# Reference request for complex variables

My curriculum for math has the first chapter on complex variables. It is as stated below:

Functions of complex variables:

• Continuity and derivability of a function
• Analytic functions
• Necessary condition for $$f(z)$$ to be analytic, sufficient conditions (without proof)
• Cauchy-Riemann equations in polar form
• Harmonic functions
• Orthogonal trajectories
• Analytical and Milne-Thomson method to find $$f(z)$$ from its real or imaginary parts.
• Complex integration
• Taylor’s and Laurent’s series (without proof)
• Cauchy’s residue theorem (statement & application)

I have been able to locate some of it on MIT OpenCourseware but I am not sure if that will be enough.

Can someone please point me out to more resources for this chapter ?

• – Martin Jun 19 '13 at 20:28