Potential Theory in the Complex Plane (London Mathematical Society Student Texts, Series Number 28)

This book provides an in-depth introduction to potential theory, covering topics such as harmonic and subharmonic functions, Picard's theorem, Phragmén-Lindelöf principle, Radó-Stout theorem, Lindelöf's theory of asymptotic values, Riemann mapping theorem (including continuity at the boundary), Koebe one-quarter theorem, Hilbert's lemniscate theorem, and sharp quantitative form of Runge's theorem.

The book also explores connections with functional analysis and dynamical systems, demonstrating the versatility and relevance of potential theory in various areas of mathematics.

With its comprehensive coverage and practical applications, this book is an essential resource for graduate students and researchers in complex analysis.