Introduction to Complex Analysis

Introduction to Complex Analysis
ISBN-10
0821889605
ISBN-13
9780821889602
Series
Introduction to Complex Analysis
Category
Mathematics
Pages
268
Language
English
Published
2008-04-09
Publisher
American Mathematical Soc.
Author
Junjiro Noguchi

Description

This book describes a classical introductory part of complex analysis for university students in the sciences and engineering and could serve as a text or reference book. It places emphasis on rigorous proofs, presenting the subject as a fundamental mathematical theory. The volume begins with a problem dealing with curves related to Cauchy's integral theorem. To deal with it rigorously, the author gives detailed descriptions of the homotopy of plane curves. Since the residue theorem is important in both pure and applied mathematics, the author gives a fairly detailed explanation of how to apply it to numerical calculations; this should be sufficient for those who are studying complex analysis as a tool.

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