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Taschenbuch. Zustand: Neu. Neuware -These notes are based on lectures presented during the seminar on ' Asymptotic Statistics' held at SchloB Reisensburg, Gunzburg, May 29-June 5, 1988. They consist of two parts, the theory of asymptotic expansions in statistics and probabilistic aspects of the asymptotic distribution theory in nonparametric statistics. Our intention is to provide a comprehensive presentation of these two subjects, leading from elementary facts to the advanced theory and recent results. Prospects for further research are also included. We would like to thank all participants for their stimulating discussions and their interest in the subjects, which made lecturing very pleasant. Special thanks are due H. Zimmer for her excellent typing. We would also like to take this opportunity to to express our thanks to the Gesellschaft fur mathematische Forschung and to the Deutsche Mathematiker Vereinigung, especially to Professor G. Fischer, for the opportunity to present these lectures and to the Birkhauser Verlag for the publication of these lecture notes. R. Bhattacharya, M. Denker Part I: Asymptotic Expansions in Statistics Rabi Bhattacharya 11 1. CRAMER-EDGEWORTH EXPANSIONS Let Q be a probability measure on (IRk, B'), B' denoting the Borel sigmafield on IR'. Assume that the s - th absolute moment of Q is finite, (1.1) P. := J II x lis Q(dx)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 124 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Dies ist ein neues Lehrbuch über Funktionentheorie, konzipiert als begleitender Text für eine einsemestrige einführende Vorlesung auf diesem Gebiet. Einige weiterführende Themen werden ebenfalls behandelt. Der Anhang enthält drei Kapitel über den Zusammenhangsbegriff, kompakte metrische Räume und harmonische Funktionen.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 228 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -In den letzten 30 Jahren sind die Nutzungsansprüche an den knappen verfügbaren Lebensraum drastisch gestiegen. Wachsende Probleme ergeben sich bei der Roh- stoffgewinnung und bei der Abfallbeseitigung. Der Aufbau der obersten Teile der Geosphäre, ihre Wechselwirkung mit der Atmosphäre und die natürliche Stoffzirkulation - das traditionelle Gebiet der Erdwissenschaften - ist bei der Lösung der anstehenden, meist anthropogen verursachten Umweltprobleme von zentraler Bedeutung. Gleichzeitig haben sich die technischen Methoden für Beobachtung, Analyse und Sanierung rasch weiterentwickelt. In diese Richtung zielen die an der ETH Zürich angebotenen Nachdiplomkurse in angewandten Erdwissenschaften. Der erste Teil des Buches handelt ausschliesslich von Hanginstabilitäten. Im zweiten Teil folgt eine Erweiterung um einige weniger offensichtlichen Gefahrenprozesse, wie die Schadstoffausbreitung in der Geo-, Hydro- und der Atmosphäre und die Beeinflussung von Grundwasserströmen durch Tunnelbauten. Verknüpft mit den Grundlagen vermitteln die Beiträge einen Ausschnitt gegenwärtiger Forschung und gewähren einen Einblick in fachübergreifende Problemlösungen aus der Praxis.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 448 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Functional Analysis is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathemati- cal physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more ad- vanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 316 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, including quadrature rules and spline or wavelet approximations, is covered and studied from a unique point of view. The approach takes advantage of the fruitful interplay between approximation theory, concrete operator theory, and local Banach algebra techniques. The book is addressed to a wide audience, in particular to mathematicians working in operator theory and Banach algebras as well as to applied mathematicians and engineers interested in theoretical foundations of various methods in general use, particularly splines and wavelets. The exposition contains numerous examples and exercises. Students will find a large number of suggestions for their own investigations.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 396 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Kurt Gödel, together with Bertrand Russell, is the most important name in logic, and in the foundations and philosophy of mathematics of this century. However, unlike Russel, Gödel the mathematician published very little apart from his well-known writings in logic, metamathematics and set theory. Fortunately, Gödel the philosopher, who devoted more years of his life to philosophy than to technical investigation, wrote hundreds of pages on the philosophy of mathematics, as well as on other fields of philosophy. It was only possible to learn more about his philosophical works after the opening of his literary estate at Princeton a decade ago. The goal of this book is to make available to the scholarly public solid