Problems and solutions for Complex analysis

By: Shakarchi, RamiMaterial type: TextTextPublication details: New York : Springer, ©1999Description: xi, 246 pages : illustrationsISBN: 9780387988313; 0387988319 Subject(s): Mathematical analysis -- Problems, exercises, etcDDC classification: 515.9
Contents:
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.
Summary: 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.
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Reference Books Reference Books Main Library
Reference 		REF 515.9 SHA (Browse shelf(Opens below)) Available 009880
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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.

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.

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