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    • Introduction to Operator Theory and Invariant Subspaces

      • 1st Edition
      • Volume 42
      • October 1, 1988
      • B. Beauzamy
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 1 2 4
      • eBook
        9 7 8 0 0 8 0 9 6 0 8 9 0
      This monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis. The book is self-contained, except for a few technical tools, for which precise references are given.Part I starts with finite-dimensional spaces and general spectral theory. But very soon (Chapter III), new material is presented, leading to new directions for research. Open questions are mentioned here. Part II concerns compactness and its applications, not only spectral theory for compact operators (Invariant Subspaces and Lomonossov's Theorem) but also duality between the space of nuclear operators and the space of all operators on a Hilbert space, a result which is seldom presented. Part III contains Algebra Techniques: Gelfand's Theory, and application to Normal Operators. Here again, directions for research are indicated. Part IV deals with analytic functions, and contains a few new developments. A simplified, operator-oriented, version is presented. Part V presents dilations and extensions: Nagy-Foias dilation theory, and the author's work about C1-contractions. Part VI deals with the Invariant Subspace Problem, with positive results and counter-examples.In general, much new material is presented. On the Invariant Subspace Problem, the level of research is reached, both in the positive and negative directions.

    • Fuzzy Sets in Psychology

      • 1st Edition
      • Volume 56
      • September 1, 1988
      • T. Zetenyi
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 8 8 9 4
      • eBook
        9 7 8 0 0 8 0 8 6 7 1 0 6
      This volume provides an up-to-date picture of the current status of theoretical and empirical developments in the application of fuzzy sets in psychology. Fuzzy set theory could benefit researchers in at least two ways: first, as a metaphor or model for ordinary thought, and secondly, as an aid to data analysis and theory construction. One can find examples for both kinds in the volume, which will be of interest both to the advanced student in the field as well as to anyone possessing a basic scientific background.

    • Cognition and Action in Skilled Behaviour

      • 1st Edition
      • Volume 55
      • September 1, 1988
      • A.M. Colley + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 0 9 0
      This book contains a number of chapters on the control and execution of skilled movements, as well as more general chapters on theoretical issues in skilled performance. The contributors have summarised their most recent research, and general themes and issues are presented in discussion chapters at the end of each section, thus providing a good general summary of the kind of research and theoretical frameworks developing in this area.The first section is concerned with the theoretical issues of programming and co-ordination. Issues raised in the second section are basic to much of the research reviewed in the volume. This section summarises the various theoretical positions in the recent debates on the role of cognitive processes in motor control and the usefulness of the ``psychomotor'' approach, and contains chapters based on individual papers which present relevant empirical findings. The third section deals with the learning and performance of skilled movements, containing papers with practical implications for everyday skills. The final section contains chapters on cognitive processes in skilled performance.

    • Human Judgment

      • 1st Edition
      • Volume 54
      • September 1, 1988
      • B. Brehmer + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 0 8 3
      There are four basic goals for research in SJT (Social Judgment Theory): - to analyze judgment tasks and judgmental processes; - to analyze the relations between judgmental systems (i.e. to analyze agreement and its structure), and between tasks and judgmental systems (i.e. to analyze achievement and its structure; - to understand how relations between judgmental systems and between judgmental systems and tasks come to be whatever they are (i.e. to understand processes of communication and learning and their effects upon achievement and agreement); - to find means of improving the relation between judgmental systems (improving agreement) and between judgmental systems and tasks (improving achievement).

    • Interface Dynamics

      • 1st Edition
      • September 1, 1988
      • D. Berthe + 3 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 5 7 6 7
      Many tribologists are today not only explicitly concerned with interface action but also with interface composition. This proceedings volume presents a timely review on topics ranging from interface dynamics to interface elimination, covering all factors such as contact stress fields, interface rheology, and boundary slip, that control the passage from formation to elimination. The volume contains 45 papers divided into 13 sessions, that were presented at the symposium.

    • Physics of NMR Spectroscopy in Biology and Medicine

      • 1st Edition
      • September 1, 1988
      • B. Maraviglia
      • English
      • Paperback
        9 7 8 0 4 4 4 5 6 7 9 2 5
      • eBook
        9 7 8 0 4 4 4 5 9 7 7 9 3
      As a result of the recent expansion of nuclear magnetic resonance in biomedicine, a number of workshops and schools have been organized to introduce the NMR principles to a wider group of biologists, radiologists, neurologists, etc. The aim of most of these courses was to provide a common vocabulary and enough information about ``pulse sequences'', relaxation times, etc. in order to facilitate the use of the various types of NMR imaging systems. However, no courses were organized for the physicists who were responsible for the origin and evolution of the ideas in this area. This Enrico Fermi school was therefore organized. The topics discussed included the theoretical interpretation and prediction of NMR signals, the study of new imaging techniques up to the building of special r.f. coils and the study of new methods for analysing NMR data in the time domain.

