We follow this introduction with a record of some standard notation that will be used throughout this text.

Complex analysis is a branch of mathematics that involves functions of complex numbers. It provides an extremely powerful tool with an unex-pectedly large number of applications, including in number …

This course provides an introduction to complex analysis which is the theory of complex functions of a complex variable.

In addition to being mathematically elegant, complex analysis provides powerful tools for solving problems that are either very difficult or virtually impossible to solve in any other way.

Complex analysis is the study of functions of a complex variable. A complex variable (z) can take on the value of a complex number (x + iy), where i is the unit imaginary number and x and y represent real …

Jul 23, 2025 · Complex analysis is a branch of mathematics that deals with complex numbers, their functions, and their calculus. In simple terms, complex analysis is an extension of the calculus of real …

Aug 28, 2003 · Complex analysis is a classic and central area of mathematics, which is studies and exploited in a range of important fields, from number theory to engineering.

This text is designed for a first course in complex analysis for beginning graduate students or for well-prepared undergraduates whose background includes multivariable calculus, linear algebra, and …

Mar 28, 2023 · This free course, Introduction to complex analysis, is an extract from the third level Open University course M337 Complex analysis, which develops the theory of functions of a complex …

These notes are about complex analysis, the area of mathematics that studies analytic functions of a complex variable and their properties. While this may sound a bit specialized, there are (at least) two …