Birkhäuser basel okt 2012 (288 resultados)

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'Fractals in Biology and Medicine' explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine. The book is the first comprehensive presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates in a logical sequence extended papers based on invited lectures and free communications presented at a symposium in Ascona, Switzerland, attended by leading scientists in this field, among them the originator of fractal geometry, Benoit Mandelbrot. 'Fractals in Biology and Medicine' begins by asking how the theoretical construct of fractal geometry can be applied to biomedical sciences and then addresses the role of fractals in the design and morphogenesis of biological organisms as well as in molecular and cell biology. The consideration of fractal structure in understanding metabolic functions and pathological changes is a particularly promising avenue for future research. 397 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -One of the key concerns in modern control theory is the design of steering strategies. The implementation of such strategies is done by a regulator. Presented here is a self-contained introduction to the mathematical background of this type of regulator design. The topics selected address the matter of greatest interest to the control community, at present, namely, when the design objective is the reduction of the influence of exogeneous disturbances upon the output of the system. In a first scenario the disturbance signal is regarded as a deterministic time series with known dynamics but unknown parameters. The design objective is then the asymptotic disturbance compensation. In a second scenario, no information about the disturbance signal is available apart from some bounds. Here, in an H-approach, control strategies are worked out which will prove efficient for all such disturbances. The intention of this book is to present ideas and methods on such a level that the beginning graduate student will be able to follow current research. New results are included, especially for nonlinear control systems, and as a service to the reader, an extensive appendix presents topics from linear algebra, invariant manifolds and calculus of variations, information which is hardly to be found in standard textbooks. Contents: Introduction - The problem of output regulation - Introduction - Problem statement - Output regulation via full information - Output regulation via full error feedback - A particular case - Well-posedness and robustness - The construction of a robust regulator - Disturbance attenuation via H-methods - Introduction - Problem statement - A characterization of the L2-gain of a linear system - Disturbance attenuation via full information - Disturbance attenuation via measured feedback - Full information regulators - Problem statement - Time-dependent control strategies - Examples - Time-independent control strategies- The local case - Nonlinear observers - Problem statement - Time-dependent observers - Error feedback regulators - Examples - Nonlinear H-techniques - Introduction - Construction of the saddle-point - The local scenario - Disturbance attenuation via linearization - Matrix equations - Linear matrix equations - Algebraic Riccati equations - Invariant manifolds - Existence theorem - Outflowing manifolds - Asymptotic phase - Convergence for T - A special case - Dichotomies and Lyapunov functions - Hamilton-Jacobi-Bellman-Isaacs equation - Introduction - Method of characteristics - The equation of Isaacs - The Hamiltonian version of Isaacs' equation - Bibliography 168 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The controversy between the wave theory and the emission theory of light early in the nineteenth century has been a subject of numerous studies. Yet many is sues remain unclear, in particular, the reasons for rejecting Young's theory of light. It appears that further progress in the field requires a better grasp of the overall situation in optics and related subjects at the time and a more thorough study of every factor suggested to be of importance for the dispute. This book is intended to be a step in this direction. It examines the impact of the concept of interference of light on the development of the early nineteenth century optics in general, and the theory of light, in particular. This is not a his tory of the wave theory of light, nor is it a history of the debate on the nature of light in general: it covers only that part of the controversy which involved the concept of interference. Although the book deals with a number of scientists, scientific institutions, and journals, its main character is a scientific concept, the principle of interference. While discussing the reasons for accepting or rejecting this concept I have primarily focused on scientific factors, although in some cases the human factor is examined as well. The book is a revised Ph. D. dissertation (University of Minnesota, 1984) writ ten under Alan E. Shapiro. 