birkhäuser birkhäuser nov 2012 (281 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -Der Erhaltung vorhandener Bausubstanz und ihre Anpassung an neue Bedürfnisse kommt heute eine steigende Bedeutung zu. Das gilt auch für Tragkonstruktionen. Während Tragwerke in Stahl von vornherein anpassungfähiger sind, mussten entsprechende Möglichkeiten bei Betontragwerken erst geschaffen und entwickelt werden. Das nachträgliche Anbringen äußerer Bewehrung ist ein solches Verfahren. Mit diesem Verfahren ist es möglich, Mängel an bestehenden Konstruktionen zu beheben oder ihre Tragsicherheit und Gebrauchstauglichkeit neuen Einwirkungen - wie erhöhter Nutzlast oder veränderter Art der Beanspruchung - anzupassen.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 180 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Die Bauwerksvermessung bildet die Grundlage für jede gründliche Bestandserfassung eines Gebäudes, seiner konstruktiven Zusammenhänge, des Bauzustandes und zu planende Baumaßnahmen. Sie erfasst das Bauwerk in seiner komplexen Form in einer angemessenen Detaillierung und bei Bedarf auch verformungsgetreu. Sie ist ein wesentlicher Bestandteil der Bauaufnahme im Rahmen von Sanierung, Modernisierung bzw. Umnutzung eines Gebäudes, aber auch bei Bauuntersuchungen für wissenschaftliche Zwecke der Haus- und Bauforschung und bei denkmalpflegerischen Maßnahmen.Die Bauwerksvermessung vereint methodisch das Handaufmaß mit Geodäsie, Photogrammetrie und Laserscanning. Der Autor bietet einen umfassenden Überblick und Anwenderwissen zum Thema Bauwerksvermessung. Die grundlegenden Verfahren Handaufmaß, Geodäsie, Photogrammetrie und Laserscanning bilden neben dem Management von Messprodukten an Bauwerken den Schwerpunkt des Buches. Das Buch ist ebenso geeignet als Nachschlagewerk über die derzeit aktuellen Verfahren und Methoden.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 336 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Die nach Inhalt, Methode und sozialer Relevanz durchgreifenden Umwälzungen in Mathematik, Astronomie, Physik, Chemie, Biologie und Geographie sowie in Naturphilosophie und wissenschaftlichen Organisationsformen während des 16./17. und des beginnenden 18. Jahrhunderts werden in der Historiographie der Wissenschaften mit dem Sammelbegriff Wissenschaftliche Revolution schlechthin bezeichnet. Der Autor beschreibt in seinem Buch markante Höhepunkte jenes Prozesses, auf denen ganz wesentlich unsere heutige Wissenschaft gegründet ist. Um die geistigen Wendungen und die Persönlichkeiten hervortreten zu lassen, wurde großer Wert auf authentische Äußerungen jener Wissenschaftler gelegt.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 236 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Eigenschaften von Singularitäten . . . . . . . . . . . . . . . . . . 49 4. 1 Der Umgebungsrand . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 4. 2 Gute Repräsentanten von Abbildungskeimen . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 4. 3 Monodromie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 4. 4 Die Monodromie einer quadratischen Singularität (lokaler Fall) . . . . . . . . . . 65 5 Die U ntersuchung von Milnorfasern . . . . . . . . . . . . . . . . . ¿. . . ¿. . ¿¿. ¿ ¿. . . . . . . 73 5. 1 Milnorfasem von ebenen Kurvensingularitäten . . . . . . ¿. . ¿. . . ¿. . ¿. . . . . . . . . 73 5. 2 Milnorfasem von Hyperfiä. chensingularitäten . . . . . . . . . . . . . . ¿. . ¿. . . . . . . . . . 81 6 Die Beec r hnung d er M o n oro d mie . . . . . . . . . . . . . . . . . . . ¿. . . . . . ¿. . ¿ . . . . . . . . . 87 6. 1 Die Morsifikation . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ¿. . . . . . . 87 6. 2 Die Monodromie der ebenen Kurvensingularitäten in Cl. . . . . . . . . . 88 6. 3 Dynkin-Dia. gramm und Monodromiegruppe . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 6. 4 Die Monodromie beim Addieren von FUnktionskeimen . . . . . . . . . . . . .Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 152 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Ideal reference work for advanced students and practitioners in wavelets, and wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 468 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This volume offers a selection of the best contributions by Russianscholars--historians and philosophers of science--to the EinsteinStudies industry, broadly construed. Most of the papers included herewere first published in Russian in the 'Einshteinovskiy Sbornik'series (Einstein Studies), the first of its kind, and initiated in1966 by Nobel Prize winner Igor Tamm. From 1966-1990, fourteen volumesof the 'Sbornik' were published by Nauka, the chief academic publisherin the former Soviet Union.The book explores such topics as the historical and foundationalissues in general relativity and relativistic cosmology, Einstein'scontributions to quantum theory of radiation, and the rise of Dirac'squantum electrodynamics. The volume also includes a detaileddescription of the physics colloquium Einstein established andcoordinated in 1912-1914 in Zurich.The contributors draw extensively on documentation previouslyunavailable to most scholars. Thus the materials from various Russianarchives shed new light on the famous exchange (regarding the firstevolutionary cosmological models) between Einstein and AleksandrFriedmann in the early 1920s and on the role of Boris Podolsky andVladimir Fock in the emergence of quantum electrodynamics. The littleknown correspondence between Einstein and a famous German pilot PaulEhrhardt suggests that, during World War I, Einstein was involved withaero- and hydrodynamics and thought about ways of improving airfoildesign. Other articles discuss new approaches to important questionsin the foundations of general relativity and cosmology.Historians, philosophers, and sociologists of science should beprepared to find much new and unexpected material in this engagingvolume presenting the best of the recent Russian scholarship in thefield. The book will be accessible to the general reader as well.