The Elements of Complex Analysis

By: Choudhary, BMaterial type: TextTextPublication details: New Delhi Wiley Eastern Lmt. 1983Edition: 2nd edDescription: xii, 333 pages : illustrationsISBN: 9780470221167 ; 047022116X ; 9788122403992; 8122403999 Subject(s): Mathematical analysisDDC classification: 512.52
Contents:
Sets, Functions and Complex Numbers; Metric Spaces; Elementary Properties of Analytic Functions; Line Integral and Cauchy's Theorem; Applications of Cauchy's Theorem; Power Series; Laurent Series, Singularities; Residue Theorem and Its Applications; Conformal Mapping; Harmonic Functions; Weierstrass Factorization Theorem; Extension of the Maximum Modulus Principle; Elliptic Functions; Analytic Continuation, Differential Equations; Approximation by Rational Functions and Polynomials.
Summary: This introduction to the field features proofs and motivation, gives examples and exercises at various levels of difficulty to illustrate the concepts, details uniform approximation and elliptic functions, and provides ordinary linear homogeneous differential equations of the second order.
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Includes Bibliography & Index

Sets, Functions and Complex Numbers; Metric Spaces; Elementary Properties of Analytic Functions; Line Integral and Cauchy's Theorem; Applications of Cauchy's Theorem; Power Series; Laurent Series, Singularities; Residue Theorem and Its Applications; Conformal Mapping; Harmonic Functions; Weierstrass Factorization Theorem; Extension of the Maximum Modulus Principle; Elliptic Functions; Analytic Continuation, Differential Equations; Approximation by Rational Functions and Polynomials.


This introduction to the field features proofs and motivation, gives examples and exercises at various levels of difficulty to illustrate the concepts, details uniform approximation and elliptic functions, and provides ordinary linear homogeneous differential equations of the second order.

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