springer basel springer basel dez 2012 (37 results)

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

Taschenbuch. Condition: Neu. Neuware -This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations.The book is self-contained, although some parts may be considered as a continuation of the author's book Fractals and Spectra. It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.The book under review can be regarded as a continuation of [his book on 'Fractals and spectra', 1997] (.) There are many sections named: comments, preparations, motivations, discussions and so on. These parts of the book seem to be very interesting and valuable. They help the reader to deal with the main course.(Mathematical Reviews)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 440 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators. Methods were proposed by Born/Jordan, Kirkwood, and Weyl. Sometime later, Moyal saw the connection between the Weyl rule and the Wigner distribution, which had been proposed by Wigner in 1932 as a way of doing quantum statistical mechanics. The basic idea of associating functions with operators has since been generalized and developed to a high degree. It has found several application fields, including quantum mechanics, pseudo-differential operators, time-frequency analysis, quantum optics, wave propagation, differential equations, image processing, radar, and sonar.This book aims at bringing together the results from the above mentioned fields in a unified manner and showing the reader how the methods have been applied. A wide audience is addressed, particularly students and researchers who want to obtain an up-to-date working knowledge of the field. The mathematics is accessible to the uninitiated reader and is presented in a straightforward manner.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 172 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -The book contains articles from leading experts in different areas of biological physics. Topics ranging from cell dynamics to the evolution of multicellularity to conscious versus non-conscious evidence accumulation are reviewed and discussed, both from a theoretical and an experimental perspective. Furthermore, current developments of practical applications like magnetic tweezers for the study of DNA replication and brain imaging are presented.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 180 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the14th to the 18th of June 2011, are collected.¿Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 160 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -The three-dimensional device simulation has become a necessary tool for the design and investigation of complex device structures. The evolution of the three-dimensional simulation tools is directly linked to the scaling of the devices and the increasing complex ity of dynamic random access memory (DRAM) cells. Scaling of MOSFET devices led to a three-dimensional geometry with effects which cannot be handled by two-dimensional simulations anymore. With increasing integration density in DRAMs the third dimen sion had to be utilized to realize the storage capacitor. The result ing leakage problems have to be investigated and the cell design optimized by means of three-dimensional simulations. This book is intended for senior undergraduate students in applied physics, electrical engineering and computational physics, as well as for scientists and engineers involved in semiconductor device re search and development. It is also intended for software engineers and all those who are concerned with simulation. The book will give an overview on the problems and activities con cerning three-dimensional device simulation, without the claim of being a classical textbook. It starts from the classical semiconduc tor equations, discusses the physical models used in device simu lation, describes the discretization and some numerical methods for solving the differential equations. The application of the three dimensional simulation to VLSI device engineering is illustrated by a few specific examples.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 132 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -Zur Pflanzengeographie Chinas China oder Sina sagen die einen, andere nennen es Eine einzige Ordnung ist für das kosmische Leben . Diese letztgenannte Bezeichnung maßgebend, und zwar ist es jene Ordnung, die ihm ist eine Übersetzung des offiziellen chinesischen . 1'' a die Kultur aufpriigt. ' mcns ,zhong kuo>. Der zweite-ebenfalls offizielle Riesig groß ist China, das Blütenland. 'on der . 1''amc des chinesischen Reichs lautet , Ostgrenze bis zur Vestgrenze mnfaßt es 6o Längen was so'iel heißt wie ,ßfumen>-oder ,ßfütenlamf, ein grade, was einem Sechstel des Erdumfangs ent Name, der für dieses Land der Nordhemisphäre spricht; Yom Norden zum Süden sind es so Breiten durchaus berechtigt ist, denn hier ist die l iclfiiltig grade. Das Klima ist kühl-gemäßigt im . 1''orden mit stc, artenreichste Flora der Alten \\'elt 1 orhandcn. ariden, wüstenhaften Gebieten, im Süden hingegen Zudem sind Blumen, Bäume und Sträucher nicht gibt es tropische Regenwälder mit entsprechend ho nur Schmuck und Zierde, sondern sie sind seit ur her Luftfeuchtigkeit. Der Chomolongma im Eln alter Zeit mit Bedeutungstiefe 1erankert. Jahreszeit estmassi' ist mit seinen 884H m der höchste Berg der liches Denken und Fühlen ist in China lebendig Welt. Der tiefste Punkt in China liegt unter dem geblieben. Auch heute noch 11 eiß jedermann, wel Meeresni'eau und mißt -'54 m; er befindet sich in che Pflanzen unter den ''ier Edlen> zu 1erstehen der Nähe des Aydingkolsees. Riesenhafte Berge, sind oder 11er d)ie Drei Freunde des Winters> sind.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 160 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -Der Lebensnerv aller intellektuellen und wissenschaftlichen Bestrebungen ist der ständige Zustrom wichtiger, ungelöster, aber im Prinzip lösbarer Probleme. Die projektive Geometrie zum Beispiel war früher eine blühende Ecke im mathemati schen Garten. Heute jedoch ist sie nicht mehr modern - einfach weil die Quelle wichtiger Probleme vor etwa hundert Jahren versiegte. Für die heute so populäre Chaostheorie dagegen interessierte sich vor einigen Jahrzehnten nur eine Handvoll weitsichtiger Abenteurer und Kenner des mathematisch Geheimnisvollen, bevor in jüngerer Zeit die Arbeiten von Lorenz, Smale, Feigenbaum, Yorke, May, Rössler und vielen anderen eine Fülle von Problemen aufwarfen, mit denen sich heutzutage die Chaologen, ihre Studenten und ihre Mitläufer beschäftigen. Diese Beispiele illustrieren deutlich George P6lyas wohlbekannte These, die Mathematik sei die Kunst des Problemlösens. Aber im Gegensatz zu Wissenschaftlern aus anderen Disziplinen benutzen die Mathematiker einen speziellen Ausdruck für die Lösung ihrer Probleme: Bei ihnen heißt er Theorem. Die Mathematik handelt von Theoremen: wie man auf sie kommt, wie man sie beweist, wie man sie verallgemeinert, wie man sie anwendet und wie man sie versteht. Die großen Fünfmöchte dem Leser die Mathematik näherbringen, indem es fünf der wichtigsten Errungenschaften der Mathematik unseres Jahrhunderts vorstellt. In diesem Buch werden Sie einige der größten Probleme, die die Mathe matik gelöst hat, kennenlernen. Ich möchte Ihnen zeigen, wie sie gelöst wurden, und vor allem, warum die Lösungen von Bedeutung sind - und dies nicht nur für Mathematiker. Die großen Fünfwilllehrreich und unterhaltsam sein; das Buch will Mathematik anhand von Beispielen und nicht von Lehrbuchsätzen vermitteln.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 228 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -Schrödinger Equations and Diffusion Theory addresses the question ¿What is the Schrödinger equation ¿ in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger¿s conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tells us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles.The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrödinger equations.The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics.The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.This book is a self-contained, very well-organized monograph recommended to researchers and graduate students in the field of probability theory, functional analysis and quantum dynamics.(.)what is written in this book may be regarded as an introduction to the theory of diffusion processes and applications written with the physicists in mind. Interesting topics present themselves as the chapters proceed. (.) this book is an excellent addition to the literature of mathematical sciences with a flavour different from an ordinary textbook in probability theory because of the author¿s great contributions in this direction. Readers will certainly enjoy the topics and appreciate the profound mathematical properties of diffusion processes.(Mathematical Reviews)¿Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 332 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -Der Bundesweite Überwachungsplan (BÜp) ist ein für ein Jahr festgelegter Plan über die zwischen den Bundesländern abgestimmte Durchführung von amtlichen Kontrollen zur Überprüfung der Einhaltung der lebensmittelrechtlichen, weinrechtlichen und tabakrechtlichen Vorschriften. Er kann Programme enthalten zu Produkt- und Betriebskontrollen oder eine Kombination aus beidem. Im Gegensatz zum Monitoring nach 50 - 52 des Lebensmittel- und Futtermittelgesetzbuch (LFGB) ist der BÜp ein risikoorientiertes Überwachungsprogramm. Das heißt, dass die Auswahl der zu untersuchenden Proben und der zu kontrollierenden Betriebe gezielt auf Basis einer Risikoanalyse erfolgt. Im Rahmen des BÜp können Lebensmittel, Kosmetika und Bedarfsgegenstände untersucht werden. Die Untersuchungen von Erzeugnissen können dabei beispielsweise die folgenden Aspekte abdecken: chemische Parameter, mikrobiologische Parameter, die Anwendung bestimmter Herstellungsverfahren oder die Überprüfung von Kennzeichnungselementen. Betriebskontrollen werden vorrangig durchgeführt zur Prüfung der Einhaltung hygienerechtlicher Vorgaben, der Rückverfolgbarkeit, der Zusammensetzung und der Kennzeichnung der Produkte.¿Birkhäuser Verlag GmbH, Im Westfeld 8, 4055 Basel 80 pp. Deutsch.

