Lectures on Complex Analysis
€72.90
Product Information
| ISBN | 9783032139955 |
|---|---|
| Publisher | Springer Nature Switzerland AG |
| Publishing Date | 04/06/2026 |
| Price (excl. tax) | €68.77 |
| Tax | €4.13 |
| Price (incl. tax) | €72.90 |
| Availability | 1 unit in external warehouse |
Product Description
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.