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Description: The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The first part comprises the basic core of a course in complex analysis for junior and senior undergraduates. The second part includes various more specialized topics as the argument principle the Poisson integral, and the Riemann mapping theorem. The third part consists of a selection of topics designed to complete the coverage of all background necessary for passing Ph.D. qualifying exams in complex analysis.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $59.95
Copyright year: 2001
Publication date: 7/17/2003
Size: 6.25" wide x 9.25" long x 1.00" tall
|The Complex Plane and Elementary Functions|
|Line Integrals and Harmonic Functions|
|Complex Integration and Analyticity|
|Laurent Series and Isolated Singularities|
|The Residue Calculus|
|The Logarithmic Integral|
|The Schwarz Lemma and Hyperbolic Geometry|
|Harmonic Functions and the Reflection Principle|
|Compact Families of Meromorphic Functions|
|Some Special Functions|
|The Dirichlet Problem|
|Hints and Solutions for Selected Exercises|
|List of Symbols|