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 336 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This book contains the refereed papers which were presented at the interna tional conference on 'Multivariate Approximation and Splines' held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 340 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -to Deep Earth Electrical Conductivity.- Electromagnetic induction in the earth due to stationary and moving sources.- The new approach to global deep sounding.- The effect of the oceans and sedimentary cover on global magnetovariational field distribution.- The magnetospheric disturbance ring current as a source for probing the deep earth electrical conductivity.- The conductosphere depth at equatorial latitudes as determined from geomagnetic daily variations.- A deep geophysical study in the Baikal region.- A new telluric KCl probe using Filloux¿s AgAgCl electrode.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 100 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -The development of time scales is still in its infancy, yet as inroads are made, interest is gathering steam. Of a great deal of interest are methods being intro duced for dynamic equations on time scales, which now explain some discrepancies that have been encountered when results for differential equations and their dis crete counterparts have been independently considered. The explanations of these seeming discrepancies are incidentally producing unifying results via time scales methods. The study of dynamic equations on time scales is a fairly new subject, and research in this area is rapidly growing. It has been created in order to unify continuous and discrete analysis, and it allows a simultaneous treatment of dif ferential and difference equations, extending those theories to so-called dynamic equations. An introduction to this subject is given in Dynamic Equations on Time Scales: An Introduction with Applications (MARTIN BOHNER and ALLAN PETER SON, Birkhauser, 2001 [86]). The current book is designed to supplement this introduction and to offer access to the vast literature that has already emerged in this field. It consists of ten chapters, written by an international team of 21 experts in their areas, thus providing an overview of the recent advances in the theory on time scales. We want to emphasize here that this book is not just a collection of papers by different authors.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 364 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -xiv aggregates: this touches on the very nature of things. The concept of statistical symmetry which Loeb develops is particularly important, it emphasizes the limitations in seemingly random aggregates and for permits general statements of which the crystallographer's sym metries are only special cases. The reductionist and holistic approaches to the world have been at war with each other since the times of the Greek philosophers and before. In nature, parts clearly do fit together into real structures, and the parts are affected by their environment. The problem is one of understanding. The mystery that remains lies largely in the nature of structural hierarchy, for the human mind can examine nature on many different scales sequentially but not simultaneously. Arthur Loeb's monograph is a fundamental one, but one can sense a devel opment from the relations between his zero-and three-dimensional cells to the far more complex world of organisms and concepts. It is structure that makes the difference between a cornfield and a cake, between an aggregate of cells and a human being, between a random group of human beings and a society. We can perceive anything only when we perceive its structure, and we think by structural analogy and comparison. Several books have been published showing the beauty of form in nature. This one has the beauty of a work of art, but it grows out of rigorous mathematics and from the simplest of bases-dimensional ity, extent and valency.