Taschenbuch. Condition: Neu. Neuware -An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features:The origin of Itös correction formulae for Brownian motion and the Poisson process can be traced to commutation relations or, equivalently, the uncertainty principle.Quantum stochastic integration enables the possibility of seeing new relationships between fermion and boson fields.Many quantum dynamical semigroups as well as classical Markov semigroups are realised through unitary operator evolutions.The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level.This is an excellent volume which will be a valuable companion bothto those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students.(Mathematical Reviews)This monograph gives a systematic and self-contained introduction to the Fock space quantum stochastic calculus in its basic form (.) by making emphasis on the mathematical aspects of quantum formalism and its connections with classical probability and by extensive presentation of carefully selected functional analytic material. This makes the book very convenient for a reader with the probability-theoretic orientation, wishing to make acquaintance with wonders of the noncommutative probability, and, more specifcally, for a mathematics student studying this field.(Zentralblatt MATH)Elegantly written, withobvious appreciation for fine points of higher mathematics (.) most notable is [the] author's effort to weave classical probability theory into [a] quantum framework.(The American Mathematical Monthly)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 304 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems.Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones.Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived.The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in parabolic partial differential equations and systems. It gives a comprehensive overview on the present state of the art in the field, teaching at the same time how to exploit its basic techniques.This very interesting book provides a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and how this theory may be used in the study of parabolic partial differential equations; it takes into account the developments of the theory during the last fifteen years. (.) For instance, optimal regularity results are a typical feature of abstract parabolic equations; they are comprehensively studied in this book, and yield new and old regularity results for parabolic partial differential equations and systems.(Mathematical Reviews)Motivated by applications to fully nonlinear problems the approach is focused on classical solutions with continuous or Hölder continuous derivatives.(Zentralblatt MATH)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 444 pp. Englisch.

Buch. Condition: Neu. Neuware -This Lecture Notes volume isthe 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)'. The volume focuses on geometric methods in Galois theory. The choice of the editors is to provide a complete and comprehensive account of modern points of view on Galois theory and related moduli problems, using stacks, gerbes and groupoids. It contains lecture notes on étale fundamental group and fundamental group scheme, and moduli stacks of curves and covers. Research articles complete the collection.¿Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 416 pp. Englisch.