271 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary colligations whose state spaces are reproducing kernel Pontryagin spaces. This provides a modern system theory setting for the relationship between invariant subspaces and factorization, operator models, Krein-Langer factorizations, and other topics. The book is intended for students and researchers in mathematics and engineering. An introductory chapter supplies background material, including reproducing kernel Pontryagin spaces, complementary spaces in the sense of de Branges, and a key result on defining operators as closures of linear relations. The presentation is self-contained and streamlined so that the indefinite case is handled completely parallel to the definite case. 252 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume is based on lectures notes for the courses delivered at the Cimpa Summer School: From Classical to Modern Probability, held at Temuco, Chile, be th th tween January 8 and 26 , 2001. This meeting brought together probabilists and graduate students interested in fields like particle systems, percolation, Brownian motion, random structures, potential theory and stochastic processes. We would like to express our gratitude to all the participants of the school as well as the people who contributed to its organization. In particular, to Servet Martinez, and Pablo Ferrari for their scientific advice, and Cesar Burgueiio for all his support and friendship. We want to thank all the professors for their stimulating courses and lectures. Special thanks to those who took the extra work in preparing each chapter of this book. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: CIMPA, CNRS, CONI CYT, ECOS, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship, Universidad de Chile and Universidad de La Frontera. We are grateful to Miss Gladys Cavallone for her excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book. 240 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Many physical problems are meaningfully formulated in a cylindrical domain. When the size of the cylinder goes to infinity, the solutions, under certain symmetry conditions, are expected to be identical in every cross-section of the domain. The proof of this, however, is sometimes difficult and almost never given in the literature. The present book partially fills this gap by providing proofs of the asymptotic behaviour of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations.The book is a valuable resource for graduates and researchers in applied mathematics and for engineers. Many results presented here are original and have not been published elsewhere. They will motivate and enable the reader to apply the theory to other problems in partial differential equations. 192 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It follows naturally from the widely accepted Darwinian dictum that failures of populations or of species to adapt and to evolve under changing environments will result in their extinction. Population geneti cists have proclaimed a centerstage role in developing conservation biology theory and applications. However, we must critically reexamine what we know and how we can make rational contributions. We ask: Is genetic variation really important for the persistence of species Has any species become extinct because it ran out of genetic variation or because of inbreeding depression Are demographic and environmental stochas ticity by far more important for the fate of a population or species than genetic stochasticity (genetic drift and inbreeding) Is there more to genetics than being a tool for assessing reproductive units and migration rates Does conventional wisdom on inbreeding and 'magic numbers' or rules of thumb on critical effective population sizes (MVP estimators) reflect any useful guidelines in conservation biology What messages or guidelines from genetics can we reliably provide to those that work with conservation in practice Is empirical work on numerous threatened habitats and taxa gathering population genetic information that we can use to test these guidelines These and other questions were raised in the invitation to a symposium on conservation genetics held in May 1993 in pleasant surroundings at an old manor house in southern Jutland, Denmark. 443 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on the stage. But the structure of linear maps on such a space is too little understood; for these linear maps one cannot speak about something like the Jordan canonical structure of matrices. Fortunately there exists a large class of linear maps on vector spaces of arbi trary dimension, having some common features with the matrices. We mean the bounded linear operators on a complex Banach space. Certain types of bounded operators (such as the Dunford spectral, Foiadecomposable, scalar generalized or Colojoara spectral generalized operators) actually even enjoy a kind of Jordan decomposition theorem. One of the aims of the present book is to expound the most important results obtained until now by using bounded operators in the study of Lie algebras. 232 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In November 1998 many of the key leaders of new drug discovery forinflammatory diseases gathered at Hershey, Pennsylvania for the 9thInternational Conference of the Inflammation Research Association. TheConference was held over a five day period and provided a stimulatingenvironment for the open exchange of important advances in basicinflammation research as well as new drug discovery and development.This book encompasses some of the highlights of several presentationsmade at the Conference. It contains some of the latest and importantdevelopments in the field of inflammation research.Topics include the status of eotaxin and chemokines in asthma andallergy, signal transduction and regulation of diverse mediators such asthe JNK group of MAP kinases, TNF and IL-1 signaling of NF-kB as well asregulators of AP-1, macrophage metalloproteinases, lymphotoxin andfurther insights into the role of MCP-1 in disease. Also discussed aredrug targets in rheumatoid and osteoarthritis, fibrotic diseases, 160 pp. Englisch. …

