Geometric Function Theory A Second Course in Complex Analysis /
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 doma...
-д хадгалсан:
| Үндсэн зохиолч: | |
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| Байгууллагын зохиогч: | |
| Формат: | Цахим Цахим ном |
| Хэл сонгох: | англи |
| Хэвлэсэн: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Хэвлэл: | 1st ed. 2024. |
| Цуврал: | Springer Undergraduate Mathematics Series,
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| Нөхцлүүд: | |
| Онлайн хандалт: | https://doi.org/10.1007/978-3-031-73727-5 |
| Шошгууд: |
Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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Агуулга:
- 1 Introduction
- 2 The Complex Plane - Preparatory Topics
- 3 The Riemann Sphere
- 4 The Hyperbolic Disk
- 5 Normal Families and Value Distribution
- 6 Simply Connected Domains and the Riemann Mapping Theorem
- 7 Runge's Theorem and Further Characterisations of Simply Connected Domains
- 8 Univalent Functions - the Basics
- 9 Carathéodory Convergence of Domains and Hyperbolic Geodesics
- 10 Uniformisation of Planar Domains.