reconstructions and editions of two of the most important essays which Gödel wrote on the philosophy of mathematics. The book is divided into two parts. The first provides the reader with an incisive historico-philosophical introduction to Gödel's technical results and philosophical ideas. Written by the Editor, this introductory apparatus is not only devoted to the manuscripts themselves but also to the philosophical context in which they were written. The second contains two of Gödel's most important and fascinating unpublished essays: 1) the Gibbs Lecture ('Some basic theorems on the foundations of mathematics and their philosophical implications', 1951); and 2) two of the six versions of the essay which Gödel wrote for the Carnap volume of the Schilpp series The Library of Living Philosophers ('Is mathematics syntax of language ', 1953-1959).Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 240 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -New trends in free boundary problems and new mathematical tools together with broadening areas of applications have led to attempts at presenting the state of art of the field in a unified way. In this monograph we focus on formal models representing contact problems for elastic and elastoplastic plates and shells. New approaches open up new fields for research. For example, in crack theory a systematic treatment of mathematical modelling and optimization of problems with cracks is required. Similarly, sensitivity analysis of solutions to problems subjected to perturbations, which forms an important part of the problem solving process, is the source of many open questions. Two aspects of sensitivity analysis, namely the behaviour of solutions under deformations of the domain of integration and perturbations of surfaces seem to be particularly demanding in this context. On writing this book we aimed at providing the reader with a self-contained study of the mathematical modelling in mechanics. Much attention is given to modelling of typical constructions applied in many different areas. Plates and shallow shells which are widely used in the aerospace industry provide good exam ples. Allied optimization problems consist in finding the constructions which are of maximal strength (endurance) and satisfy some other requirements, ego weight limitations. Mathematical modelling of plates and shells always requires a reasonable compromise between two principal needs. One of them is the accuracy of the de scription of a physical phenomenon (as required by the principles of mechanics).Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 388 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This book is devoted to a new direction in linear algebra and operator theory that deals with the invariants of partially specified matrices and operators, and with the spectral analysis of their completions. The theory developed centers around two major problems concerning matrices of which part of the entries are given and the others are unspecified. The first is a classification problem and aims at a simplification of the given part with the help of admissible similarities. The results here may be seen as a far reaching generalization of the Jordan canonical form. The second problem is called the eigenvalue completion problem and asks to describe all possible eigenvalues and their multiplicities of the matrices which one obtains by filling in the unspecified entries. Both problems are also considered in an infinite dimensional operator framework. A large part of the book deals with applications to matrix theory and analysis, namely to stabilization problems in mathematical system theory, to problems of Wiener-Hopf factorization and interpolation for matrix polynomials and rational matrix functions, to the Kronecker structure theory of linear pencils, and to non everywhere defined operators. The eigenvalue completion problem has a natural associated inverse, which appears as a restriction problem. The analysis of these two problems is often simpler when a solution of the corresponding classification problem is available.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 348 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Schwanzlose Flugzeuge sind Flugzeuge, fast wie andere auch. Wie diese besitzen sie Fltigel, Steuerung, eventuell Ftihrerraum, Fahrwerk, Motor, etc . Der Aufbau ist daher kaum verschieden von einem 'normalen' Flugzeug. Der wesentliche Unterschied liegt al lein in der Tatsache, daB sie keinen 'Schwanz' haben und daher aerodynamisch ganz anders reagieren. 