De Gruyter Topics in Complex Analysis: 88 Mathematics Book

Topics in Complex Analysis: 88 provides a deep look into a fundamental branch of pure mathematics. This text is designed for those seeking to move beyond elementary studies and explore advanced concepts used in modern science and engineering. Complex analysis is a vital tool across many disciplines. It is used in fluid mechanics, thermodynamics, signal processing, and control theory. It also plays a role in mechanical and electrical engineering, as well as quantum mechanics. This book addresses these applications by covering specialized subject matter often omitted from standard introductory texts. Readers will find a detailed treatment of univalent functions, harmonic functions, and both subharmonic and superharmonic functions. The text also covers Nevanlinna theory, normal families, hyperbolic geometry, and the iteration of rational functions. This volume is an essential resource for students and professionals working in applied mathematics and theoretical research.