000			01295nam a2200169 a 4500
020			_a9780387988313
020			_a0387988319
082			_a515.9 _bSHA
100			_aShakarchi, Rami
245			_aProblems and solutions for Complex analysis
260			_aNew York : _bSpringer, _c©1999.
300			_axi, 246 pages : _billustrations ;
505			_a 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.
520			_aThe 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.
650			_aMathematical analysis -- Problems, exercises, etc.
942			_cREF
999			_c39259 _d39259