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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.

  • Quo Vadis, Graph Theory?

    A Source Book for Challenges and Directions
    • 1st Edition
    • Volume 55
    • March 17, 1993
    • J. Gimbel + 2 more
    • English
    Graph Theory (as a recognized discipline) is a relative newcomer to Mathematics. The first formal paper is found in the work of Leonhard Euler in 1736. In recent years the subject has grown so rapidly that in today's literature, graph theory papers abound with new mathematical developments and significant applications.As with any academic field, it is good to step back occasionally and ask Where is all this activity taking us?, What are the outstanding fundamental problems?, What are the next important steps to take?. In short, Quo Vadis, Graph Theory?. The contributors to this volume have together provided a comprehensive reference source for future directions and open questions in the field.

  • Delay Differential Equations

    With Applications in Population Dynamics
    • 1st Edition
    • Volume 191
    • March 5, 1993
    • Yang Kuang
    • English
    Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.

  • Dimension and Extensions

    • 1st Edition
    • Volume 48
    • January 28, 1993
    • 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.

  • Differential Equations with Mathematica

    • 1st Edition
    • January 1, 1993
    • Martha L Abell + 1 more
    • English

  • VMEbus

    A Practical Companion
    • 1st Edition
    • January 1, 1993
    • Steve Heath
    • English

  • Managing Information

    For Continual Improvement
    • 1st Edition
    • January 1, 1993
    • David A. Wilson
    • English

  • Newnes C++ Pocket Book

    • 1st Edition
    • January 1, 1993
    • Conor Sexton
    • English

  • Prince

    A Practical Handbook
    • 1st Edition
    • January 1, 1993
    • Ken Bradley
    • English

  • Statistical Methods

    • 1st Edition
    • January 1, 1993
    • Rudolf J. Freund + 1 more
    • English

  • Virtual Reality

    Applications and Explorations
    • 1st Edition
    • January 1, 1993
    • Alan Wexelblat
    • English

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