👉 Funky math, or more formally known as nonstandard analysis, is a branch of mathematics that extends the real numbers to include infinitesimals and infinite numbers in a controlled way. This allows for a more intuitive approach to calculus and analysis, making concepts like limits and derivatives more accessible. Instead of dealing with the abstract notion of limits as a boundary between infinitesimally small and infinitely large, nonstandard analysis introduces infinitesimals—numbers that are smaller than any positive real number but not zero—as actual numbers. This means you can perform calculations involving these infinitesimals directly, simplifying proofs and providing a more geometric interpretation of calculus. For example, when finding the derivative of a function at a point, you can use infinitesimals to represent the change in the function and its rate of change, offering a visual and intuitive understanding that traditional methods might obscure.