Complex Analysis and Dynamics in One Variable with Applications

This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material,...

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Bibliografske podrobnosti
Glavni avtor: Magalhães, Luis T. (Author)
Korporativna značnica: SpringerLink (Online service)
Format: Elektronski eKnjiga
Jezik:angleščina
Izdano: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Izdaja:1st ed. 2025.
Teme:
Online dostop:https://doi.org/10.1007/978-3-031-64999-8
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Kazalo:
  • Complex plane
  • Functions
  • Derivative
  • Integral
  • Analyticity
  • Uni cation of holomorphy cauchy theorem and analyticity
  • Global cauchy theorem
  • Meromorphic functions
  • Harmonic functions
  • Conformal regions
  • Analytic continuation and riemann surfaces
  • Uniformization of riemann surfaces
  • Complex dynamics.