springer basel birkhäuser basel birkhäuser okt 2012 (208 results)

Taschenbuch. Condition: Neu. 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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 424 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -The discoveries of the past decade have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic map pings is very different from that of volume preserving mappings which raised new questions, many of them still unanswered. On the other hand, due to the analysis of an old variational principle in classical mechanics, global periodic phenomena in Hamiltonian systems have been established. As it turns out, these seemingly differ ent phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book which grew out of lectures given by the authors at Rutgers University, the RUB Bochum and at the ETH Zurich (1991) and also at the Borel Seminar in Bern 1992. Since the lectures did not require any previous knowledge, only a few and rather elementary topics were selected and proved in detail. Moreover, our se lection has been prompted by a single principle: the action principle of mechanics. The action functional for loops in the phase space, given by 1 Fh) = J pdq -J H(t, 'Y(t)) dt , 'Y 0 differs from the old Hamiltonian principle in the configuration space defined by a Lagrangian. The critical points of F are those loops 'Y which solve the Hamiltonian equations associated with the Hamiltonian H and hence are the periodic orbits.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 364 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -In der Bundesrepublik Deutschland überwachen die Behörden der Länder die Einhaltung der Vorschriften, die für das Inverkehrbringen und die Anwendung von Pflanzenschutzmitteln gelten. Das Pflanzenschutz-Kontrollprogramm ist ein bundesweit harmonisiertes Programm zur Überwachung pflanzenschutzrechtlicher Vorschriften. Die Durchführung und Berichterstattung der Kontrollen erfolgten nach gemeinsamen Standards der Länder auf Grundlage eines abgestimmten Handbuches. Die Festlegung von Kontrolltatbeständen und die Betriebsauswahl erfolgt durch die Länder; zusätzlich werden bundesweite Kontrollschwerpunkte festgelegt. Der vorliegende Bericht fasst die Ergebnisse des Jahres 2011 zusammen. Bundesweit wurden in 2.545 Handelsbetrieben Verkehrskontrollen durchgeführt und in 5.367 Betrieben der Landwirtschaft, des Gartenbaus und der Forstwirtschaft Betriebs- oder Anwendungskontrollen vorgenommen. Im Rahmen der Überwachung der Verordnung über Pflanzenschutzmittel und Pflanzenschutzgeräte (Pflanzenschutzmittelverordnung) wurden des Weiteren 70.063 Pflanzenschutzgeräte von amtlichen bzw. amtlich anerkannten Kontrollstellen überprüft. Die Zusammensetzung und physikalische, chemische und technische Eigenschaften von 197 Pflanzenschutzmitteln wurden untersucht.¿Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 44 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -Die fachgerechte Erbebensicherung von Bauwerken ist heute nicht mehr eine Frage der Erkenntnisse, sondern eine Frage der Ausbildung von Bauingenieuren und Architekten und somit der Umsetzung vorhandenen Wissens in die Praxis. Durch wenige gezielte Massnahmen konzeptioneller und konstruktiver Art sowie durch eine problemgerechte Berechnung und Bemessung kann das Schadenrisiko drastisch vermindert und ein hoher Schutzgrad gegen Einsturz erreicht werden. Das Buch ist auf die Bedürfnisse des praktisch tätigen Bauingenieurs ausgerichtet; mit seiner starken Gewichtung des erbebengerechten Entwurfs hilft es, konzeptionelle Fehler und Mängel zu vermeiden, da diese auch durch eine noch so ausgeklügelte ingenieurmässige Berechnung und Bemessung nicht kompensiert werden können. Das Buch gibt aber auch zahlreiche Hinweise zu aktuellen Forschungsthemen.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 316 pp. Deutsch.