    • Minimal Flows and Their Extensions

      • 1st Edition
      • Volume 153
      • July 1, 1988
      • J. Auslander
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 6 4 3
      This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps).Various classes of minimal flows (equicontinuous, distal, point distal) are intensively studied, and a general structure theorem is obtained. Another theme is the ``universal'' approach - entire classes of minimal flows are studied, rather than flows in isolation. This leads to the consideration of disjointness of flows, which is a kind of independence condition. Among the topics unique to this book are a proof of the Ellis ``joint continuity theorem'', a characterization of the equicontinuous structure relation, and the aforementioned structure theorem for minimal flows.

    • Mathematical Physics

      • 1st Edition
      • Volume 152
      • June 1, 1988
      • R. Carroll
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 0 8 7
      • eBook
        9 7 8 0 0 8 0 8 7 2 6 3 6
      An introduction to the important areas of mathematical physics, this volume starts with basic ideas and proceeds (sometimes rapidly) to a more sophisticated level, often to the context of current research.All of the necessary functional analysis and differential geometry is included, along with basic calculus of variations and partial differential equations (linear and nonlinear). An introduction to classical and quantum mechanics is given with topics in Feynman integrals, gauge fields, geometric quantization, attractors for PDE, Ginzburg-Landau Equations in superconductivity, Navier-Stokes equations, soliton theory, inverse problems and ill-posed problems, scattering theory, convex analysis, variational inequalities, nonlinear semigroups, etc. Contents: 1. Classical Ideas and Problems. Introduction. Some Preliminary Variational Ideas. Various Differential Equations and Their Origins. Linear Second Order PDE. Further Topics in the Calculus of Variations. Spectral Theory for Ordinary Differential Operators, Transmutation, and Inverse Problems. Introduction to Classical Mechanics. Introduction to Quantum Mechanics. Weak Problems in PDE. Some Nonlinear PDE. Ill-Posed Problems and Regularization. 2. Scattering Theory and Solitons. Introduction. Scattering Theory I (Operator Theory). Scattering Theory II (3-D). Scattering Theory III (A Medley of Themes). Scattering Theory IV (Spectral Methods in 3-D). Systems and Half Line Problems. Relations between Potentials and Spectral Data. Introduction to Soliton Theory. Solitons via AKNS Systems. Soliton Theory (Hamiltonian Structure). Some Topics in Integrable Systems. 3. Some Nonlinear Analysis: Some Geometric Formalism. Introduction. Nonlinear Analysis. Monotone Operators. Topological Methods. Convex Analysis. Nonlinear Semigroups and Monotone Sets. Variational Inequalities. Quantum Field Theory. Gauge Fields (Physics). Gauge Fields (Mathematics) and Geometric Quantization. Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index.

    • A History of Psychology in Metascientific Perspective

      • 1st Edition
      • Volume 53
      • June 1, 1988
      • K.B. Madsen
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 8 9 0 0
      • eBook
        9 7 8 0 0 8 0 8 6 7 0 7 6
      Two fields of interest are combined in this volume: the history of science and the theory, or philosophy, of science (metascience). The result is a history of psychology with emphasis placed upon a metascientific analysis of the work of fourteen psychologists from various periods.Each analysis is set in historical context; a period or school is discussed in each chapter, together with a metascientific analysis of some major works from the respective period or school. The author employs a metascientific descriptive system or `systematology' developed during more than 30 years of work on comparative, metascientific studies of about 50 psychological theories. The results of those studies have been published in previous works.These analyses are also used here for verifying T.S. Kuhn's much-debated theory about the `revolutionary' development of sciences. The author revises Kuhn's theory and shows that it can be applied to the history of psychology. Thus, in a Kuhnian sense, psychology may be said to have had two `normal periods' and two `periods of crisis' leading to school formation.

    • Progress in Optics

      • 1st Edition
      • Volume 26
      • May 1, 1988
      • English
      • eBook
        9 7 8 0 0 8 0 8 8 7 6 6 1

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