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In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas.. Written by experts and covering recent research. Extensive bibliography. Dealing with a diverse range of areas. Starting from the basics
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
When a person faces serious illness, having the support of one's partner can help protect against the full ravages of disease, and even hasten recovery. However, too much support can have grave clinical consequences for sufferers and exact a heavy emotional and financial toll on caregivers. Social Support, Health, and Illness is an up-to-date analysis of how social support can either help or hinder recovery for patients. A useful resource for clinical practitioners and researchers, Social Support, Health, and Illness addresses the effects of intimate support on a wide variety of medical and psychiatric conditions, including cancer, dementia, and chronic pain. Ranjan Roy uncovers the complexities underlying social support by tracing the concept's historical and theoretical development. Synthesizing insights from the latest research findings, Social Support, Health, and Illness offers a comprehensive look at the modifying and mitigating factors of intimacy on the outcomes of disease.
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This book studies Hopf algebras over valuation rings of local fields and their application to the theory of wildly ramified extensions of local fields. The results, not previously published in book form, show that Hopf algebras play a natural role in local Galois module theory. Included in this work are expositions of short exact sequences of Hopf algebras; Hopf Galois structures on separable field extensions; a generalization of Noether's theorem on the Galois module structure of tamely ramified extensions of local fields to wild extensions acted on by Hopf algebras; connections between tameness and being Galois for algebras acted on by a Hopf algebra; constructions by Larson and Greither o...
Volume 2 of this series concentrates on the use of synchrotron radiation which covers that region of the electromagnetic spectrum which extends from about 10eV to 3keV in photon energy and is essentially the region where the radiation is strongly absorbed by atmospheric gases. It therefore has to make extensive use of a high vacuum to transport the radiation to the workstation where the presence of hard X-rays can cause extensive damage to both the optics and the targets used in the experimental rigs. The topics chosen for this volume have been limited to the disciplines of physics and chemistry.
Hematopoiesis, or the process of blood formation, has been extensively studied at both basic and clinical levels. Human diseases such as thalassemia, immunodeficiency, and leukemia represent defects in this process. Approaches to treat these disorders have required a basic understanding of the biology of blood cells. For instance, hemapoietic stem cell replacement or bone marrow transplantation has been used to ameliorate disease. This volume focuses on hematopoiesis at a cellular and molecular level, and establishes the basis for clinical manipulation of hematopoietic cells for therapeutic benefit. In Part I, the cellular characteristics of progenitors and stem cells are explored. Emphasis ...
Isolation, Characterization, and Utilization of T Lymphocyte Clones is a summary of information regarding T lymphocyte clones, including their usefulness. Organized into nine parts, the book begins with discussions on the soluble factors that can influence the growth of cloned T cells and the utilization of T cell hybridomas for analysis of T cell functions, emphasizing the biochemical and functional properties of helper and suppressor factors. The book then looks into the analysis of T cell clones and hybridomas using techniques of somatic cell genetics. The clonal analysis by limiting dilution, the characteristics of murine T cell clones reactive with alloantigens and soluble antigens, and the human T cell clones are described as well. This volume is valuable to those interested in the field of cloning of immunocompetent T cells.
This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspectiv...