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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

    • Topics in Field Theory

      • 1st Edition
      • Volume 155
      • February 1, 1989
      • G. Karpilovsky
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 6 6 7
      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.

    • Clifford Theory for Group Representations

      • 1st Edition
      • Volume 156
      • May 1, 1989
      • G. Karpilovsky
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 6 7 4
      Let N be a normal subgroup of a finite group G and let F be a field. An important method for constructing irreducible FG-modules consists of the application (perhaps repeated) of three basic operations: (i) restriction to FN. (ii) extension from FN. (iii) induction from FN. This is the `Clifford Theory' developed by Clifford in 1937. In the past twenty years, the theory has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings and crossed products.The purpose of this monograph is to tie together various threads of the development in order to give a comprehensive picture of the current state of the subject. It is assumed that the reader has had the equivalent of a standard first-year graduate algebra course, i.e. familiarity with basic ring-theoretic, number-theoretic and group-theoretic concepts, and an understanding of elementary properties of modules, tensor products and fields.

    • Institutions and Applications

      • 1st Edition
      • December 28, 1989
      • David E. Rowe + 1 more
      • English
      • Hardback
        9 7 8 0 1 2 5 9 9 6 6 2 4
      • Paperback
        9 7 8 1 4 9 3 3 0 7 4 4 9
      • eBook
        9 7 8 0 0 8 0 9 2 5 4 6 2
      The History of Modern Mathematics, Volume II: Institutions and Applications focuses on the history and progress of methodologies, techniques, principles, and approaches involved in modern mathematics. The selection first elaborates on crystallographic symmetry concepts and group theory, case of potential theory and electrodynamics, and geometrization of analytical mechanics. Discussions focus on differential geometry and least action, intrinsic differential geometry, physically-motivated research in potential theory, introduction of potentials in electrodynamics, and group theory and crystallography in the mid-19th century. The text then elaborates on Schouten, Levi-Civita, and emergence of tensor calculus, modes and manners of applied mathematics, and pure and applied mathematics in divergent institutional settings in Germany. Topics include function of mathematics within technical colleges, evolvement of the notion of applied mathematics, rise of technical colleges, and an engineering approach to mechanics. The publication examines the transformation of numerical analysis by the computer; mathematics at the Berlin Technische Hochschule/Technisch... Universität; and contribution of mathematical societies to promoting applications of mathematics in Germany. The selection is a valuable reference for mathematicians and researchers interested in the history of modern mathematics.

    • Large Deviations

      • 1st Edition
      • Volume 137
      • June 21, 1989
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 5 7 9
      The first four chapters of this volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).

    • Scattering Theory for Hyperbolic Operators

      • 1st Edition
      • Volume 21
      • November 20, 1989
      • V. Petkov
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 3 2 9
      • eBook
        9 7 8 0 0 8 0 8 7 5 4 2 2
      Scattering Theory for dissipative and time-dependent systems has been intensively studied in the last fifteen years. The results in this field, based on various tools and techniques, may be found in many published papers.This monograph presents an approach which can be applied to spaces of both even and odd dimension. The ideas on which the approach is based are connected with the RAGE type theorem, with Enss' decomposition of the phase space and with a time-dependent proof of the existence of the operator W which exploits the decay of the local energy of the perturbed and free systems. Some inverse scattering problems for time-dependent potentials, and moving obstacles with an arbitrary geometry, are also treated in the book.

    • 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.

    • Geometry of Manifolds

      • 1st Edition
      • August 28, 1989
      • K. Shiohama
      • English
      • Hardback
        9 7 8 0 1 2 6 4 0 1 7 0 7
      • eBook
        9 7 8 0 0 8 0 9 2 5 7 8 3
      This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988. Carefully reviewed by a panel of experts, the papers pertain to the following areas of research: dynamical systems, geometry of submanifolds and tensor geometry, lie sphere geometry, Riemannian geometry, Yang-Mills Connections, and geometry of the Laplace operator.

    • Logic Colloquium '88

      • 1st Edition
      • Volume 127
      • August 4, 1989
      • R. Ferro + 3 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 8 7 6 7 8
      The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today.As well as selected papers, the two panel discussions are also included, on ``Trends in Logic'' and ``The Teaching of Logic''.

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