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 212 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This book is primarily a research monograph that presents in a unified man ner some recent research on a class of hybrid dynamical systems (HDS). The book is intended both for researchers and advanced postgraduate stu dents working in the areas of control engineering, theoretical computer science, or applied mathematics and with an interest in the emerging field of hybrid dynamical systems. The book assumes competence in the basic mathematical techniques of modern control theory. The material presented in this book derives from a period of fruitful research collaboration between the authors that began in 1994 and is still ongoing. Some of the material contained herein has appeared as isolated results in journal papers and conference proceedings. This work presents this material in an integrated and coherent manner and also presents many new results. Much of the material arose from joint work with students and colleagues, and the authors wish to acknowledge the major contributions made by Ian Petersen, Efstratios Skafidas, Valery Ugrinovskii, David Cook, Iven Mareels, and Bill Moran. There is currently no precise definition of a hybrid dynamical system; however, in broad terms it is a dynamical system that involves a mixture of discrete-valued and continuous-valued variables. Since the early 1990s, a bewildering array of results have appeared under the umbrella of HDS, ranging from the analysis of elementary on-off control systems to sophis ticated mathematical logic-based descriptions of large real-time software systems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 168 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This volume contains a selection of invited papers, presented to the fourth In Statistical Analysis Based on the L1-Norm and Related ternational Conference on Methods, held in Neuchatel, Switzerland, from August 4-9, 2002. Organized jointly by the University of Illinois at Chicago (Gib Bassett), the Rutgers University (Regina Liu and Yehuda Vardi) and the University of Neuchatel (Yadolah Dodge), the conference brought together experts whose research deals with theory and ap plications involving the L1-Norm. The conference included invited and contributed talks as well as a tutorial on Quantile Regression. This volume includes 36 refereed invited papers under seven headings. Part one deals with Quantiles in all their forms and shapes. It includes papers on quantile functions in non-parametric multivariate analysis, and empirical applications of quantile regression. Much of the development in this direction follows from the fundamental paper by Koenker and Bassett in 1978. Financial and Time Series A nalysis follows the section on quantiles. Part three concerns Estimation, Testing and Characterization. Part four, Deep in the Data, deals with issues related to data depth. Part five addresses Classification questions. The problem of Density Estimation and Image Processing is discussed in Part six, and finally Part seven presents two environmental applications. The contributions represent clear evidence of important research involving theo retical issues and applications associated with the L1-Norm. It is my hope that the articles contained in this volume and its predecessors, published in 1987, 1992, and 1997, will stimulate interest among researchers.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 472 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -mapping ofmultiply connected regions suffers from severe limitations, one of which is the fact that equal connectivity ofregions is not a sufficient condition to effect a reciprocally connected map ofone region onto another.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 484 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization.The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 148 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -For more than two thousand years some familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today the traditional place of mathematics in education is in grave danger. Unfortunately, professional representatives of mathematics share in the reponsibiIity. The teaching of mathematics has sometimes degen erated into empty drill in problem solving, which may develop formal ability but does not lead to real understanding or to greater intellectual indepen dence. Mathematical research has shown a tendency toward overspecialization and over-emphasis on abstraction. Applications and connections with other fields have been neglected . . . But . . . understanding of mathematics cannot be transmitted by painless entertainment any more than education in music can be brought by the most brilliant journalism to those who never have lis tened intensively. Actual contact with the content of living mathematics is necessary. Nevertheless technicalities and detours should be avoided, and the presentation of mathematics should be just as free from emphasis on routine as from forbidding dogmatism which refuses to disclose motive or goal and which is an unfair obstacle to honest effort. (From the preface to the first edition of What is Mathematics by Richard Courant and Herbert Robbins, 1941.