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7.0 MB
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EC8B58509730C45DA239B44E0F4DEBF1682F8225
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April 22, 2026, 1:49 p.m.
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(Last updated: April 22, 2026, 1:49 p.m.)
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| ['Carroll T. Geometric Function Theory. A Second Course in Complex Analysis 2025.pdf'] | 0 bytes |
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29.0 MB
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2024-11-16
| Uploaded by indexFroggy | Size 29.0 MB | Health [ 16 /1 ] | Added 2024-11-16 |
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SOURCE: Carroll T. Geometric Function Theory. A Second Course in Complex Analysis 2025
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MEDIAINFO
Textbook in PDF format This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as: The spherical geometry of the extended complex plane, The hyperbolic geometry of the Poincaré disk, Conformal mappings, The Riemann Mapping Theorem and uniformisation of planar domains, Characterisations of simply connected domains, The convergence of Riemann maps in terms of Carathéodory convergence of the image domains, Normal families and Picard's theorems on value distribution, The fundamentals of Univalent function theory. Throughout the text, the synergy between analysis and geometry is emphasised, with proofs chosen for their directness. The textbook is self-contained, requiring only a first undergraduate course in complex analysis. The minimal topology needed is introduced as necessary. While primarily aimed at upper-level undergraduates, the book also serves as a concise reference for graduates working in complex analysis
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