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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.

  • Induced Modules over Group Algebras

    • 1st Edition
    • Volume 161
    • G. Karpilovsky
    • English
    In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group. This construction proved to be of fundamental importance and is one of the basic tools in the entire theory of group representations.This monograph is designed for research mathematicians and advanced graduate students and gives a picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area.After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings.

  • Scattering Theory, Revised Edition

    • 1st Edition
    • Volume 26
    • Peter D. Lax + 1 more
    • English
    This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.

  • An Introduction to Complex Analysis in Several Variables

    • 3rd Edition
    • Volume 7
    • L. Hormander
    • English
    A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool. The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' ``fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L2 techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities.

  • The VMS User's Guide

    • 1st Edition
    • James F. Peters + 1 more
    • English
    The VMS User's Guide

  • Automorphic Forms, Shimura Varieties, and L-functions

    Proceedings of a Conference held at the University of Michigan, Ann Arbor, July 6-16, 1988
    • 1st Edition
    • Laurent Clozel + 1 more
    • English

  • X Window System Toolkit

    The Complete Programmer's Guide and Specification
    • 1st Edition
    • Paul J. Asente + 1 more
    • English
    X Window System Toolkit

  • Passive Components

    A User's Guide
    • 1st Edition
    • Ian Sinclair
    • English

  • Using Disk and RAM Utilities

    • 1st Edition
    • Ian Sinclair
    • English

  • Students' Guide to Spreadsheets

    • 1st Edition
    • Ian Sinclair
    • English

  • Directory of Portable Databases

    Count on Cuadra/Elsevier for All Your Database Information Needs
    • 1st Edition
    • Sam Stuart
    • English

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