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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.

  • Bornologies and Functional Analysis

    Introductory course on the theory of duality topology-bornology and its use in functional analysis
    • 1st Edition
    • Volume 26
    • English

  • The Theory of Gambling and Statistical Logic

    • 1st Edition
    • Richard A. Epstein
    • English

  • Proceedings of the Conference on Stochastic Differential Equations and Applications

    • 1st Edition
    • J. David Mason
    • English

  • A Course in Mathematical Logic

    • 1st Edition
    • J.L. Bell + 1 more
    • English
    A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.

  • Ergodic Theory and Topological Dynamics

    • 1st Edition
    • Volume 70
    • English

  • Quantum Detection and Estimation Theory

    • 1st Edition
    • Volume 123
    • Helstrom
    • English

  • Spectral Synthesis

    • 1st Edition
    • Volume 66
    • English

  • Automata, Languages, and Machines

    • 1st Edition
    • Volume 59B
    • English

  • Mathematical Cosmology and Extragalactic Astronomy

    • 1st Edition
    • Volume 68
    • English

  • Theory of Optimal Search

    • 1st Edition
    • Volume 118
    • 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.

  • Hopf Spaces

    • 1st Edition
    • Volume 22
    • English

  • Convex analysis and variational problems

    • 1st Edition
    • Volume 1
    • English

  • New Developments in Differential Equations

    Proceedings of the Second Scheveningen Conference on Differential Equations, the Netherlands, August 25-29, 1975
    • 1st Edition
    • Volume 21
    • English

  • Calculus of Variations and Control Theory

    Proceedings of a Symposium Conducted by the Mathematics Research Center, The University of Wisconsin - Madison September 22-24, 1975
    • 1st Edition
    • David L. Russell
    • English

  • Homotopy Theory: An Introduction to Algebraic Topology

    • 1st Edition
    • Volume 64
    • English

  • An Introduction to Group Representation Theory

    • 1st Edition
    • Volume 116
    • 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.

  • Singular Optimal Control Problems

    • 1st Edition
    • Volume 117
    • 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.

  • II: Fourier Analysis, Self-Adjointness

    • 1st Edition
    • Volume 2
    • Michael Reed + 1 more
    • English
    This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we give a very thorough discussion of the mathematical techniques and applications in quatum mechanics, but provide only an introduction to the problems arising in quantum field theory, classical mechanics, and partial differential equations. Finally, some of the material developed in this volume will not find applications until Volume III. For all these reasons, this volume contains a great variety of subject matter. To help the reader select which material is important for him, we have provided a "Reader's Guide" at the end of each chapter.

  • Sobolev Spaces

    • 1st Edition
    • Volume 65
    • English

  • An introduction to differentiable manifolds and Riemannian geometry

    • 1st Edition
    • Volume 63
    • English

  • Basic Linear Partial Differential Equations

    • 1st Edition
    • François Treves
    • English

  • A First Course in Stochastic Processes

    • 2nd Edition
    • Samuel Karlin + 1 more
    • English
    The purpose, level, and style of this new edition conform to the tenets set forth in the original preface. The authors continue with their tack of developing simultaneously theory and applications, intertwined so that they refurbish and elucidate each other. The authors have made three main kinds of changes. First, they have enlarged on the topics treated in the first edition. Second, they have added many exercises and problems at the end of each chapter. Third, and most important, they have supplied, in new chapters, broad introductory discussions of several classes of stochastic processes not dealt with in the first edition, notably martingales, renewal and fluctuation phenomena associated with random sums, stationary stochastic processes, and diffusion theory.

  • General Systems Theory: Mathematical Foundations

    • 1st Edition
    • Volume 113
    • 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.

  • Localization of Nilpotent Groups and Spaces

    • 1st Edition
    • Volume 15
    • English

  • Statistical Distributions

    • 1st Edition
    • N. A. J. Hastings + 1 more
    • English

  • Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient

    • 1st Edition
    • Volume 18
    • English

  • Hewitt-Nachbin Spaces

    • 1st Edition
    • Volume 17
    • English

  • Basic linear partial differential equations

    • 1st Edition
    • Volume 62
    • English

  • Computer Concepts and Assembler Programming

    360/370 Systems
    • 1st Edition
    • Richard H. Stark + 1 more
    • English

  • Computers in Laboratory Medicine

    • 1st Edition
    • Derek Enlander
    • English

  • Noneuclidean Tesselations and Their Groups

    • 1st Edition
    • Volume 61
    • English

  • Nonlinear Processes in Engineering

    • 1st Edition
    • Volume 110
    • 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.

  • Random Integral Equations with Applications to Life Sciences and Engineering

    • 1st Edition
    • Volume 108
    • 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.

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

    • 1st Edition
    • Volume 111
    • 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 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.

  • 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.

  • 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.

  • 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

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