Complex analysis and the geometry of domains represent a vibrant interdisciplinary area that amalgamates tools from pure mathematics with practical applications. This field investigates the properties ...

This project aims at developing mathematical statistics and probability theory to provide methodologies for modeling and analysis of complex random systems. Statistical methods enable analysis of ...

Statistical gene mapping allows the approximate localization of disease susceptibility genes on the human gene map in the absence of any functional knowledge of such genes. After a brief introduction ...

The [Math Sorcerer] loves books. His latest acquisition is the famous Real and Complex Analysis, which is a very stout math book. How stout? Well, there are several chapters on holomorphic functions, ...

Discusses the elements of basic real and complex analysis, Banach spaces, Lp spaces, and many relevant inequalities. Includes applications of existence and uniqueness of solutions to various types of ...

Professor Ablowitz’s work centers around nonlinear waves, integrable systems, and physical applied mathematics — e.g., nonlinear optics and water waves and applications of complex analysis. Professor ...