Skip to main content
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.

  • Initial-Boundary Value Problems and the Navier-Stokes Equations

    • 1st Edition
    • Volume 136
    • English

  • Clifford Theory for Group Representations

    • 1st Edition
    • Volume 156
    • G. Karpilovsky
    • English
    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.

  • Vertex Operator Algebras and the Monster

    • 1st Edition
    • Volume 134
    • Igor Frenkel + 2 more
    • English
    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."

  • Variational Methods in Nonconservative Phenomena

    • 1st Edition
    • Volume 182
    • B. D. Vujanovic + 1 more
    • English
    This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include

  • Handbook of Boolean Algebras

    • 1st Edition
    • Volume 2
    • Bozzano G Luisa
    • English

  • Infinite Crossed Products

    • 1st Edition
    • Volume 135
    • English

  • Logic-Based Decision Support

    Mixed Integer Model Formulation
    • 1st Edition
    • Volume 40
    • 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.

  • Topics in Field Theory

    • 1st Edition
    • Volume 155
    • 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.

  • Recent Topics in Nonlinear PDE IV

    • 1st Edition
    • Volume 160
    • English

  • Graph Colouring and Variations

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

Related subjects