Recommended Textbooks in Complex Analysis: From the elementary to the advanced

  • Einar Hille, Analytic Function Theory, Vol. I. Level: Intermediate

  • Einar Hille, Analytic Function Theory, Vol. II. Level:Advanced

  • Konrad Knopp, Theory of Functions, Parts I and II. Level: Intermediate

  • Jerrold E. Marsden and Michael J. Hoffman, Basic Complex Analysis. Level: Elementary to Intermediate

  • Rolf Nevanlinna and Veikko Paatero, Introduction to Complex Analysis, 2nd edition. Level: Intermediate

  • Reinhold Remmert, Theory of Complex Functions. Level: Intermediate

  • Reinhold Remmert, Classical Topics in Complex Function Theory. Level: Advanced

  • Carl Ludwig Siegel, Topics in Complex Function Theory, Vols. I, II and III. Level: Advanced
    • These books are out of print so you will need to get either the library copy or find a used copy.

  • Murray Spiegel, Schaum's Outline of Complex Variables, 2ed. Level: Elementary

  • Elias Stein and Rami Shakarchi, Complex Analysis. Level: Intermediate to Advanced