Skip to main content
View Cart

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

    • Syntactic Methods in Pattern Recognition

      • 1st Edition
      • Volume 112
      • 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.

    • Geomathematics

      Mathematical Background and Geo-Science Applications
      • 1st Edition
      • F.P. Agterberg
      • English
      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.

    • Foundations of Set Theory

      • 2nd Edition
      • Volume 67
      • A.A. Fraenkel + 2 more
      • English
      Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.

    • 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.

    • 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.

Related subjects

Mathematics and applied mathematics

Statistics and probability