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 ...

Complex analysis and minimal surfaces constitute deeply intertwined fields that have consistently enriched each other through mutual advances in theory and application. In this context, complex ...

Reviews basic ideas of complex analysis, including solutions of ODEs and PDEs of physical interest via complex analysis; conformal mapping, including Schwarz-Christoffel transformations 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, ...

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 ...

Stephanie Edwards teaches courses in calculus, statistics, multivariate mathematics and analysis, and complex analysis. Her mathematical passion is complex function theory. She has chaired the ...