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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.

    • Semi-Riemannian Geometry With Applications to Relativity

      • 1st Edition
      • Volume 103
      • June 28, 1983
      • Barrett O'Neill
      • English
      • Paperback
        9 7 8 0 1 2 3 9 9 4 6 1 5
      • Hardback
        9 7 8 0 1 2 5 2 6 7 4 0 3
      • eBook
        9 7 8 0 0 8 0 5 7 0 5 7 0
      This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.
    • Unified Integration

      • 1st Edition
      • Volume 107
      • December 1, 1983
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 2 6 5
    • Mathematical Methods of Game and Economic Theory

      • 2nd Edition
      • Volume 7
      • July 1, 1982
      • J.-P. Aubin
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 5 2 8 6
      This book presents a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis. It not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.
    • Linear Orderings

      • 1st Edition
      • Volume 98
      • June 1, 1982
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 1 4 2