Computable analysis

Computable analysis is a branch of mathematics and computer science that focuses on studying functions and problems that can be solved or approximated by computers. It explores which mathematical problems can be effectively computed and how to represent real numbers and other mathematical objects in ways that computers can handle. By establishing a framework for understanding what is computable, it helps bridge the gap between theoretical mathematics and practical computation, influencing fields like numerical analysis, algorithm design, and the development of software for scientific computing.