Course description

Advanced Complex Analysis explores the intricate properties and behaviors of complex functions, focusing on concepts such as residues, Laurent series, and harmonic functions. It emphasizes the application of Cauchy’s Residue Theorem for evaluating integrals and delves into special functions like the Riemann Zeta function. The course provides a deep understanding of complex function theory, its use in real analysis, and its applications in fields like physics and number theory. Key topics include Taylor series, infinite products, and periodic functions.

What will i learn?

• Get a deep understanding of the fundamental concepts of Residues, Laurent series, Harmonic and Periodic functions.
• Evaluate definite and improper real integrals applying the Cauchy's Residue Theorem.