superreal numbers

Superreal numbers extend the usual real numbers by including infinitesimally small and infinitely large quantities. Unlike standard real numbers, superreals can represent values smaller than any positive real number (infinitesimals) and larger than any real number (infinite). They are constructed within a mathematical framework called nonstandard analysis, allowing rigorous manipulation of these concepts. This extension provides a powerful way to analyze limits, derivatives, and integrals by treating infinitesimals as actual quantities, making certain calculations more intuitive and precise compared to traditional approaches.