👉 Highest-order calculus (HOC) is a branch of mathematics that focuses on the study of functions and their properties at an abstract level, beyond the scope of standard calculus. It emphasizes understanding the behavior of functions through concepts like continuity, differentiability, and integrability in a more generalized setting, often using tools from topology and set theory. HOC seeks to unify various branches of analysis by providing a framework that can handle a broader range of mathematical structures, including those that are not necessarily real-valued or defined over the usual domains of real numbers. This approach allows for a deeper exploration of mathematical structures and their interconnections, making it particularly useful in fields like functional analysis, differential geometry, and theoretical physics.