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 372 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -In this presentation of the Galois correspondence, modern theories of groups and fields are used to study problems, some of which date back to the ancient Greeks. The techniques used to solve these problems, rather than the solutions themselves, are of primary importance. The ancient Greeks were concerned with constructibility problems. For example, they tried to determine if it was possible, using straightedge and compass alone, to perform any of the following tasks (1) Double an arbitrary cube; in particular, construct a cube with volume twice that of the unit cube. (2) Trisect an arbitrary angle. (3) Square an arbitrary circle; in particular, construct a square with area 1r. (4) Construct a regular polygon with n sides for n > 2. If we define a real number c to be constructible if, and only if, the point (c, 0) can be constructed starting with the points (0,0) and (1,0), then we may show that the set of constructible numbers is a subfield of the field R of real numbers containing the field Q of rational numbers. Such a subfield is called an intermediate field of Rover Q. We may thus gain insight into the constructibility problems by studying intermediate fields of Rover Q. In chapter 4 we will show that (1) through (3) are not possible and we will determine necessary and sufficient conditions that the integer n must satisfy in order that a regular polygon with n sides be constructible.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 260 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Gerhard Gentzen (1909-1945) ist der Begründer der modernen mathematischen Beweistheorie. Die nachhaltige Bedeutung der von ihm entwickelten Methoden, Regeln und Strukturen zeigt sich heute in wichtigen Teilgebieten der Informatik, in der Verifikation von Programmen. Die Arbeiten Gentzens über das natürliche Schliessen, der Sequenzenkalkül und die Ordinal-Beweistheorie beeindrucken noch heute durch ihre Einsicht und Eleganz. Der Autor dokumentiert in dieser ersten umfassenden Biografie Leben und Werk Gerhard Gentzens, seinen tragischen Lebensweg, Festnahme 1945 in Prag, Gefangenschaft und Tod. Die Bedingungen wissenschaftlicher Forschung, in diesem Fall der mathematischen Logik, im nationalsozialistischen Deutschland, den ideologischen Kampf um eine 'Deutsche Logik' und deren Protagonisten ist ein weiterer Schwerpunkt des Buches. Zahlreiche, bislang unveröffentlichte Quellen, Fotos und Dokumente aus Korrespondenzen und Nachlass sowie der Abdruck dreier Vorträge von Gerhard Gentzen machen dieses Buch zu einer erstrangigen Informationsquelle über diesen bedeutenden Mathematiker und seine Zeit. Der Band wird ergänzt durch ein Essay von Jan von Plato über Gentzens Beweistheorie und deren Entwicklung bis zur Gegenwart.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 432 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Dirac operators play an important role in several domains ofmathematics and physics, for example: index theory, ellipticpseudodifferential operators, electromagnetism, particle physics, andthe representation theory of Lie groups.In this essentially self-contained work, the basic ideas underlyingthe concept of Dirac operators are explored. Starting with Cliffordalgebras and the fundamentals of differential geometry, the textfocuses on two main properties, namely, conformal invariance, whichdetermines the local behavior of the operator, and the uniquecontinuation property dominating its global behavior. Spin groups andspinor bundles are covered, as well as the relations with theirclassical counterparts, orthogonal groups and Clifford bundles.The chapters on Clifford algebras and the fundamentals ofdifferential geometry can be used as an introduction to the abovetopics, and are suitable for senior undergraduate and graduatestudents. The other chapters are also accessible at this level so thatthis text requires very little previous knowledge of the domainscovered. The reader will benefit, however, from some knowledge ofcomplex analysis, which gives the simplest example of a Diracoperator. More advanced readers---mathematical physicists, physicistsand mathematicians from diverse areas---will appreciate the freshapproach to the theory as well as the new results on boundary valuetheory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 228 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -These two volumes constitute texts for graduate courses in linear operator theory. The reader is assumed to have a knowledge of both complex analysis and the first elements of operator theory. The texts are intended to concisely present a variety of classes of linear operators, each with its own character, theory, techniques and tools. For each of the classes, various differential and integral operators motivate or illustrate the main results. Although each class is treated seperately and the first impression may be that of many different theories, interconnections appear frequently and unexpectedly. The result is a beautiful, unified and powerful theory. The classes we have chosen are representatives of the principal important classes of operators, and we believe that these illustrate the richness of operator theory, both in its theoretical developments and in its applicants. Because we wanted the books to be of reasonable size, we were selective in the classes we chose and restricted our attention to the main features of the corresponding theories. However, these theories have been updated and enhanced by new developments, many of which appear here for the first time in an operator-theory text. In the selection of the material the taste and interest of the authors played an important role.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 572 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware - InhaltsangabeA.- B.- C.- D.- E.- F.- G.- H.- I.- J.- K.- L.- M.- N.- O.- P.- Q.- R.- S.- T.- U.- V.- W.- XYZ.

