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Elsevier

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 Equations, Dynamical Systems, and Linear Algebra

    • 1st Edition
    • Morris W. Hirsch + 2 more
    • English
    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.

  • Automata, Languages, and Machines

    • 1st Edition
    • Volume 59A
    • English

  • RiemannÆs zeta function

    • 1st Edition
    • Volume 58
    • English

  • Convex functions

    • 1st Edition
    • Volume 57
    • English

  • Introduction to the Theory of Entire Functions

    • 1st Edition
    • Volume 56
    • English

  • 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.

  • A Course in Pure Mathematics

    • 1st Edition
    • Margaret Gow
    • English
    For students reading Mathematics, either as part of a general degree or as an ancilliary course for an Honours degree, the subject should be presented in as straightforward a manners as is consistent with a moderate standard of rigour. This course in algebra, co-ordinate geometry and calculus is designed to fulfil these requirements for students at Universities, Polytechnics and Colleges of Technology.The book contains 350 worked examples and 1550 practice examples selected mainly from university examination papers. The practice examples have been carefully graded and some hints are given with the answers so that the book may be used for private study as well as for class work.

  • 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.

  • 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

  • Illustrations in Applied Network Theory

    • 1st Edition
    • F. E. Rogers
    • English

  • Mathematical Methods in Theoretical Economics

    Topological and Vector Space Foundations of Equilibrium Analysis
    • 1st Edition
    • Erwin Klein
    • Karl Shell
    • English

  • An Introduction to Complex Analysis in Several Variables

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

  • Causality and Dispersion Relations

    • 1st Edition
    • Volume 95
    • Nussenzveig
    • English

  • Banach Algebra Techniques in Operator Theory

    • 1st Edition
    • Volume 49
    • English

  • Measure and Integration Theory on Infinite-Dimensional Spaces

    Abstract harmonic analysis
    • 1st Edition
    • Volume 48
    • English

  • Introduction to Compact Transformation Groups

    • 1st Edition
    • Volume 46
    • English

  • Simulation Statistical Foundations and Methodology

    • 1st Edition
    • Volume 92
    • 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.

  • Riccati Differential Equations

    • 1st Edition
    • Volume 86
    • Reid
    • English

  • Connections, Curvature, and Cohomology V1

    De Rham cohomology of manifolds and vector bundles
    • 1st Edition
    • Volume 47A
    • English

  • Markov Processes and Learning Models

    • 1st Edition
    • Volume 84
    • Norman
    • English

  • Integral Matrices

    • 1st Edition
    • Volume 45
    • English

  • A Mathematical Introduction to Logic

    • 1st Edition
    • Herbert B. Enderton
    • English
    This book gives a mathematical treatment of the basic ideas and results of logic. It is intended to serve as a textbook for an introductory mathematics course in logic at the junior-senior level. The objectives are to present the important concepts and theorems of logic and to explain their significance and their relationship to the reader's other mathematical work.

  • Ring Theory

    • 1st Edition
    • Volume 44
    • English

  • Methods of Intermediate Problems for Eigenvalues: Theory and Ramifications

    • 1st Edition
    • Volume 89
    • A. Weinstein + 1 more
    • 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.

  • Nonlinear Partial Differential Equations in Engineering by W F Ames

    • 1st Edition
    • Volume 18B
    • W. F. Ames
    • 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.

  • Dynamic Programming and Its Application to Optimal Control

    • 1st Edition
    • Volume 81
    • 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.

  • Multiplicative Theory of Ideals

    • 1st Edition
    • Volume 43
    • English

  • An Introduction to Transform Theory

    • 1st Edition
    • Volume 42
    • English

  • Logic, Automata, and Algorithms

    • 1st Edition
    • Volume 79
    • 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.

  • Adaptation and Learning in Automatic Systems

    • 1st Edition
    • Volume 73
    • Tsypkin
    • English

  • General Dynamical Processes: A Mathematical Introduction

    • 1st Edition
    • Volume 78
    • 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.

  • Integer Programming

    • 1st Edition
    • Volume 76
    • 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.

  • Numerical Solution of Ordinary Differential Equations

    • 1st Edition
    • Volume 74
    • 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.

  • Diakoptics and Networks

    • 1st Edition
    • Volume 69
    • Happ
    • English

  • The Padé Approximant in Theoretical Physics

    • 1st Edition
    • Volume 71
    • 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.

  • Digital Logic

    Basic Theory and Practice
    • 1st Edition
    • J. H. Smith
    • English

  • Hyperstatic Structures

    An Introduction to the Theory of Statically Indeterminate Structures
    • 2nd Edition
    • J. A. L. Matheson + 2 more
    • English

  • Introduction to Stochastic Control Theory

    • 1st Edition
    • Volume 70
    • 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.

  • Theory of H[superscript p] spaces

    • 1st Edition
    • Volume 38
    • English
    The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of viewhas suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling’s theorem on invariant subspaces, the Macintyre-Rogosinski... theory of extremal problems, interpolation theory, the dual space structure of HP with p < 1, HP spaces over general domains, and Carleson’s proof of the corona theorem. Some of the older results are proved by modern methods. In fact, the dominant theme of the book is the interplay of “ hard” and “ soft” analysis, the blending of classical and modern techniques and viewpoints.

  • Dimension Theory

    • 1st Edition
    • Volume 37
    • English

  • Methods of Nonlinear Analysis

    • 1st Edition
    • Volume 61A
    • Richard Bellman
    • 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.

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