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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

    • Stability and Periodic Solutions of Ordinary and Functional Differential Equations

      • 1st Edition
      • Volume 178
      • December 19, 1985
      • T. A. Burton
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 8 6 7 5
      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.

    • An Introduction to Nonstandard Real Analysis

      • 1st Edition
      • Volume 118
      • October 1, 1985
      • Albert E. Hurd + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 4 0 1 5 0 8 1
      • eBook
        9 7 8 0 0 8 0 8 7 4 3 7 1
      The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models.

    • Algorithms in Combinatorial Design Theory

      • 1st Edition
      • Volume 26
      • January 1, 1985
      • C.J. Colbourn + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 1 0 7
      • Hardback
        9 7 8 0 4 4 4 8 7 8 0 2 1
      • eBook
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      The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.

    • Theory of Multiobjective Optimization

      • 1st Edition
      • Volume 176
      • September 19, 1985
      • Yoshikazu Sawaragi + 2 more
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 8 6 6 8
      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.

    • Recent Progress in Fourier Analysis

      • 1st Edition
      • Volume 111
      • January 1, 1985
      • I. Peral + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 0 8 4
      • eBook
        9 7 8 0 0 8 0 8 7 2 2 2 3

    • Harvey Friedman's Research on the Foundations of Mathematics

      • 1st Edition
      • Volume 117
      • November 1, 1985
      • L.A. Harrington + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 1 6 9
      • eBook
        9 7 8 0 0 8 0 9 6 0 4 0 1
      This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers.

    • Cycles in Graphs

      • 1st Edition
      • Volume 27
      • August 1, 1985
      • B.R. Alspach + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 1 1 4
      • Hardback
        9 7 8 0 4 4 4 8 7 8 0 3 8
      • eBook
        9 7 8 0 0 8 0 8 7 2 2 6 1
      This volume deals with a variety of problems involving cycles in graphs and circuits in digraphs. Leading researchers in this area present here 3 survey papers and 42 papers containing new results. There is also a collection of unsolved problems.

    • Complex Analysis in Banach Spaces

      • 1st Edition
      • Volume 120
      • November 1, 1985
      • J. Mujica
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 1 9 0
      • eBook
        9 7 8 0 0 8 0 8 7 2 3 1 5
      Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely many variables, and constitute one of the most promising lines of research in infinite dimensional complex analysis. This book presents a unified view of these topics in both finite and infinite dimensions.

Related subjects

Mathematics and applied mathematics

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