Author | Gamelin, Theodore W. author |
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Title | Complex Analysis [electronic resource] / by Theodore W. Gamelin |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-0-387-21607-2 |
Descript | XVIII, 478 p. 18 illus. online resource |
First Part -- I The Complex Plane and Elementary Functions -- II Analytic Functions -- III Line Integrals and Harmonic Functions -- IV Complex Integration and Analyticity -- V Power Series -- VI Laurent Series and Isolated Singularities -- VII The Residue Calculus -- Second Part -- VIII The Logarithmic Integral -- IX The Schwarz Lemma and Hyperbolic Geometry -- X Harmonic Functions and the Reflection Principle -- XI Conformal Mapping -- Third Part -- XII Compact Families of Meromorphic Functions -- XIII Approximation Theorems -- XIV Some Special Functions -- XV The Dirichlet Problem -- XVI Riemann Surfaces -- Hints and Solutions for Selected Exercises -- References -- List of Symbols