Taschenbuch. Zustand: Neu. Neuware -Das Buch aus der Reihe Technik der Turboflugtriebwerke stellt die Gestaltung bzw. Projektierung von Turbostrahltriebwerken und Wellenleistungstriebwerken umfassend und praxisnah dar.Die Reihe enthält wissenschaftlich fundierte Gesamtdarstellungen des vorhandenen Fachwissens zur Berechnung, Konstruktion und zum Bau von Turboflugtriebwerken. Sie verbindet die wissenschaftlichen Grundlagen aus Maschinenbau, Elektrotechnik, Physik, Werkstoffwissenschaften, Regelungstechnik und allgemeinen Ingenieurwissenschaften mit den anwendungsbezogenen Erfordernissen des jeweiligen Spezialgebietes im Flugturbinenbau.Die Autoren der Reihe sind erfahrene Experten aus den Forschungs- und Entwicklungsabteilungen der Industrie.Die Reihe richtet sich an den Ingenieur in der Entwicklung, Bau oder Wartung von Flugtriebwerken sowie an den Studenten der Flugzeugtechnik.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 860 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -The aim of this monograph is quite modest: It attempts to be a systematic exposition of all that appeared in the literature and was known to us by the end of the 20th century about the Laplace distribution and its numerous generalizations and extensions. We have tried to cover both theoretical developments and applications. There were two main reasons for writing this book. The first was our conviction that the areas and situations where the Laplace distribution naturally occurs is so extensive that tracking the original sources is unfeasible. The second was our observation of the growing demand for statistical distributions having properties tangent to those exhibited by the Laplace laws. These two 'necessary' conditions justified our efforts that led to this book. Many details are arranged primarily for reference, such as inclusion of the most commonly used terminology and notation. In several cases, we have proposed unification to overcome the ambiguity of notions so often present in this area. Personal taste may have done some injustice to the subject matter by omitting or emphasizing certain topics due to space limitations. We trust that this feature does not constitute a serious drawback-in our literature search we tried to leave no stone unturned (we collected over 400 references).Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 372 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory.This text, which focuses on higher dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 308 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -An exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons. Most of the results are only available from recent journal publications, many of them are new.Thus, the book is a kind of encyclopedia on discrete integrable systems. It unifies the features of a research monograph and a handbook. It is supplied with an extensive bibliography and detailed bibliographic remarks at the end of each chapter. Largely self-contained, it will be accessible to graduate and post-graduate students as well as to researchers in the area of integrable dynamical systems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 1124 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware - 1. Historical Remarks Convex Integration theory, first introduced by M. Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. The other methods are: (i) Removal of Singularities, introduced by M. Gromov and Y. Eliashberg [8]; (ii) the covering homotopy method which, following M. Gromov's thesis [16], is also referred to as the method of sheaves. The covering homotopy method is due originally to S. Smale [36] who proved a crucial covering homotopy result in order to solve the classification problem for immersions of spheres in Euclidean space. These general methods are not linearly related in the sense that succes sive methods subsumed the previous methods. Each method has its own distinct foundation, based on an independent geometrical or analytical insight. Conse quently, each method has a range of applications to problems in topology that are best suited to its particular insight. For example, a distinguishing feature of Convex Integration theory is that it applies to solve closed relations in jet spaces, including certain general classes of underdetermined non-linear systems of par tial differential equations. As a case of interest, the Nash-Kuiper Cl-isometrie immersion theorem ean be reformulated and proved using Convex Integration theory (cf. Gromov [18]). No such results on closed relations in jet spaees can be proved by means of the other two methods.