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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.

  • Graph Colouring and Variations

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

  • The Psychology of Learning and Motivation

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

  • Infinite-Dimensional Topology

    Prerequisites and Introduction
    • 1st Edition
    • Volume 43
    • 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.

  • Graph Theory in Memory of G.A. Dirac

    • 1st Edition
    • Volume 41
    • 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.

  • Statistical Reasoning in Law and Public Policy

    Tort Law, Evidence and Health
    • 1st Edition
    • Volume 2
    • 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.

  • Constructivism in Mathematics, Vol 2

    • 1st Edition
    • Volume 123
    • A.S. Troelstra + 1 more
    • English
    Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The text then examines proof theory of intuitionistic logic, theory of types and constructive set theory, and choice sequences. The book elaborates on semantical completeness, sheaves, sites, and higher-order logic, and applications of sheaf models. Topics include a derived rule of local continuity, axiom of countable choice, forcing over sites, sheaf models for higher-order logic, and complete Heyting algebras. The publication is a valuable reference for mathematicians and researchers interested in mathematics and logic.

  • General Theory of Markov Processes

    • 1st Edition
    • Volume 133
    • English

  • Introduction to Operator Theory and Invariant Subspaces

    • 1st Edition
    • Volume 42
    • B. Beauzamy
    • English
    This monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis. The book is self-contained, except for a few technical tools, for which precise references are given.Part I starts with finite-dimensional spaces and general spectral theory. But very soon (Chapter III), new material is presented, leading to new directions for research. Open questions are mentioned here. Part II concerns compactness and its applications, not only spectral theory for compact operators (Invariant Subspaces and Lomonossov's Theorem) but also duality between the space of nuclear operators and the space of all operators on a Hilbert space, a result which is seldom presented. Part III contains Algebra Techniques: Gelfand's Theory, and application to Normal Operators. Here again, directions for research are indicated. Part IV deals with analytic functions, and contains a few new developments. A simplified, operator-oriented, version is presented. Part V presents dilations and extensions: Nagy-Foias dilation theory, and the author's work about C1-contractions. Part VI deals with the Invariant Subspace Problem, with positive results and counter-examples.In general, much new material is presented. On the Invariant Subspace Problem, the level of research is reached, both in the positive and negative directions.

  • Extreme Value Theory in Engineering

    • 1st Edition
    • Enrique Castillo
    • English
    This book is a comprehensive guide to extreme value theory in engineering. Written for the end user with intermediate and advanced statistical knowledge, it covers classical methods as well as recent advances. A collection of 150 examples illustrates the theoretical results and takes the reader from simple applications through complex cases of dependence.

  • Unimodality, Convexity, and Applications

    • 1st Edition
    • English
    In this book, the basic notions and tools of unimodality as they relate to probability and statistics are presented. In addition, many applications are covered; these include the use of unimodality to obtain monotonicity properties of power functions of multivariate tests, minimum volume confidence regions, and recurrence of symmetric random walks. The diversity of the applications will convince the reader that unimodality and convexity form an important tool in the hands of a researcher in probability and statistics.

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