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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.

  • Contemporary Developments in Continuum Mechanics and Partial Differential Equations

    Proceedings of the International Symposium on Continuum Mechanics and Partial Differential Equations, Rio de Janeiro, August 1977
    • 1st Edition
    • Volume 30
    • English

  • Asymptotic Analysis for Periodic Structures

    • 1st Edition
    • Volume 5
    • G. Papanicolau + 2 more
    • English

  • Studies in Foundations and Combinatorics

    • 1st Edition
    • Gian-Carlo Rota
    • English

  • Nonlinearity and Functional Analysis

    Lectures on Nonlinear Problems in Mathematical Analysis
    • 1st Edition
    • Melvyn S. Berger
    • English
    Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences. This volume comprises six chapters and begins by presenting some background material, such as differential-geometr... sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings. This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.

  • Functional Analysis in Modern Applied Mathematics

    • 1st Edition
    • Volume 132
    • 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.

  • Elements of Set Theory

    • 1st Edition
    • Herbert B. Enderton
    • English
    This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

  • Probability Methods for Approximations in Stochastic Control and for Elliptic Equations

    • 1st Edition
    • Volume 129
    • Kushner
    • English

  • Modular Representations of Finite Groups

    • 1st Edition
    • Volume 73
    • English

  • System Identification Advances and Case Studies

    • 1st Edition
    • Volume 126
    • 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.

  • Statistical Methods for Social Scientists

    • 1st Edition
    • Eric A. Hanushek + 1 more
    • Peter H. Rossi
    • English
    The aspects of this text which we believe are novel, at least in degree, include: an effort to motivate different sections with practical examples and an empirical orientation; an effort to intersperse several easily motivated examples throughout the book and to maintain some continuity in these examples; and the extensive use of Monte Carlo simulations to demonstrate particular aspects of the problems and estimators being considered. In terms of material being presented, the unique aspects include the first chapter which attempts to address the use of empirical methods in the social sciences, the seventh chapter which considers models with discrete dependent variables and unobserved variables. Clearly these last two topics in particular are quite advanced--more advanced than material that is currently available on the subject. These last two topics are also currently experiencing rapid development and are not adequately described in most other texts.

  • Singular and Degenerate Cauchy Problems

    • 1st Edition
    • Volume 127
    • 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.

  • Introduction to the Theory of Infiniteseimals

    • 1st Edition
    • Volume 72
    • 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.

  • Bornologies and Functional Analysis

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

  • Functional Analysis: Surveys and Recent Results

    Proceedings of the Conference on Functional Analysis, Paderborn, Germany, November 17-21, 1976
    • 1st Edition
    • Volume 27
    • English

  • Infinite Dimensional Holomorphy and Applications

    • 1st Edition
    • Volume 12
    • English

  • Proceedings of the Conference on Stochastic Differential Equations and Applications

    • 1st Edition
    • J. David Mason
    • English

  • The Theory of Gambling and Statistical Logic

    • 1st Edition
    • Richard A. Epstein
    • English

  • 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

  • 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.

  • 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

  • Computers in Laboratory Medicine

    • 1st Edition
    • Derek Enlander
    • English

  • Statistical Distributions

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

  • Computer Concepts and Assembler Programming

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

  • Basic linear partial differential equations

    • 1st Edition
    • Volume 62
    • English

  • Localization of Nilpotent Groups and Spaces

    • 1st Edition
    • Volume 15
    • 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

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