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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.

  • Handbook of Boolean Algebras

    • 1st Edition
    • Volume 2
    • March 1, 1989
    • Bozzano G Luisa
    • English

  • Topics in Field Theory

    • 1st Edition
    • Volume 155
    • February 1, 1989
    • G. Karpilovsky
    • English
    This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods.Avoiding excessive technical detail, the book is intended for the student who has completed the equivalent of a standard first-year graduate algebra course. Thus it is assumed that the reader is familiar with basic ring-theoretic and group-theoretic concepts. A chapter on algebraic preliminaries is included, as well as a fairly large bibliography of works which are either directly relevant to the text or offer supplementary material of interest.

  • Logic-Based Decision Support

    Mixed Integer Model Formulation
    • 1st Edition
    • Volume 40
    • February 1, 1989
    • R.G. Jeroslow
    • English
    This monograph is based on a series of lectures given by the author at the first Advanced Research Institute on Discrete Applied Mathematics, held at Rutgers University. It emphasizes connections between the representational aspects of mixed integer programming and applied logic, as well as discussing logic-based approaches to decision support which help to create more `intelligent' systems. Dividing naturally into two parts, the first four chapters are an overview of mixed-integer programming representability techniques. This is followed by five chapters on applied logic, expert systems, logic and databases, and complexity theory. It concludes with a summary of open research issues and an attempt to extrapolate trends in this rapidly developing area.

  • Graph Colouring and Variations

    • 1st Edition
    • Volume 39
    • January 1, 1989
    • D. de Werra + 1 more
    • English

  • Recent Topics in Nonlinear PDE IV

    • 1st Edition
    • Volume 160
    • January 1, 1989
    • English

  • Coordinating User Interfaces for Consistency

    • 1st Edition
    • January 1, 1989
    • Jakob Nielsen
    • English

  • The Psychology of Learning and Motivation

    Advances in Research and Theory
    • 1st Edition
    • January 1, 1989
    • Robert D. Hawkins + 1 more
    • English

  • Graph Theory in Memory of G.A. Dirac

    • 1st Edition
    • Volume 41
    • December 1, 1988
    • L. Døvling Andersen + 4 more
    • English
    This volume is a tribute to the life and mathematical work of G.A. Dirac (1925-1984). One of the leading graph theorists, he developed methods of great originality and made many fundamental discoveries.The forty-two papers are all concerned with (or related to) Dirac's main lines of research. A number of mathematicians pay tribute to his memory by presenting new results in different areas of graph theory. Among the topics included are paths and cycles, hamiltonian graphs, vertex colouring and critical graphs, graphs and surfaces, edge-colouring, and infinite graphs.Some of the papers were originally presented at a meeting held in Denmark in 1985. Attendance being by invitation only, some 55 mathematicians from 14 countries participated in various lectures and discussions on graph theory related to the work of Dirac. This volume contains contributions from others as well, so should not be regarded only as the proceedings of that meeting. A problems section is included, as well as a listing of Dirac's own publications.

  • Infinite-Dimensional Topology

    Prerequisites and Introduction
    • 1st Edition
    • Volume 43
    • December 1, 1988
    • J. van Mill
    • English
    The first part of this book is a text for graduate courses in topology. In chapters 1 - 5, part of the basic material of plane topology, combinatorial topology, dimension theory and ANR theory is presented. For a student who will go on in geometric or algebraic topology this material is a prerequisite for later work. Chapter 6 is an introduction to infinite-dimensional topology; it uses for the most part geometric methods, and gets to spectacular results fairly quickly. The second part of this book, chapters 7 & 8, is part of geometric topology and is meant for the more advanced mathematician interested in manifolds. The text is self-contained for readers with a modest knowledge of general topology and linear algebra; the necessary background material is collected in chapter 1, or developed as needed.One can look upon this book as a complete and self-contained proof of Toruńczyk's Hilbert cube manifold characterization theorem: a compact ANR X is a manifold modeled on the Hilbert cube if and only if X satisfies the disjoint-cells property. In the process of proving this result several interesting and useful detours are made.

  • Statistical Reasoning in Law and Public Policy

    Tort Law, Evidence and Health
    • 1st Edition
    • Volume 2
    • November 28, 1988
    • Joseph L. Gastwirth
    • English
    To reach reasoned decisions involving issues of public policy and law, statistical data and studies often need to be assessed for their accuracy and relevance. This two-volume set presents a unique and comprehensive treatment of statistical methods in legal practice. Designed to serve as a text or reference, the book presents basic concepts of probability and statistical inference applied to actual data arising from court cases concerning discrimination, trademark evidence, environmental and occupational exposure to toxic chemicals, and related health and safety topics. Substantial attention is devoted to assessing the strengths and weaknesses of statistical studies, with examples illustrating why some health studies may not have been properly designed at the outset and how actual decisions might have been reversed had more appropriate analysis of data been available to the court. This book will be of interest to lawyers and other practitioners of the law, as well as to students and researchers in the areas of statistics, statistical economics, political science, and law.

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