Bücher veröffentlicht von Springer Basel

Die allgemeine Relativitästheorie lässt sich nur mit Hilfe des Tensorkalküls formulieren. Diesen lernte Einstein 1912 in Form des absoluten Differentialkalküls kennen. Dessen Schöpfer war Gregorio Ricci, dem zusammen mit Sophus Lie und anderen der Ausbau der Theorie der Differentialinvarianten gelang. Der absolute Differentialkalkül passte zur allgemeinen Relativitätstheorie wie ein Schlüssel zum Schloss: der in den Jahren 1884-92 von Ricci entwickelte Kalkül erfüllte in der Tat genau das physikalische Konzept der allgemeinen Relativitätstheorie, das Einstein 1907-15 ausarbeitete. Ein derartiges Zusammenpassen war nur dadurch möglich, weil sowohl Ricci innerhalb der Mathematik als auch Einstein innerhalb der Physik vergleichbare Fragen stellten, nämlich Fragen nach Invarianten bei speziellen Transformationen. Es wird versucht, den historischen Weg so genau wie möglich anhand der Quellen nachzuzeichnen. Neu ist die Herausarbeitung des invariantentheoretischen Aspekts, dem gegenüber die Bedeutung der Differentialgeometrie für die Entwicklung des Tensorkalküls in den Hintergrund treten muss.

Intended for both researchers and practitioners, this book will be a valuable resource for studying and applying recent robust statistical methods. It contains up-to-date research results in the theory of robust statisticsTreats computational aspects and algorithms and shows interesting and new applications.

The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available.

Important clinical issues as the outcome of long term treatment with antidepressants, the time of onset of the antidepressant response and the limitations of the antidepressants currently available are covered in this monograph.

In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions. Our approach is based on the investigation of the operators given by the left-hand side of equa­ tion (1). In what follows such operators will be called functional operators. We will pay special attention to the spectral properties of functional operators, first of all, to invertibility and the Noether property. Since the set X, the space F(X), the mappings Qk and the coefficients ak are arbitrary, the class of operators of the form (1) is very rich and some of its individ­ ual representatives are related with problems arising in various areas of mathemat­ ics and its applications. In addition to the classical theory of functional equations, among such areas one can indicate the theory of functional-differential equations with deviating argument, the theory of nonlocal problems for partial differential equations, the theory of boundary value problems for the equation of a vibrating string and equations of mixed type, a number of problems of the general theory of operator algebras and the theory of dynamical systems, the spectral theory of au­ tomorphisms of Banach algebras, and other problems.

This book presents the proceedings of a conference on dynamical systems held in honor of Jürgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews of the current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation- Geometric mechanics and control theory- Invariant manifolds, attractors and chaos- Fluid mechanics and elasticity- Perturbations and multiscale problems- Hamiltonian dynamics and KAM theoryResearchers and graduate students in dynamical systems and related fields, including engineering, will benefit from the articles presented in this volume.

Tamoxifen is a pioneering medicine for the treatment and prevention of breast cancer. It is the first drug targeted therapy in cancer to be successful. Tamoxifen targets the tumor estrogen receptor. The therapy is known to have saved the lives of millions of women over the past 40 years.This monograph, written by V. Craig Jordan - known as the "e;father of tamoxifen"e; - and his Tamoxifen Team at the Georgetown University Washington DC, illustrates the journey of this milestone in medicine. It includes a personal interview with V. Craig Jordan about his four decades of discovery in breast cancer research and treatment. V. Craig Jordan was there for the birth of tamoxifen as he is credited for reinventing a "e;failed morning after contraceptive"e; to become the "e;gold standard"e; for the treatment of breast cancer. He contributed to every aspect of tamoxifen application in therapeutics and all aspects of tamoxifen's pharmacology. He discovered the selective estrogen receptor modulators (SERMs) and explored the new biology of estrogen-induced apoptosis.

The essential question that fractal dimensions attempt to answer is about the scales in Nature. For a system as non-idealistic and complex as a protein, studying scale-invariance becomes particularly important.Fractal Symmetry of Protein Exterior investigates the diverse facets of the various scales at which we describe protein biophysical and biochemical phenomena. Although these ideas are entirely mathematical, mathematical expositions have been avoided, unless the use of some expressions becomes absolutely obligatory. A first chapter introduce into fractal dimensions, protein exteriors and to methods to study the roughness of surfaces. The main topics covered in the following chapters include: protein-protein interaction interfaces; protein surface-roughness and local shape as well as adhesion on protein and other rough biomolecular surfaces.