Buch. Condition: Neu. Neuware -The knowledge of Th17 cells and other cell populations which secrete IL-17A, and/or IL-22 has expanded tremendously since the publication of the first edition ¿Th17 Cells: Role in Inflammation and Autoimmune Disease¿ in 2008. The present volume has been completely revised with the addition of new chapters on the IL-17 receptor family and signaling, and an in-depth review of IL-22 and innate lymphoid cells. The differentiation of naïve T cells into regulatory T cells and Th17 cells as well as the plasticity of Th17 cells is discussed. The role of IL-22 in cutaneous inflammation including psoriasis has been reviewed. In addition, the volume contains critical updates on autoimmunity, organ transplantation, tumor immunology and genetic mouse models for mechanistic studies. Lastly, the latest clinical progress in neutralizing antibodies to IL-17A, IL-17RA not only confirms the therapeutic promise foreseen in 2008, but also improves our knowledge of the pathogenesis of autoimmune diseases. In summary, this is a timely update and important review of the clinical and experimental aspects of IL-17, IL-22 and their producing cells.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 364 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -ls ich im Herbst 1978 gerade meine Doktorarbeit beendet A hatte, überlegte ich, welches Forschungsgebiet ich mir als nächstes mit meinen Lieblings-Versuchstieren, den Bienen, vor nehmen sollte. Als äußerst reizvolles Thema erschien mir die Frage, wie der Prozeß der Nahrungsbeschaffung im Bienenvolk organisiert wird. Die jüngste Arbeit von Bemd Heinrich, die er in seinem Buch Bumblebee Economics wunderbar zusammen gefaßt hatte, zeigte den Erfolg einer besonderen Sichtweise: Er betrachtete das Hummelvolk als ökonomische Einheit, die durch die natürliche Selektion dazu gebracht worden war, ihre Energie ressourcen effektiv zu sammeln und zu verwerten. Mich fesselte der Gedanke, diese Sichtweise auf Honigbienen anzuwenden. Weil Bienenvölker größer sind als Hummelvölker und ausgefeil tere Kommunikationssysteme besitzen, war es offensichtlich, daß sie einen noch größeren Schatz an Organisationsstrukturen für ihren Energiehaushalt besitzen müssen. Natürlich war schon viel über die inneren Abläufe bei Bienenvölkern bekannt, besonders über die berühmte Tanzsprache, mit der Honigbienen ihre Stock genossinnen zur Ausbeutung reicher Trachtquellen anwerben.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 384 pp. Deutsch.

Buch. Condition: Neu. Neuware -Biographie des ungarischen Mathematikers János Bolyai (1802-1860), der etwa gleichzeitig mit dem russischen Mathematiker Nikolai Lobatschewski und unabhängig von ihm die nichteuklidische Revolution eingeleitet hat. Diese erbrachte den Nachweis, dass die euklidische Geometrie keine Denknotwendigkeit ist, wie Kant irrtümlicherweise annahm. Das Verständnis für die kühnen Gedankengänge verbreitete sich allerdings erst in der zweiten Hälfte des 19. Jahrhunderts durch die Arbeiten von Riemann, Beltrami, Klein und Poincaré. Die nichteuklidische Revolution war eine der Grundlagen für die Entwicklung der Physik im 20. Jahrhundert und für Einsteins Erkenntnis, dass der uns umgebende reale Raum gekrümmt ist. Tibor Weszely schildert das wechselvolle Leben des Offiziers der K.u.K.-Armee, der krank und vereinsamt starb. Bolyai hat sich auch intensiv mit den komplexen Zahlen und mit Zahlentheorie befasst, ebenso auch mit philosophischen und sozialen Fragen (¿Allheillehre¿) sowie mit Logik und Grammatik.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 304 pp. Deutsch.

Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book summarizes about 40 years of the author's research on sedimentary geology in an epicontinental (shelf) sea during the Late Jurassic in northern Switzerland. It presents a synopsis of the interplay of varying paleoclimate, of sea level variations, of varying water depth, of sea floor topography, of vertical and lateral facies changes, of processes of sedimentation like aggradation and progradation, of compaction, of the great regional differences in rates of sedimentation and in isostatic equilibration of the lithosphere under load, and of concomitant synsedimentary tectonics. Regional variation in isostatic adjustment of the lithosphere to the increasing load of sediments is analyzed by means of time correlations based on a detailed biochronology of ammonites in combination with mineral stratigraphy using the comparatively stable clay mineral kaolinite, and with sequence stratigraphy. 216 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Volume 42 of 'Progress in Drug Research' contains seven reviews and the various indexes which facilitate its use and establish the con nection with the previous volumes. The articles in this volume deal with organization and management of drug research; luteinizing hor mone regulators; natural products as anticancer agents; flavonoids and their pharmacological activity; serenics in the control of mental disturbances; Transfer Factor and its application and with Transfer Factor in malignancy. In the 34 years that 'Progress in Drug Research' has existed, the Edi tor has enjoyed the valuable help and advice of many colleagues. Readers, the authors of the reviews, and last but not least, the review ers have all contributed greatly to the success of this series. 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 a review series. So far, it has been the Editors intention to help disseminate informa tion on the vast domain of drug research, and to provide the reader with a tool with which to keep abreast of the latest developments and trends. The reviews in PDR are useful to the non-specialists, who can obtain an overview of a particular field of drug research in a rela tively short time. 472 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The work of Professor Eduard Cech had a si~ificant influence on the development of algebraic and general topology and differential geometry. This book, which appears on the occasion of the centenary of Cech's birth, contains some of his most important papers and traces the subsequent trends emerging from his ideas. The body of the book consists of four chapters devoted to algebraic topology, Cech-Stone compactification, dimension theory and differential geometry. Each of these includes a selection of Cech's papers, a brief summary of some results which followed from his work or constituted solutions to the problems he posed, and several selected papers by various authors concerning the areas of study he initiated. The book also contains a concise biography borrowed with minor changes from the book Topological papers of E. tech, a list of Cech's publications and a very brief note on his activity in the didactics of mathematics. The editors wish to express their sincere gratitude to all who contributed to the completion and publication of this book.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 448 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results. 230 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The German land of Hesse (Bundesland Hessen) is well known for its excellent wines (Rheinhessen), for its financial centre and for its airport (FrankfurtlMain). It is, unjustifiably, far less well known for its importance to thennoregulation. Within the small area of Bad Nauheim, Giessen and Marburg (in alphabetical order) a greater concentration of students of thenno regulation has been trained or worked or is working than probably in any other single area of Europe, if not the world. It is thus most appropriate to hold the Ninth International Symposium on the Pharmacology of Thennoregulation in Giessen, from August 7 to 12, 1994. The community of students of thennoregulation was extremely grateful that Professor Kurt Bruck and the lustus-Liebig-University of Giessen had extended this invitation. The same community was even more saddened that Kurt Bruck died on April 27, 1992 and thus could not participate in this event that had been planned to honour his achievements. As a small token of friendship and affection, the many friends of Kurt Bruck from all over the world who will participate in this event dedicate this symposium to the memory of Kurt Bruck. Another staunch friend, researcher of temperature regulation and supporter of this series of symposia died in October 1993: Professor Wilhelm Siegmund Feldberg. We feel fortunate to be able to start this volume with two brief infonnal and personal accounts of professors Bruck and Feldberg. 522 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -We have considered writing the present book for a long time, since the lack of a sufficiently complete textbook about complex analysis in infinite dimensional spaces was apparent. There are, however, some separate topics on this subject covered in the mathematical literature. For instance, the elementary theory of holomorphic vector functions.and mappings on Banach spaces is presented in the monographs of E. Hille and R. Phillips [1] and L. Schwartz [1], whereas some results on Banach algebras of holomorphic functions and holomorphic operator-functions are discussed in the books of W. Rudin [1] and T. Kato [1]. Apparently, the need to study holomorphic mappings in infinite dimensional spaces arose for the first time in connection with the development of nonlinear anal ysis. A systematic study of integral equations with an analytic nonlinear part was started at the end ofthe 19th and the beginning ofthe 20th centuries by A. Liapunov, E. Schmidt, A. Nekrasov and others. Their research work was directed towards the theory of nonlinear waves and used mainly the undetermined coefficients and the majorant power series methods. The most complete presentation of these methods comes from N. Nazarov. In the forties and fifties the interest in Liapunov's and Schmidt's analytic methods diminished temporarily due to the appearence of variational calculus meth ods (M. Golomb, A. Hammerstein and others) and also to the rapid development of the mapping degree theory (J. Leray, J. Schauder, G. Birkhoff, O. Kellog and others). 284 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible uid n in a domain of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers' convenience, in the rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain . In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,the literature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph. 380 pp. Englisch.