COMPLEX ANALYSIS

Conformal Inequalities and the Bieberbach Conjecture. This book discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. The book covers novel techniques for solving problems in the complex plane, proves the de Branges theorem, and presents Weinsteins alternative proof. It also includes proofs of all non-elementary theorems, 90 end-of-chapter exercises with complete solutions, an extensive bibliography, and supplemental appendices.

Inegalitati conformale si conjectura Bieberbach. Aceasta carte discuta analiza matematica creata in jurul conjecturii Bieberbach, care este responsabila pentru dezvoltarea multor aspecte frumoase ale analizei complexe, in special in teoria functiei geometrice a functiilor univalente.