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: - the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, - the Buchberger algorithm for Gröbner bases, - the Ritt-Wu characteristic set method for ordinary differential equations, and - the Riquier-Janet method for partial differential equations. This volume contains invited and contributed papers to the Symbolic Rewriting Techniques workshop, which was held at the Centro Stefano Franscini in Ascona, Switzerland, from April 30 to May 4, 1995. That workshop brought together 40 researchers from various areas of rewriting techniques, the main goal being the investigation of common threads and methods. Following the workshops, each contribution was formally refereed and 14 papers were selected for publication. 300 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Although surprising, it seems fitting that a drug developed at the dawn of the era of rational drug design and therapeutics, methotrexate, should remain in common use for the therapy of so many different kinds of illnesses. Moreover, methotrexate has completely revolutionized the way in which medicine is practiced in a number of speciality areas. First developed to treat malignancies, methotrexate is now commonly used to treat gynecological problems, inflammatory arthritis, skin disease and probably other ailments as well. This work is designed to give a broad overview of the history of methotrexate's development, its prior use and its current therapeutic uses. As discussed in Chapter I, aminopterin and methotrexate were designed to inhibit mammalian folate metabolism but the concept of folic acid antag onism was soon applied to the development of antibacterial and anti parasitic agents. Trimethoprim and sulfa drugs were among the first antibiotics developed and they also remain quite useful today for the treat ment of a variety of infections. 152 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Fatty acids play an important role in the barrier function of skin and represent a major source of proinflammatory mediators such as prostaglandins, leukotrienes and other lipids in inflammatory skin disorders. This book combines the two major functions of fatty acids in skin biology. In the first part the biosynthesis of fatty acids in skin with its role in barrier function as well as the role of dietary fatty acids on skin cell function and in the treatment of inflammatory skin diseases is presented. The second part deals with skin as a source of proinflammatory eicosanoids, especially with the keratinocyte as a major cellular source. Metabolism of eicosanoids in skin, its role in psoriasis and atopic dermatitis as well as pharmacological inhibition of eicosanoid biosynthesis is reviewed. The book finishes with a chapter describing the methods used for quantification of fatty acids and derivatives in skin inflammation. Anyone interested in skin physiology would benefit from the overviews about the two sites of fatty acids' function in skin integrity and in skin inflammation. 196 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume contains a selection from the papers presented at the Fourth European Multigrid Conference, held in Amsterdam, July 6-9,1993. There were 78 registered participants from 14 different countries, and 56 presentations were given. The preceding conferences in this series were held in Cologne (1981, 1985) and in Bonn (1990). Also at the other side of the Atlantic special multigrid conferences are held regularly, at intervals of two years, always in Copper Mountain, Colorado, US. The Sixth Copper Mountain Conference on Multigrid Methods took place in April, 1993. Circumstances prevented us from putting a larger time interval between the Copper and Amsterdam meetings. The next European meeting is planned in 1996, a year later than the next Copper Meeting. When the first multigrid conference was held in 1981 there was no doubt about the usefulness of a conference dedicated specially to multigrid, because multigrid was a new and relatively unexplored subject, still in a pioneering stage, and pursued by specialists. The past twenty years have shown a rapid growth in theoretical understanding, useful applications and widespread acceptance of multi grid in the applied disciplines. Hence, one might ask whether there is still a need today for conferences specially dedicated to multigrid. The general consensus is that the answer is affirmative. New issues have arisen that are best addressed or need also be addressed from a special multigrid point of view. 358 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The lung and its contiguous structures are commonly involved in several of the rheumatic diseases (Table 1), either by direct manifestation of disease or as a secondary effect from infection or complications of therapy. In this chapter, we detail the various pulmonary manifestations of the major rheu matological conditions. The common symptoms of pulmonary diseases and how frequently they are implicated