1m vorliegenden Buch 5011 ausschlieBlich diese aerodynamische Seite der schwanzlosen Flug zeuge betrachtet werden. Der bauliche Aspekt wird nur dort ange deutet, wo sich Unterschiede ergeben, andernfalls wird er ver nachlassigt. Dieses Buch ist also kein Handbuch zu dem Problem: 'Wie baue ich ein schwanzloses Flugzeug 7'. Es sollen hier vielmehr aIle diejenigen Aspekte betrachtet werden, durch die sich ein schwanz loses Flugzeug von einem Schwanz-Flugzeug unterscheidet. Dieses Buch beantwortet damit eher die Frage: 'Wie entwerfe ich ein der artiges Gerat 7'. Wir, die beiden Autoren, hatten tiber mehrere Jahre hinweg wahrend unserer Zusammenarbeit an der Universitat Freiburg immer wieder dartiber diskutiert, daB eigentlich ein Buch tiber schwanz lose Flugzeuge geschrieben werden sollte. In ihm sollten nicht nur ausgeftihrte Gerate des einen oder anderen Konstrukteurs be schrieben und auch kritisch betrachtet werden. Vielmehr sollten in solch einem Buch die grundsatzlichen Probleme und Oberlegungen zu der Konstruktion und dem Fliegen von Nurfltigeln behandelt wer den.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 640 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Der heutige Hochschulunterricht für Mathematiker gründet meist auf Abstraktion und führt vom Allgemeinen zum Speziellen. Die Methode hat Vorteile, sie stärkt das Denkvermögen und meidet lästige Wiederholungen. Doch sie 'stellt den Pflug vor die Ochsen', weil Abstraktion auf Spezialfälle baut, die dem Lernenden oft fremd sind. So bleibt der Erfolg den Glücklichen vorbehalten, die den Weg von der Abstraktion zu den Beispielen finden. Dieses Lehrbuch führt von zwei Spezialfällen zur Allgemeinheit und gründet nicht auf Abstraktion. Die Beweise der abstrakten Algebra werden zuerst am konkreten Beispiel der Matrizen vorgeführt. Zur Schärfung der Anschauung wird dann die Begriffswelt der Elementargeometrie durchleuchtet. Die Auseinandersetzung mit dem Lehrstoff der Schule dient der Vorbereitung auf die geometrisch gefärbte Sprache der linearen Algebra, die am Ende des Buches erläutert wird. Dem Text sind Anwendungsbeispiele und zahlreiche historische Kommentare beigefügt.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 652 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Der Astronom F.W. Bessel gilt zusammen mit dem Mathematiker C.G.J. Jacobi und dem Physiker Franz Neumann als Begründer der sogenannten 'Königsberger Schule', die auf die Universitäten in Deutsch- land, aber auch in Russland und im gesamten osteuropäischen Raum, einen grossen Einfluss hatte. Als Autodidakt erwarb sich Bessel schon in jungen Jahren mit seinen astronomischen Arbeiten die Anerkennung der führenden Gelehrten seiner Zeit. Nachdem er als Professor an die Albertina nach Königsberg berufen worden war, erhielt er bereits mit 27 Jahren auf Betreiben von Gauss die Ehren- doktorwürde der Universität Göttingen. Ihm wurde die Planung und der Bau der Königsberger Sternwarte übertragen, die sich unter seiner Leitung zu einem internationalen Zentrum der Astronomie entwickelte. Bessel leistete aber nicht nur in der Astronomie und der Geodäsie Bedeutendes, sondern auch in der Theoretischen Mathematik. Diese Biographie beschränkt sich nicht auf die Schilderung der wissenschaftlichen Leistungen Bessels, sondern stellt ihn auch als Mensch und Persönlichkeit vor. Besondere Aufmerksamkeit widmet das Buch den engen wissenschaftlichen und persönlichen Be- ziehungen, die Bessel, nachdem er schon in jungen Jahren in die Petersburger Akademie aufgenommen worden war, zur russischen Wissenschaft und zu den russischen Wissenschaftlern entwickelt hat. Engagiert und lebendig schildert der Autor Bessels Lebensgeschichte und versucht, Bessels zahlreiche, weitgespannte wissenschaftliche Arbeiten und Leistungen auch dem Nichtfachmann verständlich und spannend darzustellen.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 332 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -17 2 STRESS FIELDS FOR SIMPLE STRUCTURES 2. 1 INTRODUCTION In this chapter the behavior and strength of simple structures made of rein forced or prestressed concrete is investigated with the aid of stress fields. In particular, the webs and flanges of beams, simple walls, brackets, bracing beams and joints of frames are investigated. By this means, the majority of design cases are already covered. In reality, all structural components are three-dimensional. Here, however, components are considered either directly as two-dimensional plate elements (i. e. the plane stress condition with no variation of stress over the thickness of the element) or they are subdivided into several plates. Since two-dimensional structural elements are statically redundant, it is pOSSible for a particular loading to be in equilibrium with many (theoretically an infinite number of) stress states. If the lower bound method of the theory of plasticity is employed, then an admissible stress field or any combination of such stress fields may be selected. In chapter 4 it is shown that this method is suitable for the design of reinforced concrete structures, and the consequence of the choice of the final structural system on the structural behavior is dealt with in detail. The first cases of the use of this method date back to Ritter [6] and Morsch [4], who already at the beginning of the century investigated the resultants of the internal stresses by means of truss models.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 160 pp. Englisch.