Buch. Condition: Neu. Neuware -Die in Europa bis Ende der 1980er Jahre bestehende Grenze zwischen unterschiedlichen Gesellschaftssystemen, insbesondere die innerdeutsche Grenze, hat die individuellen Biografien von Bürgern vital beeinflusst. Auch die Wissenschaftler, u.a. die Mathematiker, waren weitaus mehr betroffen, als nach außen hin sichtbar war. Der Autor, der das Ende der Teilung in der Mitte seiner beruflichen Laufbahn in Berlin erlebte, schildert in autobiografischen Skizzen die Spezifik dieser Situation, anknüpfend an Inhalte der Ausbildung in der Schule und des Studiums im Osten Deutschlands, bis hin zu Innenansichten aus Institutionen wie dem Karl-Weierstrass-Institut der Akademie der Wissenschaften in Berlin, anschließend der Max-Planck-Arbeitsgruppe Partielle Differentialgleichungen und Komplexe Analysis, sowie dem Institut für Mathematik an der Universität Potsdam. Beleuchtet werden weiterhin die erlebten Sichten der Gesellschaftssysteme auf eine exakte Wissenschaft wie die Mathematik, die Organisation in Instituten, Haltungen zur Zweckbestimmung reiner und angewandter Forschung in der Mathematik, Aspekte der Wissenschaftsförderung, sowie individuelle und teilweise kontroverse Standpunkte. Da Probleme um die Mathematik, etwa ihre Triebkräfte, das Zusammenspiel ihrer Spezialgebiete und ihr Einfluss auf Naturwissenschaften, Technologie und viele Bereiche des täglichen Lebens nicht immer leicht verständlich gemacht werden können, ist in der Darstellung ein überwiegend unterhaltsamer und teilweise unkonventioneller Ton gewählt. Er soll auch die Tragik ein wenig vergessen machen, die mit Verlusten von Potentialen und wissenschaftlichen Entwicklungsmöglichkeiten in dem vergangenen System verbunden war.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 268 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -Der Autor informiert über die unterschiedlichen Bestimmungen in den Landesbauordnungen, Normen und Gesetzen sowie über die brandtechnischen Eigenschaften von Baustoffen und Bauteilen. Neben den Anforderungen für den Wohnungsbau werden auch die Bestimmungen für den Industrie- und Sonderbau sowie die Möglichkeiten und Probleme bei der Sanierung von Gebäuden behandelt.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 360 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -Biomolecular studies are the trial of Man to understand how Nature manages information at the molecular level. The understanding of molecular informa tion handling in nature is essential for the molecular optimization in chem istry, molecular biology, molecular pharmacology and therefore - as an ex ample - for the development of specifically acting drugs. The famous recent method of technical information management is digital electronics. Over the past few years, evidence has arisen that computerized and molecular information managements have many similar and overlapping aspects. For example, both technology and nature use digitized information and both use small structures for the efficient handling of information. Furthermore, they optimize their processes in order to gain a maximum of information with a minimum of invested energy. During the last two decades, novel experimental techniques in biomolec ular sciences have paved the way for artificial biomolecular optimization. In the same time interval, the progress of micro system technology has been extended from the field of digital electronics and sensing to micro liquid hand ling, and the field of chip-supported substance handling began. It appears that the 'marriage' of physical micro technology and molecular processing will be consummated soon. The contact of both fields has been realized in for ex ample DNA chips. Such connections will also become relevant in additional fields in the near future. Biomolecular investigations are the first to profit from these fast growing scientific and technical connections between micro systems and molecular sciences.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 608 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -In November 2001 the Mathematical Research Center at Oberwolfach, Germany, hosted the third Conference on Mathematical Models and Numerical Simulation in Electronic Industry. It brought together researchers in mathematics, electrical engineering and scientists working in industry.The contributions to this volume try to bridge the gap between basic and applied mathematics, research in electrical engineering and the needs of industry.