in rheumatic disorders are review ed. In addition, radiology and physiology of the lung, diagnostic proce dures and therapeutic options are discussed. Table l. Respiratory associations of the rheumatic disorders Disease Airways Parenchyma Vessels WalVmuscles Lung Pleura Pulmonary Chest pleurisy hypertension Rheumatoid bronchiectasis, pneumonia, arthritis obliterative fibrosing effusion bronchiolitis alveolitis, empyema nodules Systemic pneumonia pleurisy hypertension lupus fibrosing effusion shrinking lungs erythematosus alveolitis, with high atelectasis diaphragm Systemic bronchiectasis fibrosing hypertension 'encased chest' sclerosis alveolitis, aspiration pneumonia Sjogren's bronchitis fibrosing alveolitis syndrome lymphoma Dermatomyositis aspiration myopathy polymyositis pneumonia, fibrosing alveolitis Ankylosing upper lobe cos- spondylitis fibrosis vertebral fixation joint Behget's haemorrhage aneurysm syndrome Relapsing upper airway polychondritis narrowing Pulmonary vasculitides nodules The Respiratory System in Rheumatic Diseases 25 1. 2. Respiratory Symptoms The most common respiratory symptoms in patients with rheumatic disease and pulmonary involvement are non-specific and include cough, breathlessness and chest pain and can be the result of involvement of air ways, lung parenchyma, pleura, chest wall or pulmonary vessels. 1. 3. Tissue Involvement 1. 3. 1. 292 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is concerned with the role played by modules of infinite length when dealing with problems in the representation theory of groups and algebras, but also in topology and geometry; it shows the intriguing interplay between finite and infinite length modules. 452 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Plate tectonics has significantly broadened our view of the dynamics of continental evolution, involving both the processes currently active at the surface and those extending deep into the interior of the Earth. Seismic anisotropy provides some of the most diagnostic evidence for mapping past and present deformation of the entire crustmantle system. This volume contains papers presented originally at an international workshop at the Chateau of Trest in the Czech Republic in 1996. This workshop brought together geophysicists and geologists who work in the field of observational and theoretical seismology, mineral and rock physics, gravity studies and geodynamic modelling. Topics include large-scale anisotropy of the Earth's mantle, mantle heterogeneity vs. anisotropy 3-D velocity and density structures and inferences on mantle dynamics, mineral and rock physics studies, and mathematical aspects of complex wave propagation. 520 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. 148 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2002.The subject of this book is the study of automorphic distributions, by which is meant distributions on R 2 invariant under the linear action of SL(2,Z), and of the operators associated with such distributions under the Weyl rule of symbolic calculus. Researchers and postgraduates interested in pseudodifferential analyis, the theory of non-holomorphic modular forms, and symbolic calculi will benefit from the clear exposition and new results and insights. 260 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In step with our growing lifespan, dementia is becoming a widespreadhandicap to the health and well-being of individuals and a burden onhuman society world-wide. The increasing prevalence of this tragiccondition has stimulated an explosion of scientific research in the lastten years, which resulted in numerous profound insights and technicalinnovations. This timely volume presents both an overall and a detailedoverview of the current worldwide knowledge about the neuroscientificbasis of dementia.Leading authorities in their fields provide a far-reaching synthesis ofall topics in dementia research, including pathogenesis of dementia,neuroimaging of the earliest alterations, potential biological andgenetic markers for Alzheimer`s Disease and new therapeutic strategies.Each chapter discusses clinical implications and areas of controversy,highlights the wide range of current and future therapeuticpossibilities and indicates promising directions for further research. 324 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume will be of great value to all those researchers in the area of the inflam matory response, notably academics, clinicians and members of the pharmaceutical industry. The book has in the main been restricted to three inducible enzymes, namely nitric oxide synthase (iNOS), cyclooxygenase (COX-2) and hemeoxygenase (HO-l), although matrix metalloproteinases, xanthine oxidoreductase and tissue transgluta minases are reviewed. The modulation of these enzymes is viewed as possible novel therapeutic advances in the area of inflammation and also cancer. The latter topic may well be the subject of a further book. It will be interesting to observe the progress of such new therapies in the next decade. Already some of these enzyme modulators have been approved for the treat ment of inflammatory disease, as evidenced by the new families of COX-2 inhibitors. We believe such advances will herald a series of new and exciting agents to be included in the clinician's armamentarium in the constant struggle against inflammatory disease. The editors wish to thank all