Can I read Geometric Function Theory: A Second Course in Complex Analysis on EtoBox?

Geometric Function Theory: A Second Course in Complex Analysis by Tom Carroll is a nonfiction available to read on EtoBox.

What is Geometric Function Theory: A Second Course in Complex Analysis about?

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.

Who reads Geometric Function Theory: A Second Course in Complex Analysis?

Author

Tom Carroll

Publisher

Springer Nature Switzerland AG

Published

2024

Language

EN

ISBN

9783031737268

Category

nonfiction

Subjects

Mathematics, The Complex Variable, Stem