Functions of a Complex Variable: Theory and Technique

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The book is a literal reprint of the 1966 edition. This includes the font in which that edition was printed. It would have helped if the publisher had recast the text in a more modern font, that current readers would find easier to read. Not that it's impossible with the original presentation, but there is a reason why fonts have changed in recent decades. Perhaps it would have added to the cost of this book to have done so.Having said that, the text is a pleasure to read, at least for this reviewer, who studied complex analysis from Jerrold Marsden's "Basic Complex Analysis". The latter book is a more informal presentation than this. The current book emphasises the mathematical rigour, while Marsden focused on giving a pragmatic understanding of how to find contour integrals.Compared to recent texts, Carrier's book is skimpy with diagrams. A more generous use of these would aid some readers new to the subject.

Author(s): George F. Carrier
Series: Classics in Applied Mathematics 49
Publisher: Society for Industrial & Applied
Year: 2005

Language: English
Pages: 453

Functions of a Complex Variable: Theory and Technique......Page 2
ISBN 0-89871-595-4......Page 7
Contents......Page 8
Preface......Page 12
Erratum......Page 14
1 Complex Numbers and their Elementary Properties......Page 16
2 Analytic Functions......Page 40
3 Contour Integration......Page 92
4 Conformal Mapping......Page 126
5 Special Functions......Page 198
6 Asymptotic Methods......Page 256
7 Transform Methods......Page 316
8 Special Techniques......Page 391
Index......Page 448