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 380 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -This volume began as the last part of a one-term graduate course given at the Fields Institute for Research in the Mathematical Sciences in the Autumn of 1993. The course was one of four associated with the 1993-94 Fields Institute programme, which I helped to organise, entitled 'Artin L-functions'. Published as [132]' the final chapter of the course introduced a manner in which to construct class-group valued invariants from Galois actions on the algebraic K-groups, in dimensions two and three, of number rings. These invariants were inspired by the analogous Chin burg invariants of [34], which correspond to dimensions zero and one. The classical Chinburg invariants measure the Galois structure of classical objects such as units in rings of algebraic integers. However, at the 'Galois Module Structure' workshop in February 1994, discussions about my invariant (0,1 (L/ K, 3) in the notation of Chapter 5) after my lecture revealed that a number of other higher-dimensional co homological and motivic invariants of a similar nature were beginning to surface in the work of several authors. Encouraged by this trend and convinced that K-theory is the archetypical motivic cohomology theory, I gratefully took the opportunity of collaboration on computing and generalizing these K-theoretic invariants. These generalizations took several forms - local and global, for example - as I followed part of number theory and the prevalent trends in the 'Galois Module Structure' arithmetic geometry.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 324 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -Die Einsatzmöglichkeiten von Holz im Außenbereich sind vielfältig. Wesentliche Anwendungen sind Überdachungen von Freiräumen, Fassaden, Türme, Brücken, aber auch sogenannte kleine Holzbauwerke wie Balkone, Pergolen, Zäune und Palisaden. Dabei stellen Freibewitterung und zum Teil auch Erdkontakt hohe Belastungen für den Baustoff Holz dar. Die Schutzmöglichkeiten für das exponierte Holz und das Vermeiden von konstruktiven Fehlern und damit letztendlich von Schäden sind deshalb Schwerpunkte dieses Buches. Der Holzschutz wird hier im umfassenden Sinne gesehen: die Wahl der Holzart, die baukonstruktive Ausbildung, bei Erfordernis der chemische Schutz und eine schützende Oberflächenbehandlung. Bei der Einstufung der Bauteile in Gefährdungsklassen, bei der Einordnung der Holzarten nach ihrer Dauerhaftigkeit und der Erfordernis oder besser Nichterfordernis eines chemischen Schutzes werden die Euro-Normen zugrunde gelegt und damit das aktuelle und zukünftige Regelwerk. Für die Beurteilung des Brandverhaltens und des Brandschutzes von Außenbauteilen wird die neue Musterbauordnung herangezogen, die dem Holzbau neue Möglichkeiten eröffnet. Zahlreiche Anwendungsbeispiele werden durch Fotos und Skizzen erläutert.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 208 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -Euklid, der Geometer aus Alexandria, und sein uberwiegend geometrisches literarisches Werk bilden den Mittelpunkt dieses Buches zur Geschichte derMathematik. Es ist bis heute nicht mit letzter Sicherheit geklart, ob eseinen Mathematiker mit dem Namen Euklid wirklich gegeben, wann er gelebthat und ob die ihm zugeschriebenen Lehrbucher zur Mathematik und zurmathematischen Physik tatsachlich nur von ihm verfasst wurden. Trotz dieserEinschrankungen breitet der Autor das derzeit verfugbare Wissen uber dievoreuklidische griechische Mathematik, die Traditionslinien dereuklidischen Geometrie und die uber Jahrhunderte andauerndeWirkungsgeschichte der euklidischen Werke umfassend aus. Dabei wird anvielen Stellen deutlich, wie unzureichend unsere Kenntnisse uber dieRezeptionsgeschichte und wie luckenhaft das antike Quellenmaterial auch nach zweitausend Jahren immer noch sind. Das Buch spurt den vielfaltigenhistorischen und interkulturellen Aspekten und Facetten der Mathematiknach.