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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

    • Minimal Surfaces of Codimension One

      • 1st Edition
      • Volume 91
      • April 1, 2000
      • U. Massari + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 8 1 0
      • eBook
        9 7 8 0 0 8 0 8 7 2 0 2 5
      This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem.The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems.

    • The Mathematical Theory of Knots and Braids

      • 1st Edition
      • Volume 82
      • April 1, 2000
      • S. Moran
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 7 4 2
      • eBook
        9 7 8 0 0 8 0 8 7 1 9 3 6
      This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is placed on covering the theory in an algebraic way. The work includes quite a number of worked examples. The latter part of the book is devoted to previously unpublished material.

    • Proof Theory

      • 1st Edition
      • Volume 81
      • April 1, 2000
      • Lev D. Beklemishev
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 4 9 1 2

    • Comparison and Oscillation Theory of Linear Differential Equations by C A Swanson

      • 1st Edition
      • Volume 48
      • April 1, 2000
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 5 5 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.

    • Axiomatic Set Theory

      • 1st Edition
      • Volume 21
      • April 1, 2000
      • Lev D. Beklemishev
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 7 4 1 8

    • Algebra of Proofs

      • 1st Edition
      • Volume 88
      • April 1, 2000
      • Lev D. Beklemishev
      • English
      • eBook
        9 7 8 0 0 8 0 9 5 4 9 7 4

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