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Elsevier

Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

  • Nuclear and Conuclear Spaces

    • 1st Edition
    • Volume 52
    • H. Hogbe-Nlend + 1 more
    • English

  • Second Order Linear Differential Equations in Banach Spaces

    • 1st Edition
    • Volume 108
    • H.O. Fattorini
    • English
    Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbation of parabolic, hyperbolic and Schrödinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem.

  • Mathematicians and Their Times

    • 1st Edition
    • Volume 48
    • L. Young
    • English

  • Differential Calculus and Holomorphy

    Real and Complex Analysis in Locally Convex Spaces
    • 1st Edition
    • Volume 64
    • J.F. Colombeau
    • English

  • Transmutation Theory and Applications

    • 1st Edition
    • Volume 117
    • R. Carroll
    • English

  • Applications of Variational Inequalities in Stochastic Control

    • 1st Edition
    • Volume 12
    • A. Bensoussan + 1 more
    • English

  • 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.

  • Convex Cones

    • 1st Edition
    • Volume 56
    • B. Fuchssteiner + 1 more
    • English

  • Elementary Introduction to New Generalized Functions

    • 1st Edition
    • Volume 113
    • J.F. Colombeau
    • English
    The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.

  • Probabilities and Potential, B

    Theory of Martingales
    • 1st Edition
    • Volume 72
    • C. Dellacherie + 1 more
    • English

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