TY - BOOK AU - Shakarchi, Rami TI - Problems and solutions for Complex analysis SN - 9780387988313 U1 - 515.9 PY - 1999/// CY - New York : PB - Springer, KW - Mathematical analysis -- Problems, exercises, etc N1 - I. Complex Numbers and Functions -- II. Power Series -- III. Cauchy's Theorem, First Part -- IV. Winding Numbers and Cauchy's Theorem -- V. Applications of Cauchy's Integral Formula -- VI. Calculus of Residues -- VII. Conformal Mappings -- VIII. Harmonic Functions -- IX. Schwarz Reflection -- X. The Riemann Mapping Theorem -- XI. Analytic Continuation along Curves -- XII. Applications of the Maximum Modulus Principle and Jensen's Formula -- XIII. Entire and Meromorphic Functions -- XIV. The Gamma and Zeta Functions -- XV. The Prime Number Theorem N2 - The material in the remaining 8 chapters is more advanced, with problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. ER -