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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.

  • IV: Analysis of Operators

    • 1st Edition
    • Volume 4
    • Michael Reed + 1 more
    • English
    BESTSELLER of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical PhysicsThis revision will make this book mroe attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathemtical physics.
  • Invariant Variational Principles

    • 1st Edition
    • Volume 138
    • Logan
    • English
  • Differential Equations and Applications

    Proceedings of the Third Scheveningen Conference on Differential Equations, the Netherlands, August 29-September 2, 1977
    • 1st Edition
    • Volume 31
    • English
  • Studies in Foundations and Combinatorics

    • 1st Edition
    • Gian-Carlo Rota
    • English
  • 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
  • Algorithmic Aspects of Combinatorics

    • 1st Edition
    • B. Alspach + 2 more
    • English
  • Moving Boundary Problems

    • 1st Edition
    • D. G. Wilson + 2 more
    • English
  • Asymptotic Analysis for Periodic Structures

    • 1st Edition
    • Volume 5
    • G. Papanicolau + 2 more
    • English
  • 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.
  • 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.
  • 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
  • Functional Analysis: Surveys and Recent Results

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

    • 1st Edition
    • N. A. J. Hastings + 1 more
    • English
  • Computers in Laboratory Medicine

    • 1st Edition
    • Derek Enlander
    • English
  • Hewitt-Nachbin Spaces

    • 1st Edition
    • Volume 17
    • English
  • Computer Concepts and Assembler Programming

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