Complex Analysis (Notes) by Ms. Iqra Liaqat

These notes are send by Ms. Iqra Liaqat. We are really very thankful to her for providing these notes and appreciates her effort to publish these notes on MathCity.org

Complex analysis is the study of functions of complex numbers. It is useful in a variety of mathematical fields, such as algebraic geometry, number theory, analytic combinatorics, and applied mathematics, as well as in physics fields like twistor theory, hydrodynamics, and thermodynamics. Additionally, complex analysis has uses in the engineering disciplines of nuclear, aerospace, mechanical, and electrical engineering.

There are seven chapters in the notes. Details are given below, download or view the PDF for topics.

• Chapter 0: Introduction
• Chapter 1: Limits, continuity and differentiability (14)
• Chapter 2: Analytic or regular or holomorphic functions (30)
• Chapter 3: Elementary transcendental functions (112)
• Chapter 4: Conformal Representation Mapping or Transformation (169)
• Chapter 5: Complex Integration (236)
• Chapter 6: Power series (294)
• Chapter 7: Calculus of Residues (341)

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