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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.

BooksJournals

    • Graph Theory and Combinatorics 1988

      • 1st Edition
      • Volume 43
      • July 1, 1989
      • B. Bollobás
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 8 3 0
      Combinatorics has not been an established branch of mathematics for very long: the last quarter of a century has seen an explosive growth in the subject. This growth has been largely due to the doyen of combinatorialists, Paul Erdős, whose penetrating insight and insatiable curiosity has provided a huge stimulus for workers in the field. There is hardly any branch of combinatorics that has not been greatly enriched by his ideas.This volume is dedicated to Paul Erdős on the occasion of his seventy-fifth birthday.

    • Combinatorial Designs

      • 1st Edition
      • Volume 42
      • October 11, 1989
      • A. Hartman
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 8 2 3
      Haim Hanani pioneered the techniques for constructing designs and the theory of pairwise balanced designs, leading directly to Wilson's Existence Theorem. He also led the way in the study of resolvable designs, covering and packing problems, latin squares, 3-designs and other combinatorial configurations.The Hanani volume is a collection of research and survey papers at the forefront of research in combinatorial design theory, including Professor Hanani's own latest work on Balanced Incomplete Block Designs. Other areas covered include Steiner systems, finite geometries, quasigroups, and t-designs.

    • Variational Methods in Nonconservative Phenomena

      • 1st Edition
      • Volume 182
      • March 28, 1989
      • B. D. Vujanovic + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 3 9 9 4 5 5 4
      • eBook
        9 7 8 0 0 8 0 9 2 6 4 2 1
      This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include

    • Topics in General Topology

      • 1st Edition
      • Volume 41
      • August 4, 1989
      • K. Morita + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 0 9 4
      • eBook
        9 7 8 0 0 8 0 8 7 9 8 8 8
      Being an advanced account of certain aspects of general topology, the primary purpose of this volume is to provide the reader with an overview of recent developments.The papers cover basic fields such as metrization and extension of maps, as well as newly-developed fields like categorical topology and topological dynamics. Each chapter may be read independently of the others, with a few exceptions. It is assumed that the reader has some knowledge of set theory, algebra, analysis and basic general topology.

    • Graph Colouring and Variations

      • 1st Edition
      • Volume 39
      • January 1, 1989
      • D. de Werra + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 1 3 1
      • Hardback
        9 7 8 0 4 4 4 7 0 5 3 3 4
      • eBook
        9 7 8 0 0 8 0 8 6 7 7 9 3

    • Constructivism in Mathematics, Vol 2

      • 1st Edition
      • Volume 123
      • November 1, 1988
      • A.S. Troelstra + 1 more
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 7 1 0 4
      • Hardback
        9 7 8 0 4 4 4 7 0 3 5 8 3
      • eBook
        9 7 8 0 0 8 0 9 5 5 1 0 0
      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.

    • Planar Graphs

      • 1st Edition
      • Volume 32
      • April 1, 1988
      • T. Nishizeki + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 6 9 3 6
      • eBook
        9 7 8 0 0 8 0 8 6 7 7 4 8
      Collected in this volume are most of the important theorems and algorithms currently known for planar graphs, together with constructive proofs for the theorems. Many of the algorithms are written in Pidgin PASCAL, and are the best-known ones; the complexities are linear or 0(nlogn). The first two chapters provide the foundations of graph theoretic notions and algorithmic techniques. The remaining chapters discuss the topics of planarity testing, embedding, drawing, vertex- or edge-coloring, maximum independence set, subgraph listing, planar separator theorem, Hamiltonian cycles, and single- or multicommodity flows. Suitable for a course on algorithms, graph theory, or planar graphs, the volume will also be useful for computer scientists and graph theorists at the research level. An extensive reference section is included.

    • Real Reductive Groups I

      • 1st Edition
      • Volume 132
      • February 28, 1988
      • Nolan R. Wallach
      • English
      • Paperback
        9 7 8 0 1 2 3 9 9 4 5 9 2
      • eBook
        9 7 8 0 0 8 0 8 7 4 5 1 7
      Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.

    • Extreme Value Theory in Engineering

      • 1st Edition
      • August 28, 1988
      • Enrique Castillo
      • English
      • Paperback
        9 7 8 0 1 2 3 9 5 9 4 4 7
      • Hardback
        9 7 8 0 1 2 1 6 3 4 7 5 9
      • eBook
        9 7 8 0 0 8 0 9 1 7 2 5 2
      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.

    • Infinite-Dimensional Topology

      • 1st Edition
      • Volume 43
      • December 1, 1988
      • J. van Mill
      • English
      • Paperback
        9 7 8 0 4 4 4 8 7 1 3 4 3
      • Hardback
        9 7 8 0 4 4 4 8 7 1 3 3 6
      • eBook
        9 7 8 0 0 8 0 9 3 3 6 8 9
      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.

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