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    • Summability Through Functional Analysis

      • 1st Edition
      • Volume 85
      • April 1, 2000
      • A. Wilansky
      • English
      • Paperback
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      • eBook
        9 7 8 0 0 8 0 8 7 1 9 6 7
      Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

    • Recent Topics in Nonlinear PDE

      • 1st Edition
      • Volume 98
      • April 1, 2000
      • M. Mimura + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 0 9 4
      This volume contains papers covering the theory of nonlinear PDEs and the related topics which have been recently developed in Japan.

    • New Generalized Functions and Multiplication of Distributions

      • 1st Edition
      • Volume 84
      • April 1, 2000
      • J.F. Colombeau
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 7 6 6
      • eBook
        9 7 8 0 0 8 0 8 7 1 9 5 0
      This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.

    • Differential Equations

      • 1st Edition
      • Volume 92
      • April 1, 2000
      • I.W. Knowles + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 0 3 2
      This volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger equations and certain non-linear wave equations. A number of papers are devoted to multi-particle scattering theory, and to inverse theory. In addition, many of the plenary lectures contain a significant amount of survey material on a wide variety of these topics.

    • A Theory of Cognitive Aging

      • 1st Edition
      • Volume 28
      • April 1, 2000
      • T. Salthouse
      • English
      • Paperback
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      • eBook
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      Over a half-century of research has documented the fact that people of different ages perform at different levels on a variety of tests of cognitive functioning, and yet there are still no comprehensive theories to account for these phenomena. A Theory of Cognitive Aging is intended to begin intellectual discussion in this area by identifying major issues of controversy, and proposing a particular theoretical interpretation based on the notion that the rate of processing information slows down with increased age. Although still quite preliminary, the theoretical perspective is demonstrated to provide a plausible account for age-related differences in functioning on measures of memory, spatial ability and reasoning. The book has four aims: - To advocate a more explicitly theoretical approach to research in the area of cognitive aging. - To outline three important dimensions along which it is argued that any theory of cognitive aging phenomena must take a position. - To evaluate empirical evidence relevant to specific positions along those dimensions. - To summarize the major concepts of the current theory, and to describe its application to selected findings in the research literature.

    • Analysing and Aiding Decision Processes

      • 1st Edition
      • Volume 14
      • April 1, 2000
      • P. Humphreys + 2 more
      • English
      • eBook
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      This book contains an edited selection of papers presented at the Eighth Research Conference on Subjective Probability, Utility and Decision Making, held in Budapest. Together they span a wide range of new developments in studies of decision making, the practice of decision analysis and the development of decision-aiding technology.The volume is arranged in sections: Societal Decision Making; Organizational Decision Making; Aiding the Structuring of Small Scale Decision Problems, and Tracing Decision Processes.The emphasis is on decision processes and structures and their applications, rather than formal modelling in isolation, thus reflecting current developments in research and practice which follow from the understanding of the nature and operation of decision theoretical models gained during the 1970's.The fifth section, A Symposium on the Validity of Studies on Heuristics and Biases, is of a different nature. The papers take stock of the considerable volume of work investigation ``heuristics and biases'' in decision making over the past decade, and their implication for theory and practice.

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