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  3. Kompleks analyse, komplekse variabler

Geometric Function Theory

- A Second Course in Complex Analysis
Af: Tom Carroll Engelsk Paperback

Geometric Function Theory

- A Second Course in Complex Analysis
Af: Tom Carroll Engelsk Paperback
Tjek vores konkurrenters priser
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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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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Produktdetaljer
Sprog: Engelsk
Sider: 353
ISBN-13: 9783031737268
Indbinding: Paperback
Udgave:
ISBN-10: 3031737261
Kategori: Kompleks analyse, komplekse variabler
Udg. Dato: 13 dec 2024
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 13 dec 2024
Forfatter(e): Tom Carroll
Forfatter(e) Tom Carroll

Kategori Kompleks analyse, komplekse variabler

ISBN-13 9783031737268

Sprog Engelsk

Indbinding Paperback

Sider 353

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 13 dec 2024

Oplagsdato 13 dec 2024

Forlag Springer International Publishing AG

Kategori sammenhænge