An Introduction to Complex Analysis: Classical and Modern Approaches, 1st Edition (e-Book) book cover

An Introduction to Complex Analysis

Classical and Modern Approaches, 1st Edition

By Wolfgang Tutschke, Harkrishan L. Vasudeva

Chapman and Hall/CRC

480 pages

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pub: 2004-06-25
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Description

Like real analysis, complex analysis has generated methods indispensable to mathematics and its applications. Exploring the interactions between these two branches, this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole.

To set the groundwork

Table of Contents

Preliminaries. The

Classical Approach. An Alternative Approach. Local Properties. Global Properties. Isolated Singularities. Homotopy. Residue Theory. Applications of Residue Calculus. Mapping Properties. Special Functions. Boundary Value Problems. References.

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT037000
MATHEMATICS / Functional Analysis