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 276 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -eine Assistentenstelle bei GERHARD HARIG am bereits 1906 gegründeten Karl-Sudhoff-Institut für Geschichte der Medizin und Naturwissenschaften in Leipzig, die er anderen Angeboten (z. B. beim Flugzeugbau) vorzog. Nach dem Tode von Professor HARIG bekam HANS WUSSING 1967 (als einziger habilitierter Wissenschaftshistoriker in der DDR) eine Dozentur für Geschichte der Mathematik und der Naturwissenschaften und wurde zum kommissarischen Direktor des Sudhoff-Instituts eingesetzt. Ein Jahr später wurde er zum a. o. Professor für Geschichte der Mathematik und der Naturwissenschaften berufen, 1970 erfolgte die Ernennung zum ordent lichen Professor. Von 1977 bis 1982 war er Direktor des Sudhoff-Instituts und ist seit 1982 Leiter der Abteilung für Geschichte der Mathematik und der Naturwissenschaften. Die Reihe von WUSSINGs Publikationen ist lang. Eine Liste seiner Veröffentlichungen bis 1985 findet sich in der Zeitschrift NTM, Bd. 24 (1987), S. 1-5. Es ist hier nicht der Ort, all seine Arbeiten im einzelnen zu würdigen. Erwähnt seien nur die wichtigsten Buchpublikationen: 1962 erschien bei B. G. Teubner Leipzig die Mathematik in der Antike. WUSSING verfaßte Biographien von COPERNICUS, GAUSS, NEWTON und ADAM RIES. Auch seine neueste Publikation hat mit dem bekannten deutschen Rechenmeister zu tun: Die Goß von ADAM RIES konnte er trotz schwie rigster Umstände zusammen mit WOLFGANG KAUNZNER noch rechtzeitig im Jubiläumsjahr 1992 herausgeben. WUSSING ist auch ein erfolgreicher Hochschullehrer.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 800 pp. Deutsch.

Taschenbuch. Condition: 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. Condition: 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. Condition: 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. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread world-wide for his innovations in symbolic logic and the development and applications made since his day. The utility of 'Boolean algebra' in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, 'A mathematical analysis of logic' (1947) and 'An investigation of the laws of thought' (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a non-technical work, 'The Philosophy of logic', which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written. 236 pp. Englisch.

Taschenbuch. Condition: 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.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course. 250 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is dedicated to the memory of an outstanding mathematician and personality, Vladimir Petrovich Potapov, who made important contributions to and exerted considerable influence in the areas of operator theory, complex analysis and their points of juncture. The book commences with insightful biographical material, and then presents a collection of papers on different aspects of operator theory and complex analysis covering those recent achievements of the Odessa-Kharkov school in which Potapov was very active. The papers deal with interrelated problems and methods. The main topics are the multiplicative structure of contractive matrix and operator functions, operators in spaces with indefinite scalar products, inverse problems for systems of differential equations, interpolation and approximation problems for operator and matrix functions. The book will appeal to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars. 212 pp. Englisch.

Taschenbuch. Condition: 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. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes. Modern computers allow the implementation of highly accurate ones; hence, their construction and investigation for various boundary value problems in mathematical physics is generating much current interest. The present monograph is devoted to the construction of highly accurate difference schemes for parabolic boundary value problems, based on Padé approximations. The investigation is based on a new notion of positivity of difference operators in Banach spaces, which allows one to deal with difference schemes of arbitrary order of accuracy. Establishing coercivity inequalities allows one to obtain sharp, that is, two-sided estimates of convergence rates. The proofs are based on results in interpolation theory of linear operators. This monograph will be of value to professional mathematicians as well as advanced students interested in the fields of functional analysis and partial differential equations. 353 pp. Englisch.