The essential question that fractal dimensions attempt to answer is about the scales in Nature. For a system as non-idealistic and complex as a protein, studying scale-invariance becomes particularly important.Fractal Symmetry of Protein Interior investigates the diverse facets of the various scales at which we describe protein biophysical and biochemical phenomena. Following a thorough introduction to fractal dimensions, fractal-dimension-based approaches, that have been employed to study protein interior biophysical properties, are described. The focus is on the question "e;which scales are scale-invariant?"e; Investigations related to scaling of biophysical and biochemical behaviors may one day help us to formulate a fundamental theory about protein biophysics; which, in turn, may help us to understand fundamental principles of proteins.

Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations.

The following five chapters concentrate on proteins, their structure, folding and function, the electrochemistry of redox proteins and voltammetric methods.

The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied.

This Lecture Notes volume is the fruit of two research-level summer schools jointly organized by the GTEM node at Lille University and the team of Galatasaray University (Istanbul): "Geometry and Arithmetic of Moduli Spaces of Coverings (2008)" and "Geometry and Arithmetic around Galois Theory (2009)".

In this volume outstanding specialists review the state of the art in nervous system research for all main invertebrate groups. Novel techniques in molecular and developmental biology are creating new perspectives that point toward a theoretical foundation for a modern organismic biology.

gar discusses recent studies of the SF gene promoter that may be relevant to understanding the detailed molecular mechanism(s) by which soluble factors regulate SF production. Polverini and Nickoloff discuss another mechanism by which SF may enhance tumor growth, ie., stimulation of angiogenesis, the formation of new blood vessels from pre-existing microvessels. Angiogenesis is required for continued growth of most solid tumors, and provides a mechanism by which the stroma may continue to grow along with the tumor cells. Although endothelial cells are stromal cells, they express a number of epithelial characteristics including (i) epithelial-like tight junctions and junctional proteins; (ii) the ability to organize into flat­ tened tubular structures; (iii) the c-met receptor protein; and (iv) biologic responsiveness to SF. It is, perhaps, not surprising that vascular endothe­ lial cells may both produce and respond to SF in different situations. 'Epithelialness' may be defined in two ways: (i) expression of generic epithelial structures and proteins (eg., specialized junctions, junctional proteins [eg., cadherins, ZOl], cytokeratins); and (ii) production of specific differentiated products (eg., milk proteins by mammary epithelia, renin by renal tubular epithelia of the juxtaglomerular apparatus). Recent studies suggest that SF Ic-met signalling may mediate epithelia­ mesenchyme interconversion, in part by modifying some of the generic epithelial characteristics. Nusrat discusses the effects of SF on the epithelial junctional apparatus. Relatively little is known about whether and how SF regulates cell-specific differentiation.

This book is based on two keywords: Bioradical and ESR. Research on the structure and function of bioradicals has been attrac ting growing attention in the field of biological science, and comprehensive investigations from many fields are helping to understand the real features of these species.

17 2 STRESS FIELDS FOR SIMPLE STRUCTURES 2. the plane stress condition with no variation of stress over the thickness of the element) or they are subdivided into several plates. 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.

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.

Building on the existing titles in the "Airways Smooth Muscle" sub-series, the sixth volume explores physiological and pharmacological processes in the lung in vivo.

thrombospondin-l may be encoded by a tumor suppressor gene. Dr. O'Reilly discusses angiostatin, an exciting recently discovered factor derived from the fibrinolytic proenzyme plasminogen that inhibits tumor angiogenesis, primary tumor growth, and formation of metastases. In addition to the soluble class of angiogenesis-regulatory factors discussed above, interactions of endothelial cells with components of the extracellular matrix and with other cell types are critical for proper formation of vessels. Drs. Grant and Kleinman discuss the role of laminin and other matrix molecules in regulation of capillary formation. Dr. van Hinsbergh and colleagues describe the role of fibrin and the fibrinolytic system in angiogenesis associated with wound repair. Cell surface mole­ cules that interact with the extracellular matrix have been implicated in the regulation of angiogenesis. Dr. Varner discusses some exciting new studies on the roles of specific vascular cell integrins (a /33 and a /3s) in mediating v v tumor angiogenesis and angiogenesis associated with wound healing. The pericyte, a vascular smooth muscle-like cell, exerts a powerful regulatory effect during the later stages of angiogenesis in which mature capillaries are formed. These mechanisms are discussed by Drs. Hirschi and D' Amore. With all the recent progress in the molecular biology of angiogenesis, the contribution of microenvironmental conditions such as hypoxia and pH to angiogenesis is often ignored. Drs. Rockwell and Knisely review this area of investigation and present studies of experimental tumor models.