Buch. Zustand: Neu. Neuware -The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity andthe geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 424 pp. Englisch.

Buch. Zustand: Neu. Neuware -Urban subsurface resources and particularly urban groundwater are vulnerable to environmental impacts, and their rational management is of major importance. In this book a multidisciplinary team of specialists and scientists presents innovative process-oriented approaches to the sustainable use of these resources. The included case studies from northwestern Switzerland describe representative environments and are relevant for urban areas in general. They illustrate the protection of groundwater; river restoration; engineering and hydrogeological questions related to urban infrastructure and management concepts; as well as monitoring, modeling and remediation strategies for contaminated sites; problems caused by karst in urban environments; the use of shallow geothermal energy; and natural hazards such as flood events and earthquakes.It is demonstrated that modern quantitative earth sciences can contribute significantly in finding solutions concerning the sustainable use of subsurface resources in urban environments.The book is an invaluable source of information for hydrogeologists, geologists, urban planners, water supply engineers, and environmental agencies.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 232 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Two events have recently improved the prospects of protecting fish and their environment in Switzerland: the acceptance of a new Federal Water Protection Law in the plebiscite of May 17th 1992, and the new Federal Legislation on Fisheries, in force since January 1st 1994. With this legal framework, the possibilities for protection of nature and landscape have now considerably improved in Switzerland. The most important aims of the Federal Law on Water Protection are to safeguard the natural habitats of the native flora and fauna and water as the habitat of aquatic organisms. This includes not only the preservation or restoration of water quality in lakes and rivers, but also, in rivers used for hydroelectricity, irrigation or as industrial or other water supplies, the maintenance of sufficient water to fulfill the minimal requirements for fish. However, good quality water in sufficient quan tities alone is not enough to guarantee the survival of fish. Intact fish habitats comprise various phYsical structures including plenty of hiding places, hunting grounds, reproduction and nursery areas within suitable distances from each other. This third aspect of conservation and restoration of aquatic habitats is a central point in the new Federal Law on Fisheries. Whereas the former versions of this law were more concerned with fishery regulations, the recent legislation defines new areas of responsibility for the federal and the cantonal governments.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 360 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -The field of neuroscience is experiencing a period of unprecedented growth. The range of ap proaches used to investigate the fundamental mechanisms underlying different aspects of somatosen sory perception has expanded substantially since the last International Symposium on Informa tion Processing in the Somatosensory System. Diversity of approach has become the hallmark of somatosensory research, and I believe that the impact of this diversity continues to be positive. of this symposium with previous symposia will show that researchers are employing Comparison an array of new methods and technologies and that they are offering new insights into old ques tions. The techniques range from studies of ionic channels, single unit recordings, functional brain imaging to psychophysics. A careful reading ofthe chapters reveals subtle and, on occasion, also obvious differences of opinion about experimental outcomes, approaches, and views. These differences are healthy signs of venture into new and uncharted territories. It is my hope that read ers will appreciate both the diversity of the research addressing somesthesis, and the personal commitment, enthusiasm, and scientific rigor of the participants who made this symposium and volume meaningful for all involved. We all look forward to tracking the progress of somatosensory research at our next Symposium at the turn of the century. OveFranzen November 1995 xv List of Contributors David T. Blake Harold Burton Krieger MindlBrain Institute Department of Anatomy and Neurobiology Department of Neuroscience Washington University The Johns Hopkins University School of Medicine Baltimore, MD 21218, USA St.