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    • Topological Algebras with Involution

      • 1st Edition
      • Volume 200
      • July 26, 2005
      • M. Fragoulopoulou
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 2 0 1 3
      • Hardback
        9 7 8 0 4 4 4 5 2 0 2 5 8
      • eBook
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      This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how things behave, when the mathematical structures are far from being algebras endowed with a complete or non-complete algebra norm. In problems related with mathematical physics, such instances are, indeed, quite common.Key features:- Lucid presentation- Smooth in reading- Informative- Illustrated by examples- Familiarizes the reader with the non-normed *-world- Encourages the hesitant- Welcomes new comers.

    • Morality in Context

      • 1st Edition
      • Volume 137
      • July 25, 2005
      • Wolfgang Edelstein + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 2 0 7 8 4
      • Paperback
        9 7 8 0 4 4 4 5 4 6 8 5 2
      • eBook
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      Morality in context is a timely topic. A debate between philosophers and social scientists is a good way to approach it. Why is there such a booming interest in morality and why does it focus on context? One starting point is the change in the sociostructural and sociocultural conditions of modern societies. This involves change in the empirical conditions of moral action and in the social demand on morality. As these changes are accounted for and analyzed in the social sciences, new perspectives emerge that give rise to new ways of framing issues and problems. These problems are best addressed by way of cooperation between philosophers and social scientists. As Habermas (1990) has pointed out in a much cited paper, philosophers depend on social science to fill in the data they require to answer the questions raised by philosophy in its "placeholder" function. The reverse also holds true: Social science needs the conceptual clarifications that philosophy can provide. With respect to morality, such mutual interchanges are of particular importance the contributions to this book show convincingly.

    • Infinite Dimensional Linear Control Systems

      • 1st Edition
      • Volume 201
      • July 12, 2005
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 6 3 2 9
      • eBook
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      For more than forty years, the equation y’(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date).The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals.The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y’(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research.Key features:· Applications to optimal diffusion processes.· Applications to optimal heat propagation processes.· Modelling of optimal processes governed by partial differential equations.· Complete bibliography.· Includes the latest research on the subject.· Does not assume anything from the reader except basic functional analysis.· Accessible to researchers and advanced graduate students alike

    • Half-Linear Differential Equations

      • 1st Edition
      • Volume 202
      • July 6, 2005
      • Ondrej Dosly + 1 more
      • English
      • Paperback
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      • Hardback
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      • eBook
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      The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferent... equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE’s with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.

    • Data Mining and Data Visualization

      • 1st Edition
      • Volume 24
      • May 2, 2005
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 1 4 1 6
      • eBook
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      Data Mining and Data Visualization focuses on dealing with large-scale data, a field commonly referred to as data mining. The book is divided into three sections. The first deals with an introduction to statistical aspects of data mining and machine learning and includes applications to text analysis, computer intrusion detection, and hiding of information in digital files. The second section focuses on a variety of statistical methodologies that have proven to be effective in data mining applications. These include clustering, classification, multivariate density estimation, tree-based methods, pattern recognition, outlier detection, genetic algorithms, and dimensionality reduction. The third section focuses on data visualization and covers issues of visualization of high-dimensional data, novel graphical techniques with a focus on human factors, interactive graphics, and data visualization using virtual reality. This book represents a thorough cross section of internationally renowned thinkers who are inventing methods for dealing with a new data paradigm.

    • Numerical Methods in Electromagnetics

      • 1st Edition
      • Volume 13
      • April 4, 2005
      • W.H.A. SCHILDERS + 1 more
      • English
      • Hardback
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      • eBook
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      This special volume provides a broad overview and insight in the way numerical methods are being used to solve the wide variety of problems in the electronics industry. Furthermore its aim is to give researchers from other fields of application the opportunity to benefit from the results wich have been obtained in the electronics industry.

    • Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications

      • 1st Edition
      • Volume 199
      • January 20, 2005
      • Badri Dvalishvili
      • English
      • Hardback
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      • Paperback
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      • eBook
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      This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and study algebra of new type, the corresponding representation of which brings one to the special class of bitopological spaces. It is beyond any doubt that in the nearest future the areas of essential applications will be the theories of linear topological spaces and topological groups, algebraic and differential topologies, the homotopy theory, not to mention other fundamental areas of modern mathematics such as geometry, mathematical logic, the probability theory and many other areas, including those of applied nature. Key Features:- First monograph is "Generalized Lattices"

    • Universal Spaces and Mappings

      • 1st Edition
      • Volume 198
      • January 19, 2005
      • S.D. Iliadis
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Universal Spaces and Mappings is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on.

    • Handbook of Complex Analysis

      • 1st Edition
      • December 9, 2004
      • Reiner Kuhnau
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 5 4 7 6
      • eBook
        9 7 8 0 0 8 0 4 9 5 1 7 0
      Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane).

    • Handbook on the Physics and Chemistry of Rare Earths

      • 1st Edition
      • Volume 34
      • November 27, 2004
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 5 8 7 2
      • eBook
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      This volume of the Handbook adds five new chapters to the science of rare earths. Two of the chapters deal with intermetallic compounds. An overview of ternary systems containing rare earths, transition metals and indium – Chapter 218 – opens the volume. It is followed by Chapter 219 sorting out relationships between superconductivity and magnetism. The next two chapters are dedicated to complex compounds of rare earths: Chapter 220 describes structural studies using circularly polarized luminescence spectroscopy of lanthanide systems, while Chapter 221 examines rare-earth metal-organic frameworks, also known as coordination polymers. The final Chapter 222 deals with the catalytic activity of rare earths in site-selective hydrolysis of DNA and RNA.

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