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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.

  • Unified Integration

    • 1st Edition
    • Volume 107
    • December 1, 1983
    • English

  • Set Theory An Introduction To Independence Proofs

    • 1st Edition
    • Volume 102
    • December 1, 1983
    • K. Kunen
    • English
    Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.

  • Introduction to Interval Computation

    • 1st Edition
    • November 28, 1983
    • Gotz Alefeld + 1 more
    • English
    This book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions are still valid as are those concerning the arrangement and choice of material.

  • Algebra

    • 1st Edition
    • Volume 110
    • November 1, 1983
    • English

  • Observers for Linear Systems

    • 1st Edition
    • August 18, 1983
    • John O'Reilly
    • English
    My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.

  • Fundamentals of the Theory of Operator Algebras. V1

    Elementary Theory
    • 1st Edition
    • Volume 100I
    • June 29, 1983
    • English

  • Semi-Riemannian Geometry With Applications to Relativity

    • 1st Edition
    • Volume 103
    • June 28, 1983
    • Barrett O'Neill
    • English
    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.

  • Renormalization

    • 1st Edition
    • Volume 106
    • June 23, 1983
    • English

  • Riesz Spaces II

    • 1st Edition
    • Volume 30
    • May 1, 1983
    • A.C. Zaanen
    • English
    While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.

  • Vector Bundles - Vol 1

    Foundations and Stiefel - Whitney Classes
    • 1st Edition
    • Volume 101I
    • February 18, 1983
    • English

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