Skip to main content
Elsevier
View Cart
My account

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

    • 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).

    • Topological Fields

      • 1st Edition
      • Volume 157
      • June 1, 1989
      • S. Warner
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 6 8 1
      Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields).The reader is given enough background to tackle the current literature without undue additional preparation. Many results not in the text (and many illustrations by example of theorems in the text) are included among the exercises. Sufficient hints for the solution of the exercises are offered so that solving them does not become a major research effort for the reader. A comprehensive bibliography completes the volume.

    • Logic-Based Decision Support

      • 1st Edition
      • Volume 40
      • February 1, 1989
      • R.G. Jeroslow
      • English
      • eBook
        9 7 8 0 0 8 0 8 6 7 8 0 9
      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.

    • Computability, Complexity, Logic

      • 1st Edition
      • Volume 128
      • July 1, 1989
      • E. Börger
      • English
      • eBook
        9 7 8 0 0 8 0 8 8 7 0 4 3
      The theme of this book is formed by a pair of concepts: the concept of formal language as carrier of the precise expression of meaning, facts and problems, and the concept of algorithm or calculus, i.e. a formally operating procedure for the solution of precisely described questions and problems.The book is a unified introduction to the modern theory of these concepts, to the way in which they developed first in mathematical logic and computability theory and later in automata theory, and to the theory of formal languages and complexity theory. Apart from considering the fundamental themes and classical aspects of these areas, the subject matter has been selected to give priority throughout to the new aspects of traditional questions, results and methods which have developed from the needs or knowledge of computer science and particularly of complexity theory.It is both a textbook for introductory courses in the above-mentioned disciplines as well as a monograph in which further results of new research are systematically presented and where an attempt is made to make explicit the connections and analogies between a variety of concepts and constructions.

    • Vertex Operator Algebras and the Monster

      • 1st Edition
      • Volume 134
      • March 28, 1989
      • Igor Frenkel + 2 more
      • English
      • Hardback
        9 7 8 0 1 2 2 6 7 0 6 5 7
      • Paperback
        9 7 8 0 1 2 3 9 9 4 5 4 7
      • eBook
        9 7 8 0 0 8 0 8 7 4 5 4 8
      This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."

    • 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.

    • 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''.

    • 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.

Related subjects

Mathematics and applied mathematics

Statistics and probability