensity of transmission. This is what is known as the biodiversity of malaria. At the present time, more than 90% of P. falciparum malaria deaths occur in tropical Africa where only 10% of the world's population lives. A child dies of malaria every 30 seconds. This continent is home to the most effective vectors and the climate favours transmission. Severe cases also arise in the forested areas of South East Asia, New Guinea and the Amazon region. Throughout the rest of the tropical and subtropical world, the disease caused by P. vivax and/or P. malariae is less serious.
This exciting new reference brings you information about the most controversial nephrology challenges you face in your practice. The book confidently tackles these subjects and gives seasoned advice on the latest diagnostic and treatment strategies using evidence-based medicine wherever possible. It gives you the latest information you need to keep pace with the fast-paced, dynamic environment of neonatology. Addresses controversial topics head on, so you can decide how to handle these difficult practice issues. Serves as the bridge between the latest cutting-edge research and its application to clinical practice. Assembles a world-class group of neonatologists, representing the true leaders of the specialty, to ensure the most authoritative content available.
I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.
In an increasingly digital economy, mastering the quality of data is an increasingly vital yet still, in most organizations, a considerable task. The necessity of better governance and reinforcement of international rules and regulatory or oversight structures (Sarbanes Oxley, Basel II, Solvency II, IAS-IFRS, etc.) imposes on enterprises the need for greater transparency and better traceability of their data. All the stakeholders in a company have a role to play and great benefit to derive from the overall goals here, but will invariably turn towards their IT department in search of the answers. However, the majority of IT systems that have been developed within businesses are overly complex, badly adapted, and in many cases obsolete; these systems have often become a source of data or process fragility for the business. It is in this context that the management of ‘reference and master data’ or Master Data Management (MDM) and semantic modeling can intervene in order to straighten out the management of data in a forward-looking and sustainable manner. This book shows how company executives and IT managers can take these new challenges, as well as the advantages of using reference and master data management, into account in answering questions such as: Which data governance functions are available? How can IT be better aligned with business regulations? What is the return on investment? How can we assess intangible IT assets and data? What are the principles of semantic modeling? What is the MDM technical architecture? In these ways they will be better able to deliver on their responsibilities to their organizations, and position them for growth and robust data management and integrity in the future.
Nephrology and Fluid/Electrolyte Physiology, a volume in Dr. Polin’s Neonatology: Questions and Controversies Series, offers expert authority on the toughest neonatal nephrology and fluid/electrolyte challenges you face in your practice. This medical reference book will help you provide better evidence-based care and improve patient outcomes with research on the latest advances. Reconsider how you handle difficult practice issues with coverage that addresses these topics head on and offers opinions from the leading experts in the field, supported by evidence whenever possible. Find information quickly and easily with a consistent chapter organization. Get the most authoritative advice available from world-class neonatologists who have the inside track on new trends and developments in neonatal care. Stay current in practice with coverage on lung fluid balance in developing lungs and its role in neonatal transition; acute problems of prematurity: balancing fluid volume and electrolyte replacement in very-low-birth-weight and extremely-low-birth-weight neonates; and much more.
Nephrology and Fluid/Electrolyte Physiology, a volume in Dr. Polin's Neonatology: Questions and Controversies Series, offers expert authority on the toughest neonatal nephrology and fluid/electrolyte challenges you face in your practice. This medical reference book will help you provide better evidence-based care and improve patient outcomes with research on the latest advances. Reconsider how you handle difficult practice issues with coverage that addresses these topics head on and offers opinions from the leading experts in the field, supported by evidence whenever possible. Find information quickly and easily with a consistent chapter organization. Get the most authoritative advice available from world-class neonatologists who have the inside track on new trends and developments in neonatal care. Purchase each volume individually, or get the entire 6-volume set, which includes online access that allows you to search across all titles! Stay current in practice with coverage on lung fluid balance in developing lungs and its role in neonatal transition; acute problems of prematurity: balancing fluid volume and electrolyte replacement in very-low-birth-weight and extremely-low-birth-weight neonates; and much more. Access the fully searchable text online at www.expertconsult.com.
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