contributors to this volume on inducible enzymes. It should however be stressed that the views expressed by the authors are personal and do not necessarily reflect those of the editors. Indeed, the reader may find con flicting statements in a number of the chapters. We believe that this is entirely appro priate as this volume reflects the latest work in a rapidly developing area. 228 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physics (11th TMP), held in Chemnitz, March 25-28, 1999. The conference was dedicated to the memory of Siegfried Prössdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics are ranging from integral and pseudodifferential equations, boundary value problems, operator theory, boundary element and wavelet methods, approximation theory and inverse problems to various concrete problems and applications in physics and engineering, and reflect Prössdorf's broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Siegfried Prössdorf and includes a list of his publications. The book is addressed to a wide audience in the mathematical and engineering sciences. 536 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Research into inflammatory mechanisms that may cause damage to the Alzheimer's disease (AD) brain has now been ongoing for nearly two decades. Some two dozen clinical studies have strongly suggested that conventional anti-inflammatory drugs may be useful to delay the onset or slow the progression of the disorder. Moreover, virtually all the major systems of the innate immune response appear to be present, and most are upregulated, in pathologically-vulnerable regions of the AD brain. These new findings are described in this volume - first in overview form, followed by chapters on topics of special interest. In many ways, to understand AD brain inflammation, one need only review a text on peripheral inflammation biology, leaving out the chapters on humoral medi ators and substituting microglia for macrophages. In several other key respects, however, AD brain inflammation is unique, due primarily to idiosyncratic interac tions of inflammatory mediators and mechanisms with classical AD pathology: amyloid ~ peptide(A~) deposits and neurofibrillary tangles (NFTs). For this reason, some key concepts about the inflammation that occurs in AD may warrant discus sion in preparation for the more detailed chapters that follow. 284 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology. 402 pp. Englisch. …

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Focussed specifically on children and pediatric respiratory diseases, 'The Pediatric Lung+' reviews the current status of pharmacological therapy for asthma, viral pneumonia, cystic fibrosis, bronchopulmonary dysplasia and acute respiratory failure. A review of aerosol delivery systems in children and an up-to-date treatise on mucolytic agents is also included. The chapters are written by leading specialists in the field and summarize the latest developments in pediatric pulmonology, as well as covering a comprehensive range of respiratory diseases in children. Pediatric pulmonologists, allergologists, intensivists, neonatologists and general pediatricians will find 'The Pediatric Lung' an invaluable source of reference. Clinicians will be particularly interested in the new information concerning aerosol delivery systems, gene therapy for cystic fibrosis, new modalities of therapy for asthma, the emerging role of nitric oxide and a treatise on modern mycolytic agents. 356 pp. Englisch. …

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Cet ouvrage, qui est la these de doctorat d'Etat que j'ai soutenue devant l'Universite de Provence aAix-en-Provence le 30 juin 1988, mais alaquelle j'ai toutefois apporte posterieurement certaines rectifications, a pour objet la comparaison structurale du Tractatus de Wittgenstein avec I'Ethique de Spinoza. Monsieur le Professeur Gilles-Gaston Granger, qui m'a confie le soin de cette etude comparative et en a suivi I'elaboration, et auquel je renou velle ici l'expression de ma respectueuse gratitude, a perl;u la pensee de Wittgenstein comme une transposition moderne de la doctrine de Spinoza et illui a paru interessant de comparer les oeuvres representatives de ces deux auteurs que sont le Tractatus et l'Ethique. Les travaux de Martial Gueroult m'ont guide dans mes recherches en vue d'approfondir le systeme de I'Ethique et j'ai egalement mis aprofit les critiques qui ont ete formulees ala soutenance de ma these par Madame le Professeur Elisabeth Schwartz, presidente du jury. Je remercie l'Universite de Bäle, la Freiwillige Akademische Gesell schaft aBäle et la fondation Berta Hess-Cohn aBäle qui ont bien voulu financer I'edition de cet ouvrage. Et je suis reconnaissant aux Editions Birkhäuser a Bäle et particulierement a Monsieur Albert Gomm de I'at tention qu'ils ont apportee ason impression tout en respectant, dans la mesure du possible, la presentation materielle de ma these de doctorat. 