Book for complex analysis covering specific requirements

manpreet Best Answer 3 years ago

I want a book on Complex Analysis for self-study which covers the following syllabus in detail.

• Algebra of complex numbers, the complex plane, polynomials, power s://forum.tuteehub.com/tag/series">series, transcendental functions such as exponential, trigonometric and hyperbolic functions.

• Analytic functions, Cauchy-Riemann equations. Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum modulus principle, Schwarz lemma, Open mapping theorem.

• Taylor s://forum.tuteehub.com/tag/series">series, Laurent s://forum.tuteehub.com/tag/series">series, calculus of residues. Conformal mappings, Mobius transformations.

I searched for various books here which mostly included

• Functions of one complex variable by J.B.Conway.
• Visual complex analysis-Needham
• Stein Shakarchi.

The two of them Conway and Stein don't contain examples and exercises for self -study.

Needham is too broad to be used as a text.

I want to get a book which will cover the syllabus in detail and give handsome exercises and examples and hints to the exercises(if possible).

Please suggest a text accordingly as it is not possible for me to find atext on my own.

manpreet 3 years ago

manpreet 3 years ago