Taschenbuch. Condition: 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. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume contains the proceedings of 'PDE 2000', the international conference on partial differential equations held July 24 -28, 2000, in Clausthal. The confer ence took place during the EXPO 2000 and was sponsored by the Land Nieder sachsen, the Deutsche Forschungsgemeinschaft, the Bergstadt Clausthal-Zellerfeld and the Kreissparkasse Clausthal-Zellerfeld. This conference continues a series: Ludwigfelde 1976, Reinhardsbrunn 1985, Holz hau 1988, Breitenbrunn 1990, Lambrecht 1991 (proceedings in Operator Theory: Advances and Applications, Vol. 57, Birkhauser Verlag 1992), Potsdam 1992 and 1993, Holzhau 1994 (proceedings in Operator Theory: Advances and Applications, Vol. 78, Birkhauser Verlag 1995), Caputh 1995 and Potsdam 1996 (proceedings in Mathematical Research, Vol. 100, Akademie Verlag 1997). The intention of the organizers was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclas sical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochas tic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), 1. Rodino (Thrin), B.-W. Schulze (Potsdam) and J. Sjostrand (Paris). 368 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The firstversion of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. 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. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications. 516 pp. Englisch.

Taschenbuch. Condition: 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. Condition: 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. Condition: 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. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Stroke is a leading cause of death in developed countries. However,current therapeutic strategies for stroke have been largelyunsuccessful. One possible explanation is that research andpharmacological management have focused on very early events in brainischemia. New research has shown that brain ischemia and trauma elicitstrong inflammatory reactions driven by both external and brain cells.The recognition of inflammation as a fundamental response to brainischemia provides novel opportunities for new anti-inflammatorytherapies.For the first time, an international body of researchers presents thelatest findings about the cellular and humoral aspects of immune andinflammatory reactions in the brain. The work may have an impact on thetreatment of neuroinjuries and ancillary brain diseases, and increasethe understanding of the roles infections and immune reactions play inthe brain milieu. 376 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The collection of papers in this volume represents recent advances in the under standing of the geometry and topology of singularities. The book covers a broad range of topics which are in the focus of contemporary singularity theory. Its idea emerged during two Singularities workshops held at the University of Lille (USTL) in 1999 and 2000. Due to the breadth of singularity theory, a single volume can hardly give the complete picture of today's progress. Nevertheless, this collection of papers provides a good snapshot of what is the state of affairs in the field, at the turn of the century. Several papers deal with global aspects of singularity theory. Classification of fam ilies of plane curves with prescribed singularities were among the first problems in algebraic geometry. Classification of plane cubics was known to Newton and classification of quartics was achieved by Klein at the end of the 19th century. The problem of classification of curves of higher degrees was addressed in numerous works after that. In the paper by Artal, Carmona and Cogolludo, the authors de scribe irreducible sextic curves having a singular point of type An (n 15) and a large (Le. , :::: 18) sum of Milnor numbers of other singularities. They have discov ered many interesting properties of these families. In particular they have found new examples of so-called Zariski pairs, i. e. 260 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These proceedings contain the main topics and results presented at the Fourth International Conference on Multivariate Approximation. The meeting took place during the week of September 24-29, 2000 at the now well-known 'Haus Bommerholz', the guest-house of the University of Dortmund. It hosted 43 participants from 16 countries, and the program included 9 invited one-hour lectures, 21 contributed talks, and two problem sessions. The articles collected here are carefully peer-refereed and suitably edited for publication. Following the tradition of this series of conferences, the meeting was aimed at advancing selected topics of Multivariate Approximation Theory. These include approximation on compact sets (such as spheres, balls, or compact ho mogeneous manifolds), spherical designs and energy functionals, interpolation by radial basis functions and by splines, frame theory and Gabor analysis, re finable function systems and subdivision, properties of harmonic, polyharmonic and blending functions, sampling and data compression, among others. The editors would like to express their thanks to all who have given their sup port to the conference, and to the preparation of this book. In particular, our thanks go to the Deutsche Forschungsgemeinschaft for their funding of the con ference, to the University of Dortmund, and to the staff of Haus Bommerholz for their help running the conference, and to the Universities of Dortmund and Duisburg for the financial support of this proceedings volume. 268 pp. Englisch.