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A Collection of Problems on Complex Analysis

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SKU:
9780486669137
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  • Product Details

    Author:
    L. I. Volkovyskii, G. L. Lunts, I. G. Aramanovich
    Format:
    Paperback
    Pages:
    448
    Publisher:
    Dover Publications (November 2, 2011)
    Language:
    English
    ISBN-13:
    9780486669137
    ISBN-10:
    0486669130
    Weight:
    18.16oz
    Dimensions:
    5.5" x 8.5"
    Case Pack:
    18
    Series:
    Dover Books on Mathematics
    File:
    Dover-Dover_05022026_P10034514_onix30_Complete-20260501.xml
    Folder:
    Dover
    As low as:
    $18.95
    List Price:
    $19.95
    Publisher Identifier:
    P-DOVER
    Discount Code:
    D
    Audience:
    College/higher education
    Pub Discount:
    65
    Imprint:
    Dover Publications
  • Overview

    This comprehensive collection contains over 1,500 problems on the theory of functions of the complex variable and covers nearly every branch of classical function theory. It will be of special interest to practicing engineers and researchers in the physical sciences, for considerable attention is given to those problems which illustrate the application of the theory of functions of a complex variable to problems dealing with the mechanics of continuous media and electrical engineering. The problems themselves range in difficulty from elementary to those encountered only in more advanced treatments.
    The first four chapters involve complex numbers and functions of a complex variable; conformal mappings connected with elementary functions; supplementary geometrical questions and generalized analytic functions; and integrals and power series.
    Chapters V through VIII cover the Launrent series, singularities of single-valued functions, and integral functions; various series of functions, parametric integrals, and infinite products; residues and their applications; integrals of the Cauchy type; and integral functions of Poisson and Schwarz.
    The final three chapters discuss analytic continuation, singularities of many-valued character, and Riemann Surfaces; conformal mappings; and applications to mechanic and physics. Answers and solutions are grouped at the end of the text.