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 228 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear first order PDEs. A well-known classical result states a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on the method of characteristics (MC). Very often, and as a rule in control theory, the continuous nonsmooth (non-differentiable) functions have to be treated as a solutions to the PDE. At the points of smoothness such solutions satisfy the equation in classical sense. But if a function satisfies this condition only, with no requirements at the points of nonsmoothness, the PDE may have nonunique solutions. The uniqueness takes place if an appropriate matching principle for smooth solution branches defined in neighboring domains is applied or, in other words, the notion of generalized solution is considered. In each field an appropriate matching principle are used. In Optimal Control and Differential Games this principle is the optimality of the cost function. In physics and mechanics certain laws must be fulfilled for correct matching. A purely mathematical approach also can be used, when the generalized solution is introduced to obtain the existence and uniqueness of the solution, without being aimed to describe (to model) some particular physical phenomenon. Some formulations of the generalized solution may meet the modelling of a given phenomenon, the others may not.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 328 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 160 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Immunofluorescence, a suitable laboratory method for themicroscopic demonstration of antigens and antibodies in biologicalmaterials, useable, for example, to provide evidence for thepathogenesis of disease in histological or cytological preparations andfor tumour cell differentiation. For this reason immunofluorescence hasa decisive role as the method of choice for the diagnosis of auto-immunediseases. This primer on immunofluorescence techniques, which firstappeared in 1979, is a richly illustrated handbook suitable for everydaypractical work in the laboratory, useable as both an introduction to thesubject as well as an atlas. In hardly any other area of medicine arethere so many new findings to report. The second edition of this book isconcerned not only with the detection methods which now form anessential and established part of diagnostic techniques, but also withthe most recent research results such as the discovery of antibodiesagainst Auerbach's plexus and against podocytes.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 252 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -All models are lies. 'The Earth orbits the sun in an ellipse with the sun at one focus' is false, but accurate enough for almost all purposes. This book describes the current state of the art of telling useful lies about time-varying systems in the real world. Specifically, it is about trying to 'understand' (that is, tell useful lies about) dynamical systems directly from observa tions, either because they are too complex to model in the conventional way or because they are simply ill-understood. B(:cause it overlaps with conventional time-series analysis, building mod els of nonlinear dynamical systems directly from data has been seen by some observers as a somewhat ill-informed attempt to reinvent time-series analysis. The truth is distinctly less trivial. It is surely impossible, except in a few special cases, to re-create Newton's astonishing feat of writing a short equation that is an excellent description of real-world phenomena. Real systems are connected to the rest of the world; they are noisy, non stationary, and have high-dimensional dynamics; even when the dynamics contains lower-dimensional attractors there is almost never a coordinate system available in which these at tractors have a conventionally simple description.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 500 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This volume contains the papers that have been presented at the Conference on Modeling and Control of Uncertain Systems held in Sopron, Hungary on September 3-7, 1990, organised within the framework of the activities of the System and Decision Sciences Program of IIASA - the International Institute for Applied Systems Analysis. The importance of the subject has drawn the attention of researchers all over the world since several years. In fact, in most actual applications the knowledge about the system under investigation presents aspects of uncertainty due to measurement errors or poor understanding of the rele vant underlying mechanisms. For this reason models that take into account these intrinsic uncertainties have been used and techniques for the analysis of their behavior as well as for their estimation and control have been devel oped. The main ways to deal with uncertainty consist in its description by stochastic processes or in terms of set-valued dynamics and this volume col lects relevant contributions in both directions. However, in order to avoid undesirable distinctions between these approaches, but on the contrary to stress the unity of ideas, we decided to organize the papers according to the alphabetical order of their authors. We should like to take this opportunity to thank IIASA for supporting the Conference and the Hungarian National Member Organization for the kind hospitality in Sopron. Finally we would like to express our gratitude to Ms. Donna Huchthausen for her valuable secretarial assistance. Vienna, February 20, 1991 GIOVANNI B.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 484 pp. Englisch.