👉 Midnight math, also known as nonstandard analysis, is a branch of mathematics that extends the real number system by introducing infinitesimals—numbers smaller than any positive real number but not zero. This approach allows for a more intuitive understanding of calculus and limits, as it treats infinitesimals as actual numbers rather than just concepts. By using these infinitesimals, mathematicians can perform calculations involving rates of change and areas under curves in a more straightforward manner, often avoiding the cumbersome limits and derivatives of standard calculus. This method provides a powerful tool for solving complex problems in physics, engineering, and economics, offering insights that align closely with our intuitive understanding of continuous change.
