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Synopsis
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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Language Notes
Text: English (translation)
Original Language: Japanese
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Introduction to Complex Analysis (Translations of Mathematical Monographs)
Published by
American Mathematical Society, 1997
ISBN 10: 0821803778
ISBN 13: 9780821803776
Used
Hardcover
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