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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.

  • Introduction to Holomorphy

    • 1st Edition
    • Volume 106
    • J.A. Barroso
    • English
    This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.

  • Functional Analysis, Holomorphy and Approximation Theory

    • 1st Edition
    • Volume 71
    • J.A. Barroso
    • English

  • Concepts from Tensor Analysis and Differential Geometry by Tracy Y Thomas

    • 1st Edition
    • Volume 1
    • 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.

  • Summability Through Functional Analysis

    • 1st Edition
    • Volume 85
    • A. Wilansky
    • English
    Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

  • Topics in Functional Analysis over Valued Division Rings

    • 1st Edition
    • Volume 77
    • J.B. Prolla
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 15
    • Lev D. Beklemishev
    • English

  • Functional Analysis, Holomorphy and Approximation Theory II

    • 1st Edition
    • Volume 86
    • G.I. Zapata
    • English

  • Proceedings of the Second Scandinavian Logic Symposium

    • 1st Edition
    • Volume 63
    • Lev D. Beklemishev
    • English

  • Set Theory

    • 1st Edition
    • Volume 76
    • Lev D. Beklemishev
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 183
    • Demeter Krupka
    • English
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

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