# A complex analysis book with a lot of exercises?

I am an undergrad student and this semester I took a complex analysis course. can anyone recommend $\mathbf {a \ complex\ analysis\ book\ with\ a\ lot\ of\ exercises?}$ I read Ahlfors's and Joseph Back's books but they only have a little number of exercises.

Course Content:

1. The Complex Plane: Complex Numbers, Topology of the Complex Plane.

2. Complex Functions: Limits and Continuity, Analytic Functions, Cauchy-Riemann Equations, Harmonic Functions, Elementary Transcendental Functions.

3. Complex Integration: Complex-valued functions of real variables, Complex Line Integrals, Cauchy-Goursat Theorem, Cauchy Integral Formula, The Mean Value Property and the Maximum Modulus Principle.

4. Power Series: Series of Complex Numbers, Uniform Convergence, Power Series, Power Series Expansion of an Analytic Function, The Zeros of an Analytic Function.

5. Laurent Series and Isolated Singularities: Laurent Series, Isolated Singularities of Analytic Functions

• Maybe you can read E.M.Stein's book: complex analysis. – LoveQYG Sep 6 '18 at 5:14
• I have used Daniel Alpay's A complex Analysis Problem Book. Maybe you could take a look at it. – xbh Sep 6 '18 at 5:18
• Hi - as an undergrad Priestley was standard (at several unis in the uk e.g. Cambridge). Has lots of exercises though in some sense presentation perhaps slightly more elementary. I read Ahlfors too at the time for another perspective and the two worked well together. Covers most - actually probably all of the above (been a while!) as well as some topics like Fourier / Laplace transforms. – Mehness Sep 6 '18 at 5:28
• I seem to remember that Churchill (now Brown and Churchill) has lots of exercises. Maybe you can take a look inside it on amazon. But buy a cheap used copy. The text material will be pretty simple for someone who's read Alfors. – saulspatz Sep 6 '18 at 5:28
• Brown and Churchill is the best one. – Emma Sep 6 '18 at 5:29