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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.

  • Differential Manifolds and Theoretical Physics

    • 1st Edition
    • Volume 116
    • May 24, 1985
    • English

  • The Theory of Matrices

    With Applications
    • 2nd Edition
    • May 24, 1985
    • Peter Lancaster + 1 more
    • English
    In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.

  • Analysis and Design of Algorithms for Combinatorial Problems

    • 1st Edition
    • Volume 25
    • May 1, 1985
    • G. Ausiello + 1 more
    • English
    Combinatorial problems have been from the very beginning part of the history of mathematics. By the Sixties, the main classes of combinatorial problems had been defined. During that decade, a great number of research contributions in graph theory had been produced, which laid the foundations for most of the research in graph optimization in the following years. During the Seventies, a large number of special purpose models were developed.The impressive growth of this field since has been strongly determined by the demand of applications and influenced by the technological increases in computing power and the availability of data and software. The availability of such basic tools has led to the feasibility of the exact or well approximate solution of large scale realistic combinatorial optimization problems and has created a number of new combinatorial problems.

  • Equivalents of the Axiom of Choice, II

    • 1st Edition
    • Volume 116
    • March 1, 1985
    • H. Rubin + 1 more
    • English
    This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.

  • Cylindric Algebras

    • 1st Edition
    • Volume 115
    • February 1, 1985
    • Bozzano G Luisa
    • English
    Volume II completes the description of the main aspects of the theory, covering representation questions, model theory and decision problems for them, translations from logic to algebra and vice-versa, and relationships with other algebraic versions of logic.

  • Differential Algebraic Groups

    • 1st Edition
    • Volume 114
    • January 25, 1985
    • English

  • Algorithms in Combinatorial Design Theory

    • 1st Edition
    • Volume 26
    • January 1, 1985
    • C.J. Colbourn + 1 more
    • English
    The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.

  • Trends in the Theory and Practice of Non-Linear Analysis

    Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984
    • 1st Edition
    • Volume 110
    • January 1, 1985
    • English

  • Recent Progress in Fourier Analysis

    • 1st Edition
    • Volume 111
    • January 1, 1985
    • I. Peral + 1 more
    • English

  • Singularities & Dynamical Systems

    • 1st Edition
    • Volume 103
    • January 1, 1985
    • S.N. Pnevmatikos
    • English
    This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests.

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