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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.

  • Algebraic Number Fields

    • 1st Edition
    • Volume 55
    • English

  • Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding

    • 1st Edition
    • Volume 100
    • English
    In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

  • Differential Algebra & Algebraic Groups

    • 1st Edition
    • Volume 54
    • English

  • Homology theory

    An introduction to algebraic topology
    • 1st Edition
    • Volume 53
    • English

  • Introduction to Matrix Computations

    • 1st Edition
    • G. W. Stewart
    • English
    Numerical linear algebra is far too broad a subject to treat in a single introductory volume. Stewart has chosen to treat algorithms for solving linear systems, linear least squares problems, and eigenvalue problems involving matrices whose elements can all be contained in the high-speed storage of a computer. By way of theory, the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem. These choices exclude, among other things, the solution of large sparse linear systems by direct and iterative methods, linear programming, and the useful Perron-Frobenious theory and its extensions. However, a person who has fully mastered the material in this book should be well prepared for independent study in other areas of numerical linear algebra.

  • Graph Theory in Modern Engineering: Computer Aided Design, Control, Optimization, Reliability Analysis

    • 1st Edition
    • Volume 98
    • Henley
    • English

  • Topological embeddings

    • 1st Edition
    • Volume 52
    • English

  • Symmetry Groups and Their Applications

    • 1st Edition
    • Volume 50
    • English

  • Ope¦rateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert

    • 1st Edition
    • Volume 5
    • English

  • An Introduction to Complex Analysis in Several Variables

    • 2nd Edition
    • Volume 7
    • L. Hormander
    • English

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