A complex analysis book with a lot of exercises?

1.1k Views Asked by At

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

2

There are 2 best solutions below

0
On

Try

1) Complex variables and applications by J.W.Brown and R.V.Churchill

2) Foundations of complex analysis by S.Ponnusamy

Both book contains a lot of good exercise problems for grow up the knowledge!

0
On

You can read the following books, which have good number of exercises;

  1. Fundamentals of Complex Analysis with Applications to Engineering, by Edward B. Saff (Author), Arthur David Snider
  2. A First Course in Complex Analysis with Applications by D. G. Zill and P. D. Shanahan