Lectures on Complex Analysis
€ 72,90
Informação do Produto
| ISBN | 9783032139955 |
|---|---|
| Editora | Springer Nature Switzerland AG |
| Data de Publicação | 04/06/2026 |
| Preço (iva excl.) | € 68,77 |
| Imposto | € 4,13 |
| Preço (iva inc.) | € 72,90 |
| Disponibilidade | 1 unidade em armazém externo |
Descrição do Produto
This elegant textbook offers a comprehensive course on one-dimensional complex analysis. It includes many topics that, in this scope, are not covered in most other textbooks, such as a detailed investigation of the Schwarzian derivative and its associated differential equation, with applications to conformal mappings of circular polygons; various proofs of the uniformisation theorem for planar domains; an introduction to the theory of ordinary differential equations in the complex domain, culminating in a proof of the Cauchy–Kovalevskaya theorem; an introduction to the theory of normal families, including Zalcman's lemma; a proof of the Paley–Wiener theorem; a complete discussion of the Laguerre–Pólya class; solution of the Dirichlet problem, with special emphasis on harmonic measure and Green's function, and applications to conformal mappings of multiply connected domains; a detailed description of the dynamics of polynomials; and the consistent use of the theory of proper mappings whenever possible.