424 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Three-dimensional topology includes two vast domains: the study of geometric structures on 3-manifolds and the study of topological invariants of 3-manifolds, knots, etc. This book belongs to the second domain. We shall study an invariant called the maximal abelian torsion and denoted T. It is defined for a compact smooth (or piecewise-linear) manifold of any dimension and, more generally, for an arbitrary finite CW-complex X. The torsion T(X) is an element of a certain extension of the group ring Z[Hl(X)]. The torsion T can be naturally considered in the framework of simple homotopy theory. In particular, it is invariant under simple homotopy equivalences and can distinguish homotopy equivalent but non homeomorphic CW-spaces and manifolds, for instance, lens spaces. The torsion T can be used also to distinguish orientations and so-called Euler structures. Our interest in the torsion T is due to a particular role which it plays in three-dimensional topology. First of all, it is intimately related to a number of fundamental topological invariants of 3-manifolds. The torsion T(M) of a closed oriented 3-manifold M dominates (determines) the first elementary ideal of 7fl (M) and the Alexander polynomial of 7fl (M). The torsion T(M) is closely related to the cohomology rings of M with coefficients in Z and ZjrZ (r ;::: 2). It is also related to the linking form on Tors Hi (M), to the Massey products in the cohomology of M, and to the Thurston norm on H2(M). 212 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and represent a noticeable contribution to the subject. One of the most famous predictions of the Kolmogorov theory of turbulence is the so-called Kolmogorov-obukhov five-thirds law. As is known, this law is heuristic and, to date, there is no rigorous justification. The article of A. Biryuk deals with the Cauchy problem for a multi-dimensional Burgers equation with periodic boundary conditions. Estimates in suitable norms for the corresponding solutions are derived for 'large' Reynolds numbers, and their relation with the Kolmogorov-Obukhov law are discussed. Similar estimates are also obtained for the Navier-Stokes equation. In the late sixties J. L. Lions introduced a 'perturbation' of the Navier Stokes equations in which he added in the linear momentum equation the hyper dissipative term (-Ll),Bu, f3 ~ 5/4, where Ll is the Laplace operator. This term is referred to as an 'artificial' viscosity. Even though it is not physically moti vated, artificial viscosity has proved a useful device in numerical simulations of the Navier-Stokes equations at high Reynolds numbers. The paper of of D. Chae and J. Lee investigates the global well-posedness of a modification of the Navier Stokes equation similar to that introduced by Lions, but where now the original dissipative term -Llu is replaced by (-Ll)O:u, 0 S Ct 5/4. 164 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -About one half of the papers in this volume are based on lectures which were pre sented at a conference at Leipzig University in August 1994, which was dedicated to Vladimir Petrovich Potapov. He would have been eighty years old. These have been supplemented by: (1) Historical material, based on reminiscences of former colleagues, students and associates of V.P. Potapov. (2) Translations of a number of important papers (which serve to clarify the Potapov approach to problems of interpolation and extension, as well as a number of related problems and methods) and are relatively unknown in the West. (3) Two expository papers, which have been especially written for this volume. For purposes of discussion, it is convenient to group the technical papers in this volume into six categories. We will now run through them lightly, first listing the major theme, then in parentheses the authors of the relevant papers, followed by discussion. Some supplementary references are listed at the end; OT72 which appears frequently in this volume, refers to Volume 72 in the series Operator Theory: Advances and Applications. It was dedicated to V.P. Potapov. 1. Multiplicative decompositions (Yu.P. Ginzburg; M.S. Livsic, I.V. Mikhailova; V.I. Smirnov). 524 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The school, the book This book is based on lectures given by the authors of the various chapters in a three week long CIMPA summer school, held in Sophia-Antipolis (near Nice) in July 1992. The first week was devoted to the basics of symplectic and Riemannian geometry (Banyaga, Audin, Lafontaine, Gauduchon), the second was the technical one (Pansu, Muller, Duval, Lalonde and Sikorav). The final week saw the conclusion ofthe school (mainly McDuffand Polterovich, with complementary lectures by Lafontaine, Audin and Sikorav). Globally, the chapters here reflect what happened there. Locally, we have tried to reorganise some ofthe material to make the book more coherent. Hence, for instance, the collective (Audin, Lalonde, Polterovich) chapter on Lagrangian submanifolds and the appendices added to some of the chapters. Duval was not able to write up his lectures, so that genuine complex analysis will not appear in the book, although it is a very current tool in symplectic and contact geometry (and conversely). Hamiltonian systems and variational methods were the subject of some of Sikorav's talks, which he also was not able to write up. On the other hand, F. Labourie, who could not be at the school, wrote a chapter on pseudo-holomorphic curves in Riemannian geometry. 331 pp. Englisch.…

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multi-dimensional Schrödinger equation, and also to take into account the so-called tunnel effects. Finite-dimensional linear theory is reviewed in detail. Infinite-dimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume. 304 pp. Englisch.…