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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.

    • Handbook of Mathematical Economics

      • 1st Edition
      • Volume 2
      • February 1, 1982
      • M.D. Intriligator + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 8 6 1 2 7 6
      • Paperback
        9 7 8 1 4 9 3 3 0 2 5 6 7
      • eBook
        9 7 8 0 0 8 0 9 3 3 5 9 7
      The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field.Volume 2 elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....
    • Nonlinear Problems: Present and Future

      • 1st Edition
      • Volume 61
      • January 1, 1982
      • A. Bishop + 2 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 4 8 3
      • eBook
        9 7 8 0 0 8 0 8 7 1 7 2 1
    • Spectral Analysis and Time Series, Two-Volume Set

      • 1st Edition
      • Volume 1-2
      • October 27, 1982
      • M. B. Priestley
      • English
      • Paperback
        9 7 8 0 1 2 5 6 4 9 2 2 3
      • eBook
        9 7 8 0 0 8 0 5 7 0 5 5 6
      A principal feature of this book is the substantial care and attention devoted to explaining the basic ideas of the subject. Whenever a new theoretical concept is introduced it is carefully explained by reference to practical examples drawn mainly from the physical sciences. Subjects covered include: spectral analysis which is closely intertwined with the "time domain" approach, elementary notions of Hilbert Space Theory, basic probability theory, and practical analysis of time series data. The inclusion of material on "kalman filtering", state-space filtering", "non-linear models" and continuous time" models completes the impressive list of unique and detailed features which will give this book a prominent position among related literature. The first section—Volume 1—deals with single (univariate) series, while the second—Volume 2—treats the analysis of several (multivariate) series and the problems of prediction, forecasting and control.
    • Shape Theory

      • 1st Edition
      • Volume 26
      • January 1, 1982
      • S. MardeÅ¡ic + 1 more
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 7 0 9 8
      • eBook
        9 7 8 0 0 8 0 9 6 0 1 4 2
      North-Holland Mathematical Library, Volume 26: Shape Theory: The Inverse System Approach presents a systematic introduction to shape theory by providing background materials, motivation, and examples, including shape theory and invariants, pro-groups, shape fibrations, and metric compacta. The publication first ponders on the foundations of shape theory and shape invariants. Discussions focus on the stability and movability of spaces, homotopy and homology pro-groups, shape dimension, inverse limits and shape of compacta, topological shape, and absolute neighborhood retracts. The text then takes a look at a survey of selected topics, including basic topological constructions and shape, shape dimension of metric compacta, complement theorems of shape theory, shape fibrations, and cell-like maps. The text ponders on polyhedra and Borsuk's approach to shape. Topics include shape category of metric compacta and metric pairs, homotopy type of polyhedra, and topology of simplicial complexes. The publication is a valuable source of data for researchers interested in the inverse system approach.