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Geometric Function Theory
- A Second Course in Complex Analysis
Engelsk
Bogcover for Geometric Function Theory af Tom Carroll, 9783031737268
Specifikationer
Sprog:
Engelsk
Sider:
353
ISBN-13:
9783031737268
Indbinding:
Paperback
ISBN-10:
3031737261
Udg. Dato:
13 dec 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
13 dec 2024
Forfatter(e):

Geometric Function Theory

- A Second Course in Complex Analysis
Engelsk
Paperback 2024
Format:

Bog beskrivelse

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, as well as 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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Specifikationer
Sprog:
Engelsk
Sider:
353
ISBN-13:
9783031737268
Indbinding:
Paperback
ISBN-10:
3031737261
Udg. Dato:
13 dec 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
13 dec 2024
Forfatter(e):
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