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Complex Analysis in One Variable

Raghavan Narasimhan and Yves Nievergelt
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Raghavan Narasimhan: University of Chicago, Department of Mathematics
Yves Nievergelt: Eastern Washington University, Department of Mathematics

in Springer Books from Springer

Date: 2001
Edition: Second Edition
ISBN: 978-1-4612-0175-5
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Chapters in this book:

Elementary Theory of Holomorphic Functions
Raghavan Narasimhan and Yves Nievergelt
Covering Spaces and the Monodromy Theorem
Raghavan Narasimhan and Yves Nievergelt
The Winding Number and the Residue Theorem
Raghavan Narasimhan and Yves Nievergelt
Picard’s Theorem
Raghavan Narasimhan and Yves Nievergelt
The Inhomogeneous Cauchy-Riemann Equation and Runge’s Theorem
Raghavan Narasimhan and Yves Nievergelt
Applications of Runge’s Theorem
Raghavan Narasimhan and Yves Nievergelt
The Riemann Mapping Theorem and Simple Connectedness in the Plane
Raghavan Narasimhan and Yves Nievergelt
Functions of Several Complex Variables
Raghavan Narasimhan and Yves Nievergelt
Compact Riemann Surfaces
Raghavan Narasimhan and Yves Nievergelt
The Corona Theorem
Raghavan Narasimhan and Yves Nievergelt
Subharmonic Functions and the Dirichlet Problem
Raghavan Narasimhan and Yves Nievergelt
Introduction
Yves Nievergelt
Review of Complex Numbers
Raghavan Narasimhan and Yves Nievergelt
Elementary Theory of Holomorphic Functions
Raghavan Narasimhan and Yves Nievergelt
Covering Spaces and the Monodromy Theorem
Raghavan Narasimhan and Yves Nievergelt
The Winding Number and the Residue Theorem
Raghavan Narasimhan and Yves Nievergelt
Picard’s Theorem
Raghavan Narasimhan and Yves Nievergelt
The Inhomogeneous Cauchy-Riemann Equation and Runge’s Theorem
Raghavan Narasimhan and Yves Nievergelt
Applications of Runge’s Theorem
Raghavan Narasimhan and Yves Nievergelt
The Riemann Mapping Theorem and Simple Connectedness in the Plane
Raghavan Narasimhan and Yves Nievergelt
Functions of Several Complex Variables
Raghavan Narasimhan and Yves Nievergelt
Compact Riemann Surfaces
Raghavan Narasimhan and Yves Nievergelt
The Corona Theorem
Raghavan Narasimhan and Yves Nievergelt
Subharmonic Functions and the Dirichlet Problem
Raghavan Narasimhan and Yves Nievergelt

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DOI: 10.1007/978-1-4612-0175-5

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