Bücher veröffentlicht von Springer Basel

This tenth volume in the Poincare Seminar Series describes recent developments at one of the most challenging frontiers in statistical physics - the deeply related fields of glassy dynamics, especially near the glass transition, and of the statics and dynamics of granular systems.

Leading scientists address current topics such as non-smooth optimization, Hamilton-Jacobi-Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems.

This book provides a fresh but physically sound approach to Advanced Seismic Hazard Assessment. It aims to bring together modern interdisciplinary research and end-users, who have to cope with the problems of the earthquake risk management.

This book provides a systematic development of the Rubio de Francia theory of extrapolation, its many generalizations and its applications to one and two-weight norm inequalities. The book is based upon a new and elementary proof of the classical extrapolation theorem that fully develops the power of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equations.

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.

Radioactive Isotopes in Clinical Medicine and Research XXIII presents an update in the latest clinical research in nuclear medicine.

In Gegenwart und Zukunft entwickelt sich die Instandsetzung des Brückenbestandes immer mehr zu einer infrastrukturellen Hauptaufgabe der Länder und Kommunen. Weit über 90% der in Österreich, der Schweiz und in Deutschland vorhandenen Brücken sind Massivbrücken.Mit dem vorliegenden Buch wird anhand ausgeführter, innovativer Bauvorhaben die beachtliche Entwicklung moderner Instandsetzungsmöglichkeiten im Massivbrückenbau aus baupraktischer Sicht dargestellt. Damit soll beigetragen werden, Übersichtswissen zu aktualisieren, den beteiligten Spezialisten Entscheidungsspielräume zu verdeutlichen, durch richtige Fragestellungen solide Erhaltungsmaßnahmen zu fördern und voreilige Abbruchentscheidungen zu verhindern.

With the time now ripe for moving beyond the old paradigm of the traditional Probabilistic Seismic Hazard Analysis (PSHA), this book advocates more advanced methods for SHA that utilize up-to-date earthquake science as well as central scientific principles.

The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland.

In the 1680s Isaac Newton wrote the Philosophiae Naturalis Principia Mathematica. At the same time he was also working on a recreation of the plan of Solomon's Temple. In an unpublished manuscript entitled Introduction to the Lexicon of the Prophets, Part two: About the appearance of the Jewish Temple, or more commonly known by its call name Babson MS 0424, he described the architecture of the Temple. His main source for his recreation was the Book of Ezekiel, but he also used and compared it with a wide selection of Jewish, Classical, and contemporary sources, and he demonstrated a good knowledge and understanding of Vitruvius in his search for the truth of Solomon's Temple. The aim of this book is three-fold. First it contains a translation of Babson MS; this is the first translation of this manuscript into English. This manuscript contains two reconstructions of the Temple. Both are working documents that attempt to reconstruct the plan of the Temple using the text of Ezekiel which is supported with a mixture of classical and contemporary sources. The first reconstruction is illustrated. One particular image is of the Temple precinct and it is annotated with letters to match the description in the first reconstruction. This is a well known image and is often reproduced as the plan of Newton's Temple. Although the first description lays out the ground plan it only gives a few details of the uprights and cannot be fully reconstructed. However the second reconstruction is a great deal more detailed in its description and it reveals changes to the first reconstruction in its ground plan - it also gives enough description to be full reconstruction. Second, the book provides a commentary to accompany the translation which puts Babson Ms 0434 into context with Newton's other works on science, chronology, prophecy and theology. Although Babson Ms 0434 is a architecture work, Newton also discusses the Temple and its rituals in many of his unpublished papers in its religious context. He conceived the Principia as the exoteric knowledge of nature while the prophets held the esoteric knowledge of nature. The prophets could only be interpreted through hieroglyphs understood through the framework of the architecture and rituals of Solomon's Temple. The Temple was also important to his works on chronology After his death Chronology of Ancient Kingdoms Amended was published in 1728; this contains a small description of Solomon's Temple of barely 3000 words with detailed three drawings, this detail is not reflected in his description. These topics are discussed in detail. Third, the book contains a reconstruction of Newton's plan of the Temple. The three reconstructions, the two in Babson Ms 0434 and the one in Chronology are discussed and compared. The first reconstruction in Babson Ms 0434 and in Chronology are only ground plans and cannot be reconstructed in a three-dimensional model. However, the second reconstruction is a full description of the ground plan and the uprights. The book creates a reconstruct of Newton's verbal description of the Temple using ArchiCad. This reconstruction brings Newton's plan of the Temple alive. This reconstruction is contained within the sample chapter at the end of this proposal.

In this book the author presents a comprehensive study of Diophantos' monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing. Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined. Of Arithmetika's 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations. In the second part, the author draws our attention to the survival of Diophantos' work in both Arab and European mathematical cultures. Once Xylander's critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Vite. It reached its pinnacle of fame in 1621 with the publication of Bachet's translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous "e;Last Theorem"e;, were the starting point of a whole new research subject: the theory of numbers.

