complex analysis
Definitions
The branch of mathematical analysis that investigates functions of a complex variable.
A field of mathematics concerned with the properties and applications of holomorphic functions, which are complex-differentiable functions.
Examples
The professor explained how complex analysis provides powerful tools for solving problems in fluid dynamics.
Students often find that mastering complex analysis requires a solid foundation in both calculus and real analysis.
Synonyms
theory of functions complex variable theory analytic function theory