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About Chapter III. Elementary Properties and Examples of Analytic Functions
This study guide provides an overview of topics covered in Chapter III of Conway's Functions of One Complex Variable, including: 1) Power series, including convergence, absolute convergence, radius of convergence, and operations on power series. 2) Analytic functions, including definitions of differentiability and analyticity, properties of derivatives, and the Cauchy-Riemann equations. 3) Analytic functions as mappings, including angle preservation under non-zero derivatives, conformal mappings, Möbius transformations defined by translation, dilation, rotation, and inversion, and their properties such as preserving cross-ratios and mapping circles to circles.
Detailed Information
| Author: | ['TOM DAVIS'] |
|---|---|
| Publication Year: | 2020 |
| Pages: | 2 |
| Language: | English |
| Format: | |
| Price: | FREE |
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