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North Holland

  • Numerical Analysis of Variational Inequalities

    • 1st Edition
    • Volume 8
    • R. Trémolières + 2 more
    • English
  • The Bidual of C(X) I

    • 1st Edition
    • Volume 101
    • S. Kaplan
    • English
  • Nine Introductions in Complex Analysis

    • 1st Edition
    • Volume 53
    • Sanford L. Segal
    • English
  • Transmutation Theory and Applications

    • 1st Edition
    • Volume 117
    • R. Carroll
    • English
  • Theories of Computational Complexity

    • 1st Edition
    • Volume 35
    • C. Calude
    • English
    This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published before.In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.
  • Introduction to the Theory of Linear Partial Differential Equations

    • 1st Edition
    • Volume 14
    • J. Chazarain + 1 more
    • English
  • Saks Spaces and Applications to Functional Analysis

    • 2nd Edition
    • Volume 139
    • J.B. Cooper
    • English
    The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.
  • Probabilities and Potential, C

    Potential Theory for Discrete and Continuous Semigroups
    • 1st Edition
    • Volume 151
    • C. Dellacherie + 1 more
    • English
    This third volume of the monograph examines potential theory. The first chapter develops potential theory with respect to a single kernel (or discrete time semigroup). All the essential ideas of the theory are presented: excessive functions, reductions, sweeping, maximum principle. The second chapter begins with a study of the notion of reduction in the most general situation possible - the ``gambling house'' of Dubins and Savage. The beautiful results presented have never been made accessible to a wide public. These are then connected with the theory of sweeping with respect to a cone of continuous functions, and the integral representation in compact convex sets. The third chapter presents new or little-known results, with the aim of illustrating the effectiveness of capacitary methods in the most varied fields. The last two chapters are concerned with the theory of resolvents.The fourth and last part of the English edition will be devoted to the theory of Markov processes.
  • Philosophy of Medicine

    • 1st Edition
    • Volume 16
    • English
    This volume covers a wide range of conceptual, epistemological and methodological issues in the philosophy of science raised by reflection upon medical science and practice. Several chapters examine such general meta-scientific concepts as discovery, reduction, theories and models, causal inference and scientific realism as they apply to medicine or medical science in particular. Some discuss important concepts specific to medicine (diagnosis, health, disease, brain death). A topic such as evidence, for instance, is examined at a variety of levels, from social mechanisms for guiding evidence-based reasoning such as evidence-based medicine, consensus conferences, and clinical trials, to the more abstract analysis of experimentation, inference and uncertainty. Some chapters reflect on particular domains of medicine, including psychiatry, public health, and nursing. The contributions span a broad range of detailed cases from the science and practice of medicine, as well as a broad range of intellectual approaches, from conceptual analysis to detailed examinations of particular scientific papers or historical episodes.