Volume 46 of "Progress in Drug Research" contains seven reviews and the various indexes which facilitate its use and establish the connection with the previous volumes. The articles in this volume deal with endo­ genous sodium pump inhibition, with neurotransmitters involved in the central regulation of the cardiovascular system, with leukotrienes and development of novel anti-inflammatory agents, with antithrombotic stra­ tegies and drugs affecting the plasma fibrinogen levels, with natural ami­ noglycosides and polyamines and their effects in the mammalian orga­ nism, with the latest developments in antidepressant agents and with immunopharmacological and biochemical bases of Chinese herbal medi­ cine. These reviews provide valuable information on several new deve­ lopments in the complex domain of drug research. In the 37 years that PDR has existed, the Editor has enjoyed the valua­ ble help and advice of many colleagues. Readers, the authors of the reviews and, last but not least, the reviewers have all contributed greatly to the success of this series of monographs. Although the comments received so far have generally been favorable, it is nevertheless necessary to analyze and to reassess the current position and the future direction of such publi­ cations.

Highlighting the current developments and future directions in GABA research, the ambitious aim of this topical volume is to cover GABA from the molecular mechanisms of its transmission to new targets for pharmaceutical research. Distinguished scientists at the forefront of GABA research were invited to contribute reviews on glutamate decarboxylase and autoimmunity, molecular structure and functional regulation of GABA transporters, transmitter release and GABA receptor regulation, GABA receptor subtypes and functional regulation, and GABA receptor ligands and their therapeutic application. Describing the latest advances in what has become a rapidly-evolving field, this volume will prove immensely valuable to neuroscientists, pharmacologists, biochemists, and physiologists working in the field of GABA research.

Periodic differential operators have a rich mathematical theory as well as important physical applications. They have been the subject of intensive development for over a century and remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.

Biological O2 sensing probes and measurement techniques were first introduced in the late 80s. In the last 3-5 years they have undergone major development that have made them available and affordable for a broad range of applications in various disciplines of the life and biomedical sciences. These new chemistries and technologies, which are significantly different from the majority of other fluorescence-based probes and detection techniques, have already demonstrated their high utility. This book will provide a systematic overview of the existing and emerging O2 sensing technologies in their different modifications, a practical guide to their rational selection and use, and examples of biological applications/case studies, including details on how to set up and conduct such experiments, troubleshoot and interpret the data.

Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few.

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook. The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems. ------The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (...) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world.(Mathematical Reviews)

This volume comprises the proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, Sweden, April 26-29, 2011.

Galileo Galilei said he was "e;reading the book of nature"e; as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply "e;looking at numbers."e; Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while "e;looking at numbers"e; can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski.

The Indian National. Science Academy has planned to bring out monographs on special topics with the aim of providing acce~sible surveys/reviews of topics of current research in various fields. Prof. S. K. Malik, FNA, Editor of Publications INSA asked me in October 1997 to edit a volume on algebra in this series. I invited a number of algebraists, several of them working in group rings, and it is with great satisfaction and sincere thanks to the authors that I present here in Algebra: Some Recent Advances the sixteen contributions received in response to my invitations. I. B. S. Passi On Abelian Difference Sets K. r Arasu* and Surinder K. Sehgal 1. Introduction We review some existence and nonexistence results - new and old - on abelian difference sets. Recent surveys on difference sets can be found in Arasu (1990), Jungnickel (1992a, b), Pott (1995), Jungnickel and Schmidt (1997), and Davis and Jedwab (1996). Standard references for difference sets are Baumert (1971), Beth et al. (1998), and Lander (1983). This article presents a flavour of the subject, by discussing some selected topics. Difference sets are very important in combinatorial design theory and in commu­ nication engineering while designing sequences with good correlation properties. Our extended bibliography covers a wide variety of papers written in the area of difference sets and related topics.