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 ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

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, ...

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 ...

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 ...

You can probably think of a time when you’ve used math to solve an everyday problem, such as calculating a tip at a restaurant or determining the square footage of a room. But what role does math play ...

Every day, dozens of like-minded mathematicians gather on an online forum called Zulip to build what they believe is the future of their field. They’re all devotees of a software program called Lean.