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 448 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 380 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Ernst Specker has made decisive contributions towards shaping direc tions in topology, algebra, mathematical logic, combinatorics and algorith mic over the last 40 years. We have derived great pleasure from marking his seventieth birthday by editing the majority of his scientific publications, and thus making his work available in a unified form to the mathematical community. In order to convey an idea of the richness of his personality, we have also included one of his sermons. Of course, the publication of these Selecta can pay tribute only to the writings of Ernst Specker. It cannot adequately express his originality and wisdom as a person nor the fascination he exercises over his students, colleagues and friends. We can do no better than to quote from Hao Wang in the 'Festschrift' Logic and Algorithmic I: Specker was ill for an extended period before completing his formal education. He had the leisure to think over many things. This experi ence may have helped cultivating his superiority as a person. In terms of traditional Chinese categories, I would say there is a taoist trait in him in the sense of being more detached, less competitive, and more under standing. I believe he has a better sense of what is important in life and arranges his life better than most logicians. We are grateful to Birkhauser Verlag for the production of this Selecta volume. Our special thanks go to Jonas Meon for sharing with us his intimate knowledge of his friend Ernst Specker.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 432 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This volume grew out of the preparation and achievements of the Symposium organized by the Luxembourg Mathematical Society in June 1992, at Chateau Bourglinster (Luxembourg). We express our best thanks to Monsieur Marc Fischbach, ministre de I 'Education nationale, Luxembourg Monsieur Rene Steichen, ministre delegue aux Affaires culturelles, Luxem bourg, Academie des sciences, Paris, Academie roya1e des sciences, des lettres et des beaux-arts de Belgique, Section des sciences de l'Institut grand-ducal, Luxembourg, and all lecturers and participants. We hope that this contribution may ease a better understanding of the vitality in mathematics during the first half of the present century and provide clues for the explanation of its influence on later developments. We say our gratitude to persons who assisted us with their advice and help for the technical realization of the volume, especially Mrs. Suzanne D' Addato-Mues, Mr. Fran~ois Gaillard, Mr. Hubert Glesener. We are also grateful to Birkhauser Verlag for having accepted this publication. Now the book should speak for itself .Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 756 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical physics or molecular biology will benefit from this thorough study which is complemented by many exercises and examples.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 448 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This book was written to make the material presented in my book, Stahlbetonbrucken, accessible to a larger number of engineers throughout the world. A work in English, the logical choice for this task, had been contemplated as Stahlbetonbrucken was still in its earliest stages of preparation. The early success of Stahlbetonbrucken provided significant impetus for the writing of Prestressed Concrete Bridges, which began soon after the publication of its predecessor. The present work is more than a mere translation of Stahlbetonbrucken. Errors in Stahlbetonbrucken that were detected after publication have been corrected. New material on the relation between cracking in concrete and corrosion of reinforce ment, prestressing with unbonded tendons, skew-girder bridges, and cable-stayed bridges has been added. Most importantly, however, the presentation of the material has been extensively reworked to improve clarity and consistency. Prestressed Concrete Bridges can thus be regarded as a thoroughly new and improved edition of its predecessor.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 552 pp. Englisch.

Buch. Zustand: Neu. Neuware -Influenza continues to be an ongoing problem despite the existence of vaccines and drugs. Disease outbreaks can occur relatively quickly as witnessed with the recent emergence of the influenza virus A/H1N1 pandemic. The development of new anti-influenza drugs is thus a major challenge.This volume describes all aspects of the virus structure and function relevant to infection. The focus is on drug discovery of inhibitors to the enzyme sialidase, which plays a key role in the infectious lifecycle of the virus. Following an overview of the influenza virus, the haemagglutinin, the interactions with the cell receptors and the enzymology of virus sialidase, recent results in drug design are presented. These include a full coverage of the design, synthesis and evaluation of carbohydrate as well as non-carbohydrate influenza virus sialidase inhibitors. Further reviews of the clinical experience with influenza virus sialidase inhibitors and of the development of resistance to these inhibitor drugs complement the topic.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 188 pp. Englisch.