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The Handbook of Islamic Sects and Movements offers a multinational study of Islam, its variants, influences, and neighbouring movements, from a multidisciplinary range of scholars. These chapters highlight the diversity of Islam, especially in its contemporary manifestations, as a religion of many communities, theologies, and ideologies. Over five sections—on Sunni, Shia, Sufi, fundamentalist, and fringe Islamic movements—the authors provide historical overviews, analyses, and in-depth studies of large and small Islamic and related groups from all around the world. The contents of this volume will be of interest to both newcomers to the study of Islam and established scholars of religion who wish to engage with the dynamic label of Islam and the many impactful movements of the Islamic world.
Cell surface membranes have long been characterized as two-dimensional fluids whose mobile components are randomized by diffusion in the plane of the membrane bilayer. Recent research has indicated that cell surface membranes are highly organized and ordered and that important functional units of membranes appear as arrays of interacting molecules rather than as single, freely diffusing molecules. Mobility and Proximity in Biological Membranes provides an overview of the results obtained from biophysical methods for probing the organization of cell surface membranes. These results are presented in the context of detailed treatments of the theory and the technical demands of each of the metho...
Transmembrane signaling is one of the most significant cell biological events in the life and death of cells in general and lymphocytes in particular. Until recently biochemists and biophysicists were not accustomed to thinking of these processes from the side of a high number of complex biochemical events and an equally high number of physical changes at molecular and cellular levels at the same time. Both types of researchers were convinced that their findings are the most decisive, having higher importance than the findings of the other scientist population. Both casts were wrong. Life, even at cellular level, has a number of interacting physical and biochemical mechanisms, which finally ...
This volume honors Professor Andrzej Grzegorczyk, the nestor of Polish logicians, on his 85th anniversary. The editors would like to express the respect and sympathy they have for him. His textbook The Outline of Mathematical Logic has been published in many editions and translated into several languages. It was this textbook that introduced many of us into the world of mathematical logic. Professor Grzegorczyk has made fundamental contributions to logic and to philosophy. His results, mainly on hierarchy of primitive recursive functions, known as the Grzegorczyk hierarchy, are of fundamental importance to theoretical computer science. In particular, they were precursory for the computationa...
* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry
Current Topics in Membranes provides a systematic, comprehensive, and rigorous approach to specific topics relevant to the study of cellular membranes. Each volume is a guest edited compendium of membrane biology. This series has been a mainstay for practicing scientists and students interested in this critical field of biology. Articles covered in the volume include ENaC Proteins in Vascular Smooth Muscle Mechanotransduction; Regulation of the Mechano-Gated K2P Channel TREK-1 by Membrane Phospholipids; MechanoTRPs and TRPA1; TRPC; The Cytoskeletal Connection to Ion Channels as a Potential Mechanosensory Mechanism. Lessons From Polycystin-2 (TRPP2); Lipid Stress at Play: Mechanosensitivity o...
This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view. This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets.
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
We cannot truly understand - let alone counter - terrorism in the 21st century unless we also understand the processes of communication that underpin it. This book challenges what we know about terrorism, showing that current approaches are inadequate and outdated, and develops a new communication model to understand terrorism in the media age.