Krishna's Complex Analysis | Text cum Reference Book for BSc & Competitive Exams | 6th Edition

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Krishna's Complex Analysis | Text cum Reference Book for BSc & Competitive Exams | 6th Edition
English | 2020 | ASIN : B08HR5YFCL | 477 pages | PDF | 11.82 MB

SYLLABUS- COMPLEX ANALYSIS:
Unit-1
Functions of a complex variable, Concepts of limit, continuity and
differentiability of complex functions, Analytic functions, Cauchy-Riemann
equations (Cartesian and polar form), Harmonic functions, Orthogonal system,
Power series as an analytic function.
Unit-2
Elementary functions, Mapping by elementary functions, Linear and bilinear
transformations, Fixed points, Cross ratio, Inverse points and critical points,
Conformal transformations.
Unit-3
Complex Integration, Line integral, Cauchy's fundamental theorem, Cauchy's
integral formula, Morera's theorem, Liouville theorem, Maximum Modulus
theorem, Taylor and Laurent series.
Unit-4
Singularities and zeros of an analytic function, Rouche's theorem, Fundamental
theorem of algebra, Analytic continuation.
Unit-5
Residue theorem and its applications to the evaluation of definite integrals,
Argument principle.
D

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