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Copley, Leslie

Mathematics for the Physical Sciences

DE GRUYTER OPEN

Open Access

    Open Access
    eBook (PDF)
    Publication Date:
    December 2014
    Copyright year:
    2015
    ISBN
    978-3-11-040947-5
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    Overview

    A text on advanced mathematical methods with numerous applications, detailed derivations and solutions, and a unique range of practical topics.

    Aims and Scope

    The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.

    Details

    446 pages
    50 Fig.
    DE GRUYTER OPEN
    Language:
    English
    Type of Publication:
    Textbook
    Keyword(s):
    mathematical physics, boundary value problems

    MARC record

    MARC record for eBook

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    Leslie Copley, Professor Emeritus of Physics, Carleton University, Canada.

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