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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.

BooksJournals

    • Functional Analysis in Modern Applied Mathematics

      • 1st Edition
      • Volume 132
      • August 24, 1977
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 6 4 1 1
      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
      • April 28, 1977
      • Herbert B. Enderton
      • English
      • Paperback
        9 7 8 0 1 2 3 9 5 8 1 2 9
      • Hardback
        9 7 8 0 1 2 2 3 8 4 4 0 0
      • eBook
        9 7 8 0 0 8 0 5 7 0 4 2 6
      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.

    • Statistical Methods for Social Scientists

      • 1st Edition
      • January 28, 1977
      • Eric A. Hanushek + 1 more
      • Peter H. Rossi
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 0 5 9 4
      • Hardback
        9 7 8 0 1 2 3 2 4 3 5 0 8
      • eBook
        9 7 8 0 0 8 0 9 1 8 5 7 0
      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.

    • A Course in Mathematical Logic

      • 1st Edition
      • January 1, 1977
      • J.L. Bell + 1 more
      • English
      • Hardback
        9 7 8 0 7 2 0 4 2 8 4 4 5
      • Paperback
        9 7 8 1 4 9 3 3 0 2 8 1 9
      • eBook
        9 7 8 0 0 8 0 9 3 4 7 4 7
      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.

    • System Identification Advances and Case Studies

      • 1st Edition
      • Volume 126
      • February 21, 1977
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 6 3 5 0
      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.

Related subjects

Mathematics and applied mathematics

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