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Many questions involving the theory of surfaces, such as the classification of quartic surfaces, the description of moduli spaces for abelian surfaces, and the automorphism group of a Kummer surface, are touched upon in this volume.
Addressing the European study of religion in the interwar-period, these proceedings tackle one of the most problematic epochs of its history. The commonplace that understanding the present requires learning from the past is particularly true, as this case well illustrates.
This book constitutes the refereed proceedings of the Second International Workshop on the Arithmetic of Finite Fields, WAIFI 2008, held in Siena, Italy, in July 2008. The 16 revised full papers presented were carefully reviewed and selected from 34 submissions. The papers are organized in topical sections on structures in finite fields, efficient finite field arithmetic, efficient implementation and architectures, classification and construction of mappings over finite fields, and codes and cryptography.
Many questions dealing with solvability, stability and solution methods for va- ational inequalities or equilibrium, optimization and complementarity problems lead to the analysis of certain (perturbed) equations. This often requires a - formulation of the initial model being under consideration. Due to the specific of the original problem, the resulting equation is usually either not differ- tiable (even if the data of the original model are smooth), or it does not satisfy the assumptions of the classical implicit function theorem. This phenomenon is the main reason why a considerable analytical inst- ment dealing with generalized equations (i.e., with finding zeros of multivalued mappings)...
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, ther...
This volume offers a systematic, comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. The subject is somewhat dual to the very classical Galois Theory dealing with field extensions possessing a Galois correspondence. Solidly backed by over 250 exercises and an extensive bibliography, this book presents a compact and complete review of basic field theory, considers the Vahlen-Capelli Criterion, investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions, discusses field extensions that are simultaneously Galois and G-Cogalois, and presents nice applications to elementary field arithmetic.
This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.
The first theoretically informed study of the relationship between an academic discipline and what the Nazis termed their Weltanschauung. The first study of Sinnbildforschung, German ideograph or swastika studies, though more broadly it tells the tale of the development of German antiquarian studies (ancient Germanic history, archaeology, anthropology, folklore, historical linguistics and philology) under the influence of radical right wing politics, and the contemporary construction of 'Germanicness' and its role in Nazi thought. The swastika and similar symbols were employed by the ancestors of the modern day Germans. As these had also become emblematic symbols of the forces of German reaction, Sinnbildforschung became intrinsically connected with the National Socialist regime after 1933 and disappeared along with the Third Reich in 1945.
Nitric oxide is an endogenously produced gas with a wide range of biological effects and has been implicated in many physiological and pathophysiological processes. It is released by many cell types in various organs but is particularly important in the maintenance of normal lung function. Nitric oxide in exhaled breath has been identified as a marker for lung disease in some patients. Thus, it is appropriate to consider the lung separately for the role and functioning of nitric oxide. The authors identify key areas in the history, biochemistry, physiology, pathophysiology, immunology and clinical applications of nitric oxide in the lung. The contents of this book will be of particular importance to scientists and clinicians with an interest in lung disease. Moreover, the authors encompass state of the art opinions of and rational for the therapeutic potential of nitric oxide and its inhibitors.