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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.

  • Dimension and Extensions

    • 1st Edition
    • Volume 48
    • J.M. Aarts + 1 more
    • English
    Two types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed, which have been grouped into the two extension problems. The first concerns the extending of spaces, the second concerns extending the theory of dimension by replacing the empty space with other spaces.The problem of de Groot concerned compactifications of spaces by means of an adjunction of a set of minimal dimension. This minimal dimension was called the compactness deficiency of a space. Early success in 1942 lead de Groot to invent a generalization of the dimension function, called the compactness degree of a space, with the hope that this function would internally characterize the compactness deficiency which is a topological invariant of a space that is externally defined by means of compact extensions of a space. From this, the two extension problems were spawned.With the classical dimension theory as a model, the inductive, covering and basic aspects of the dimension functions are investigated in this volume, resulting in extensions of the sum, subspace and decomposition theorems and theorems about mappings into spheres. Presented are examples, counterexamples, open problems and solutions of the original and modified compactification problems.

  • Managing Information

    For Continual Improvement
    • 1st Edition
    • David A. Wilson
    • English

  • All-In-1

    Integrating Applications in V3.0
    • 1st Edition
    • John Rhoton
    • English
    All-In-1

  • Statistical Methods

    • 1st Edition
    • Rudolf J. Freund + 1 more
    • English

  • Newnes C++ Pocket Book

    • 1st Edition
    • Conor Sexton
    • English

  • VMEbus

    A Practical Companion
    • 1st Edition
    • Steve Heath
    • English

  • Differential Equations with Mathematica

    • 1st Edition
    • Martha L Abell + 1 more
    • English

  • Prince

    A Practical Handbook
    • 1st Edition
    • Ken Bradley
    • English

  • Virtual Reality

    Applications and Explorations
    • 1st Edition
    • Alan Wexelblat
    • English

  • Differential Manifolds

    • 1st Edition
    • Volume 138
    • Antoni A. Kosinski
    • English
    Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study.

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