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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.

BooksJournals

    • The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order

      • 1st Edition
      • Volume 111
      • June 28, 1974
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 6 2 0 6
      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.

    • Convex functions

      • 1st Edition
      • Volume 57
      • February 8, 1974
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 7 2 5

    • Differential Equations, Dynamical Systems, and Linear Algebra

      • 1st Edition
      • June 28, 1974
      • Morris W. Hirsch + 2 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 7 6 3
      This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.

    • Nonlinear Processes in Engineering

      • 1st Edition
      • Volume 110
      • September 20, 1974
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 6 1 9 0
      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.

    • Geomathematics

      • 1st Edition
      • January 1, 1974
      • F.P. Agterberg
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 9 3 8 4
      • eBook
        9 7 8 1 4 8 3 2 5 6 9 4 8
      Developments in Geomathematics, 1: Geomathematics: Mathematical Background and Geo-Science Applications focuses on advanced concepts in petrology, economic geology, sedimentology, and structural geology. The publication first elaborates on the use of mathematical models in geology, review of calculus, and elementary matrices. Discussions focus on spectral components of a matrix, canonical form, eigenvalues, and eigenvectors, linear equations, method of pivotal condensation, determinants, differential calculus, complex numbers, scientific methods in geology, and mathematical techniques in use. The book also ponders on geometry, factor analysis, probability and statistics, and frequency distributions and functions of independent random variables. Topics include probability generating functions, maximum likelihood and other methods of estimation, age determinations for structural provinces in the Canadian shield, discrete and continuous frequency distributions, calculus of probabilities, and binomial distribution. The text examines spatial variability of multivariate systems, calculation of preferred orientations from vectorial data, and multivariate stochastic process-models with applications to the petrology of basalts. The publication is best recommended for advanced geology students, research workers, and teachers with an interest in using mathematical techniques for problem-solving.

    • Random Integral Equations with Applications to Life Sciences and Engineering

      • 1st Edition
      • Volume 108
      • August 20, 1974
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 6 1 7 6
      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.

Related subjects

Mathematics and applied mathematics

Statistics and probability