This book systematically studies the asymptotic behavior, in particular "stability" in some sense, for discrete and continuous linear dynamical systems on Banach spaces. Of special concern is convergence to an equilibrium regarding various topologies.

This text is based on lectures Couturat gave at the University Caen. It is an outstanding document of the popularization and propagation of symbolic logic around 1900, and it is the only manuscript mentioned in his correspondence that has been rediscovered.

This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book Fractals and Spectra. It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated. - - - The book under review can be regarded as a continuation of [his book on "e;Fractals and spectra"e;, 1997] (...) There are many sections named: comments, preparations, motivations, discussions and so on. These parts of the book seem to be very interesting and valuable. They help the reader to deal with the main course. (Mathematical Reviews)

Schroedinger Equations and Diffusion Theory addresses the question "What is the Schroedinger equation?" in terms of diffusion processes, and shows that the Schroedinger equation and diffusion equations in duality are equivalent.

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009.

The goal of the book is to present, in a complete and comprehensive way, a few areas of mathematics interlacing around the Poncelet porism: dynamics of integrable billiards, algebraicgeometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. Most important results and ideas connected to Poncelet theorem are presented: classical as well as modern ones, together with historical overview with analysis of classical ideas, their natural generalizations, and natural generalizations. Special attention is payed to realization of the Griffiths and Harris programme about Poncelet-type problems and addition theorems. This programme, formulated three decades ago, is aimedto understanding of higher-dimensional analogues of Poncelet problems and realization of synthetic approach of higher genus addition theorems. This problem is realized in a sequence of papers of the authors, published in last 20 years. Some of those results represent the key contribution to the development of the theory, while this book gives the complete image.

Medical research involving human subjects has contributed to considerable advancements in our knowledge, and to medical benefits. This book gathers the contributions of researchers from nine different countries, who analyse recent developments in medical research from ethical, historical, legal and socio-cultural perspectives.

This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer's research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory.

The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. Moreover, these differential systems are symmetric with respect to the origin of coordinates. This class of systems driven by concrete applications is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is very appropriate for a first course in the qualitative theory of differential equations or dynamical systems, mainly for engineers, mathematicians, and physicists.

This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincare, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going into higher dimensions, there is a dichotomy: Should we look at conformal automorphisms of the n-sphere?, or should we look at holomorphic automorphisms of higher dimensional complex projective spaces? These two theories are different in higher dimensions. In the first case we are talking about groups of isometries of real hyperbolic spaces, an area of mathematics with a long-standing tradition. In the second case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds.

An asymmetric norm is a positive definite sublinear functional p on a real vector space X. The topology generated by the asymmetric norm p is translation invariant so that the addition is continuous, but the asymmetry of the norm implies that the multiplication by scalars is continuous only when restricted to non-negative entries in the first argument. The asymmetric dual of X, meaning the set of all real-valued upper semi-continuous linear functionals on X, is merely a convex cone in the vector space of all linear functionals on X. In spite of these differences, many results from classical functional analysis have their counterparts in the asymmetric case, by taking care of the interplay between the asymmetric norm p and its conjugate. Among the positive results one can mention: Hahn-Banach type theorems and separation results for convex sets, Krein-Milman type theorems, analogs of the fundamental principles - open mapping, closed graph and uniform boundedness theorems - an analog of the Schauder's theorem on the compactness of the conjugate mapping. Applications are given to best approximation problems and, as relevant examples, one considers normed lattices equipped with asymmetric norms and spaces of semi-Lipschitz functions on quasi-metric spaces. Since the basic topological tools come from quasi-metric spaces and quasi-uniform spaces, the first chapter of the book contains a detailed presentation of some basic results from the theory of these spaces. The focus is on results which are most used in functional analysis - completeness, compactness and Baire category - which drastically differ from those in metric or uniform spaces. The book is fairly self-contained, the prerequisites being the acquaintance with the basic results in topology and functional analysis, so it may be used for an introduction to the subject. Since new results, in the focus of current research, are also included, researchers in the area can use it as a reference text.

In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderon-Zygmund decomposition. These new Calderon-Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderon-Zygmund singular integral operators.The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderon-Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.

This topical issue of the Journal of Pure and Applied Geophysics focuses on research related to dew and various types of fog occurring around the globe which was presented on July 25-30, 2010, at the 5th International Conference on Fog, Fog Collection, and Dew in Munster, Germany.

Temporal variation of deformation and gravity fields recorded by geodetic measuring techniques (either from ground surface or space) and reflecting isostatic, tectonic or volcanic processes in the earth's interior as well as hydrologic, oceanographic or climatic processes, have made a basic tool for research and monitoring.

Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. The book gives an overview of a variety of ongoing current research in the field and, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area.

Mielnik's geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator.

This volume highlights the mechanisms leading to immune privilege in tissues and organs, the deviation of immune responses and the modification of the behavior of the immune cells that manage to cross the blood barriers of tissues, in the context of infection.